Changes

update + waybak links
Line 636: Line 636:  
===DIEP. Note 20===
 
===DIEP. Note 20===
   −
CP 2.418
+
* CP 2.418
   −
===DIEP. Work Area===
+
==DIEP. De In Esse Predication • Discussion==
 +
 
 +
===DIEP. Discussion Note 1===
    
<pre>
 
<pre>
01.  1880, CP 4.12
  −
02.  1880, CP 4.13
  −
03.  1880, CP 4.14
     −
04.  1896, CP 3.440
+
Re: CP 3.441
05.  1896, CP 3.441
+
 
06.  1896, CP 3.442
+
GR: given that two paragraphs later, Peirce writes:
07.  1896, CP 3.443
  −
08.  1896, CP 3.444-445
  −
09.  1885, CP 3.374
     −
10.  1902, CP 2.323
+
    | if the Devil were elected president of the United States, it would prove
11.  1895, CP 2.356
+
    | highly conducive to the spiritual welfare of the people (because he will
 +
    | not be elected), yet both Professor Schröder and I prefer to build the
 +
    | algebra of relatives upon this conception of the conditional proposition.
   −
12.  1903, CP 4.517
+
GR: and given the bizarre situation that the devil HAS been
 +
    elected President of the United States, what does this
 +
    say about Peirce's or Schroder's logic, especially in
 +
    its esthetical and ethical presuppositions?
   −
13.  1903, CP 3.606-608
+
JA: he means that if the name on the ballot were "The Devil",
14.  1897, CP 3.526
+
    the people would not thus knowingly elect himof course,
15.  1897, CP 3.527
+
    putting his real name on the ballot would be the last thing
16.  1897, CP 3.527
+
    that the Devil would do.
17.  ????, CP 2.361
  −
181908, CP 3.527 note
  −
19.  1867, 1.559
  −
20.
     −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
JA: but hey, don't read ahead,
 +
    it'll spoil the surprise.
   −
1.559      x
+
GR: Most interesting interpretation.
   −
2.323      x
+
GR: Yes, I certainly try not to "spoil the surprise".
2.347-349
  −
2.356      x
  −
2.361      x
  −
2.382
  −
2.394
  −
2.407-409
  −
2.418
  −
2.546
     −
2.
+
JA: of course, none of this applies in california ...
323
  −
348
  −
349
  −
546
     −
2.
+
JA: With that last bit (CP 3.442) on the "state of information" (SOI)
231
+
    in the mix, I guess that I can now follow-up without letting any
250
+
    more categories out of the bag -- there are only three after all --
260
+
    Peirce's simplex faith in the democratic process is conditioned,
293
+
    simplexly or otherwise, on the evidently inessential contingency
364
+
    of a "liberally informed electorate" (LIE).
409
  −
416
  −
418
  −
418n
     −
3.374      x
+
</pre>
3.375
  −
3.382
  −
3.384      Peirce's Law
  −
3.440-445  x
  −
3.446-448
  −
3.526-527  x
  −
3.606-608  x
     −
4.12-14    x
+
===DIEP. Discussion Note 2===
4.21
  −
4.49
  −
4.372-376
  −
4.401
  −
4.454
  −
4.514-523
  −
4.517      x
  −
4.520
  −
4.564
     −
6.450
+
<pre>
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
CSP = C.S. Peirce
 +
JA  = Jon Awbrey
 +
BM  = Bernard Morand
   −
DIEPDiscussion Note 1
+
CSP: | [A Boolian Algebra With One Constant] (cont.)
 +
    |
 +
    | To express the proposition: "If S then P",
 +
    | first write:
 +
    |
 +
    |    A
 +
    |
 +
    | for this proposition.  But the proposition
 +
    | is that a certain conceivable state of things
 +
    | is absent from the universe of possibility.
 +
    | Hence instead of A we write:
 +
    |
 +
    |    B B
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
BM: All was going right till there for me.
   −
Re: CP 3.441
+
CSP: | Then B expresses the possibility of S being true and P false.
   −
GR: given that two paragraphs later, Peirce writes:
+
BM: Now, I am stopped.  May be there is an intermediary
 +
    implicit proposition that I am not seeing?  If yes
 +
    which one?  This could be of interest to Gary too:
 +
    I guess that for the whole passage the elements
 +
    of the demonstration count more than the
 +
    conclusion in itself.
   −
    | if the Devil were elected president of the United States, it would prove
+
CSP: | Since, therefore, SS denies S, it follows
    | highly conducive to the spiritual welfare of the people (because he will
+
    | that (SS, P) expresses B.  Hence we write:
    | not be elected), yet both Professor Schröder and I prefer to build the
+
    |
    | algebra of relatives upon this conception of the conditional proposition.
+
    |   SS, P;  SS, P.
 +
    |
 +
    | C.S. Peirce, CP 4.14, untitled paper circa 1880.
   −
GR: and given the bizarre situation that the devil HAS been
+
Peirce is working analytically here -- I mean that in the good sense of the word --
    elected President of the United States, what does this
+
in the manner that Bentham calls "paraphrasis", Boole "development", or most math
    say about Peirce's or Schroder's logic, especially in
+
folks "expansion", if I remember right.  But he already knows the answer he wants,
    its esthetical and ethical presuppositions?
+
so the whole analysis will have that "pulling a rabbit out of the hat" quality of
 +
such performances.
   −
JA: he means that if the name on the ballot were "The Devil",
+
The basic operation is unmarked, or you could think of the blank space as a symbol
    the people would not thus knowingly elect himof course,
+
for the logical operation of "joint denial", that Peirce counted as one of the two
    putting his real name on the ballot would be the last thing
+
possible "amphecks" (cutting both ways), Sheffer called a "stroke", and comp sci
    that the Devil would do.
+
folk call NNOR (neither nor)The punctuation marks are not really operators,
 +
they just group terms, much like the "puncts" or "dots" of Peano that Russell
 +
so butchered to the point of unintelligibility, like so much else.
   −
JA: but hey, don't read ahead,
+
In saying "S => P" one is saying "that a certain conceivable state of things
    it'll spoil the surprise.
+
is absent from the universe of possibility" -- sounds awfully "intensional",
 +
does it not? -- but anyway, the conceivable states of things that one is
 +
excluding from the universe of possibility are any states of things that
 +
would form a counterexample to "S => P", namely, those states of things
 +
that are described by "S and not P".
   −
GR: Most interesting interpretation.
+
That denial would take the form:
   −
GR: Yes, I certainly try not to "spoil the surprise".
+
S and not P.  S and not P.
   −
JA: of course, none of this applies in california ...
+
Let's call that the Lady Macbeth denial.
   −
JA: With that last bit (CP 3.442) on the "state of information" (SOI)
+
It remains to analyze the metalanguage phrase "S and not P"
    in the mix, I guess that I can now follow-up without letting any
+
using only "S", "P", and the tacit joint denial connective.
    more categories out of the bag -- there are only three after all --
  −
    Peirce's simplex faith in the democratic process is conditioned,
  −
    simplexly or otherwise, on the evidently inessential contingency
  −
    of a "liberally informed electorate" (LIE).
     −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
If I wrote "S P", this would be saying "not S and not P",
 +
so all I need to do is change the sign on the S part of it,
 +
which I can do by doubling the S.  As we have stipulated,
 +
doubling is a way of putting things in doubt.  Therefore,
 +
"SS, P" says "S and not P", which is the thing we want
 +
to deny, and which final denial we can make by writing:
   −
DIEP. Discussion Note 2
+
SS, P;  SS, P.
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
Voila!
   −
CSP = C.S. Peirce
+
</pre>
JA  = Jon Awbrey
  −
BM  = Bernard Morand
     −
CSP: | [A Boolian Algebra With One Constant] (cont.)
+
===DIEP. Discussion Note 3===
    |
  −
    | To express the proposition:  "If S then P",
  −
    | first write:
  −
    |
  −
    |    A
  −
    |
  −
    | for this proposition.  But the proposition
  −
    | is that a certain conceivable state of things
  −
    | is absent from the universe of possibility.
  −
    | Hence instead of A we write:
  −
    |
  −
    |    B B
     −
BM: All was going right till there for me.
+
<pre>
   −
CSP: | Then B expresses the possibility of S being true and P false.
+
JA = Jon Awbrey
 +
TJ = Tom Johnson
   −
BM: Now, I am stopped.  May be there is an intermediary
+
Re: CP 4.517
    implicit proposition that I am not seeing?  If yes
  −
    which one?  This could be of interest to Gary too:
  −
    I guess that for the whole passage the elements
  −
    of the demonstration count more than the
  −
    conclusion in itself.
     −
CSP: | Since, therefore, SS denies S, it follows
+
This started out as an attempt to track down a 30 year old memory,
    | that (SS, P) expresses B.  Hence we write:
+
having to do with the phrase "predication (de?) inesse", which
    |
+
I thought I saw first in Peirce, supposed that he got from
    |    SS, P;  SS, P.
+
Leibniz (who I also read a lot of in those days), and had
    |
+
a "clear and distinct" idea (the worst kind) that it was
    | C.S. Peirce, CP 4.14, untitled paper circa 1880.
+
an "intensional" account of predication.  I used to have
 
+
access to the microfilm manuscripts of Peirce's nachlass
Peirce is working analytically here -- I mean that in the good sense of the word --
+
at that time, and if it's there I probably won't get back
in the manner that Bentham calls "paraphrasis", Boole "development", or most math
+
to it.  From what I have uncovered this time around, I seem
folks "expansion", if I remember right.  But he already knows the answer he wants,
+
to be correct about the significance that Leibniz attached to
so the whole analysis will have that "pulling a rabbit out of the hat" quality of
  −
such performances.
  −
 
  −
The basic operation is unmarked, or you could think of the blank space as a symbol
  −
for the logical operation of "joint denial", that Peirce counted as one of the two
  −
possible "amphecks" (cutting both ways), Sheffer called a "stroke", and comp sci
  −
folk call NNOR (neither nor).  The punctuation marks are not really operators,
  −
they just group terms, much like the "puncts" or "dots" of Peano that Russell
  −
so butchered to the point of unintelligibility, like so much else.
  −
 
  −
In saying "S => P" one is saying "that a certain conceivable state of things
  −
is absent from the universe of possibility" -- sounds awfully "intensional",
  −
does it not? -- but anyway, the conceivable states of things that one is
  −
excluding from the universe of possibility are any states of things that
  −
would form a counterexample to "S => P", namely, those states of things
  −
that are described by "S and not P".
  −
 
  −
That denial would take the form:
  −
 
  −
S and not P.  S and not P.
  −
 
  −
Let's call that the Lady Macbeth denial.
  −
 
  −
It remains to analyze the metalanguage phrase "S and not P"
  −
using only "S", "P", and the tacit joint denial connective.
  −
 
  −
If I wrote "S P", this would be saying "not S and not P",
  −
so all I need to do is change the sign on the S part of it,
  −
which I can do by doubling the S.  As we have stipulated,
  −
doubling is a way of putting things in doubt.  Therefore,
  −
"SS, P" says "S and not P", which is the thing we want
  −
to deny, and which final denial we can make by writing:
  −
 
  −
SS, P;  SS, P.
  −
 
  −
Voila!
  −
 
  −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
  −
 
  −
DIEP.  Discussion Note 3
  −
 
  −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
  −
 
  −
JA = Jon Awbrey
  −
TJ = Tom Johnson
  −
 
  −
Re: CP 4.517
  −
 
  −
This started out as an attempt to track down a 30 year old memory,
  −
having to do with the phrase "predication (de?) inesse", which
  −
I thought I saw first in Peirce, supposed that he got from
  −
Leibniz (who I also read a lot of in those days), and had
  −
a "clear and distinct" idea (the worst kind) that it was
  −
an "intensional" account of predication.  I used to have
  −
access to the microfilm manuscripts of Peirce's nachlass
  −
at that time, and if it's there I probably won't get back
  −
to it.  From what I have uncovered this time around, I seem
  −
to be correct about the significance that Leibniz attached to
   
the phrase -- will have to check again -- but all I find so far
 
the phrase -- will have to check again -- but all I find so far
 
in the CP is 'conditio/consequentia simplex de inesse' that Peirce
 
in the CP is 'conditio/consequentia simplex de inesse' that Peirce
Line 895: Line 814:  
discover the quantum of truth in the sign "physical causality".
 
discover the quantum of truth in the sign "physical causality".
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
</pre>
   −
DIEP. Discussion Note 4
+
===DIEP. Discussion Note 4===
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
<pre>
    
JA = Jon Awbrey
 
JA = Jon Awbrey
Line 1,014: Line 933:  
http://members.door.net/arisbe/menu/library/bycsp/fixation/fx-frame.htm
 
http://members.door.net/arisbe/menu/library/bycsp/fixation/fx-frame.htm
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
</pre>
   −
DIEP. Discussion Note 5
+
===DIEP. Discussion Note 5===
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
<pre>
    
GR = Gary Richmond
 
GR = Gary Richmond
Line 1,084: Line 1,003:  
That's all I can remember at the moment ...
 
That's all I can remember at the moment ...
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
</pre>
   −
DIEP. Discussion Note 6
+
===DIEP. Discussion Note 6===
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
<pre>
    
JA = Jon Awbrey
 
JA = Jon Awbrey
Line 1,244: Line 1,163:  
I will pick up from there next time.
 
I will pick up from there next time.
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
</pre>
   −
DIEP. Discussion Note 7
+
===DIEP. Discussion Note 7===
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
+
<pre>
    
BM = Bernard Morand
 
BM = Bernard Morand
Line 1,360: Line 1,279:  
http://www.louvre.fr/img/photos/collec/ager/grande/ma0399.jpg
 
http://www.louvre.fr/img/photos/collec/ager/grande/ma0399.jpg
   −
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
   
</pre>
 
</pre>
   −
==HAPA. Hypostatic And Prescisive Abstraction==
+
==DIEP. De In Esse Predication &bull; Work Area==
 
  −
===HAPA. Note 1===
      
<pre>
 
<pre>
| When we have analyzed a proposition so as to throw into the subject everything
  −
| that can be removed from the predicate, all that it remains for the predicate to
  −
| represent is the form of connection between the different subjects as expressed in
  −
| the propositional 'form'.  What I mean by "everything that can be removed from the
  −
| predicate" is best explained by giving an example of something not so removable.
  −
| But first take something removable.  "Cain kills Abel."  Here the predicate
  −
| appears as "--- kills ---."  But we can remove killing from the predicate
  −
| and make the latter "--- stands in the relation --- to ---."  Suppose we
  −
| attempt to remove more from the predicate and put the last into the form
  −
| "--- exercises the function of relate of the relation --- to ---" and then
  −
| putting "the function of relate to the relation" into a another subject leave
  −
| as predicate "--- exercises --- in respect to --- to ---."  But this "exercises"
  −
| expresses "exercises the function".  Nay more, it expresses "exercises the function
  −
| of relate", so that we find that though we may put this into a separate subject, it
  −
| continues in the predicate just the same.  Stating this in another form, to say that
  −
| "A is in the relation R to B" is to say that A is in a certain relation to R.  Let
  −
| us separate this out thus:  "A is in the relation R^1 (where R^1 is the relation
  −
| of a relate to the relation of which it is the relate) to R to B".  But A is
  −
| here said to be in a certain relation to the relation R^1.  So that we can
  −
| expresss the same fact by saying, "A is in the relation R^1 to the relation
  −
| R^1 to the relation R to B", and so on 'ad infinitum'.  A predicate which
  −
| can thus be analyzed into parts all homogeneous with the whole I call
  −
| a 'continuous predicate'.  It is very important in logical analysis,
  −
| because a continuous predicate obviously cannot be a 'compound'
  −
| except of continuous predicates, and thus when we have carried
  −
| analysis so far as to leave only a continuous predicate, we
  −
| have carried it to its ultimate elements.
  −
|
  −
| Peirce, "Letters to Lady Welby", 14 Dec 1908, 'Selected Writings', pp. 396-397.
  −
|
  −
| Charles S. Peirce, "Letters to Lady Welby", pp. 380-432 in:
  −
|'Charles S. Peirce:  Selected Writings (Values in a Universe
  −
| of Chance)', Edited with an Introduction and Notes by
  −
| Philip P. Wiener, Dover, New York, NY, 1966.
  −
</pre>
     −
===HAPA. Note 2===
+
01. 1880, CP 4.12
 +
02.  1880, CP 4.13
 +
03.  1880, CP 4.14
   −
<pre>
+
041896, CP 3.440
| Another characteristic of mathematical thought is the extraordinary
+
051896, CP 3.441
| use it makes of abstractionsAbstractions have been a favorite
+
06.  1896, CP 3.442
| butt of ridicule in modern timesNow it is very easy to laugh
+
071896, CP 3.443
| at the old physician who is represented as answering the question,
+
081896, CP 3.444-445
| why opium puts people to sleep, by saying that it is because it
+
09.  1885, CP 3.374
| has a dormative virtueIt is an answer that no doubt carries
+
 
| vagueness to its last extremeYet, invented as the story was
+
101902, CP 2.323
| to show how little meaning there might be in an abstraction,
+
111895, CP 2.356
| nevertheless the physician's answer does contain a truth
+
 
| that modern philosophy has generally denied:  it does
+
12. 1903, CP 4.517
| assert that there really is in opium 'something' which
  −
| explains its always putting people to sleepThis has,
  −
| I say, been denied by modern philosophers generally.
  −
| Not, of course, explicitly; but when they say that
  −
| the different events of people going to sleep after
  −
| taking opium have really nothing in common, but
  −
| only that the mind classes them together -- and
  −
| this is what they virtually do say in denying
  −
| the reality of generals -- they do implicitly
  −
| deny that there is any true explanation of
  −
| opium's generally putting people to sleep.
  −
|
  −
| C.S. Peirce, CP 4.234, "The Simplest Mathematics",
  −
| Chapter 3 of the "Minute Logic", Jan-Feb 1902.
  −
</pre>
     −
===HAPA. Note 3===
+
13. 1903, CP 3.606-608
 +
14.  1897, CP 3.526
 +
15.  1897, CP 3.527
 +
16.  1897, CP 3.527
 +
17.  ????, CP 2.361
 +
18.  1908, CP 3.527 note
 +
19.  1867, 1.559
 +
20.
   −
<pre>
+
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o
| Look through the modern logical treatises, and you will find that they
+
 
| almost all fall into one or other of two errors, as I hold them to be;
+
1.559      x
| that of setting aside the doctrine of abstraction (in the sense in
  −
| which an abstract noun marks an abstraction) as a grammatical topic
  −
| with which the logician need not particularly concern himself;  and
  −
| that of confounding abstraction, in this sense, with that operation
  −
| of the mind by which we pay attention to one feature of a percept to
  −
| the disregard of others.  The two things are entirely disconnected.
  −
|
  −
| The most ordinary fact of perception, such as "it is light", involves
  −
| 'precisive' abstraction, or 'prescission'. But 'hypostatic' abstraction,
  −
| the abstraction which transforms "it is light" into "there is light here",
  −
| which is the sense which I shall commonly attach to the word abstraction
  −
| (since 'prescission' will do for precisive abstraction) is a very special
  −
| mode of thought.  It consists in taking a feature of a percept or percepts
  −
| (after it has already been prescinded from the other elements of the percept),
  −
| so as to take propositional form in a judgment (indeed, it may operate upon
  −
| any judgment whatsoever), and in conceiving this fact to consist in the
  −
| relation between the subject of that judgment and another subject, which
  −
| has a mode of being that merely consists in the truth of propositions of
  −
| which the corresponding concrete term is the predicate.
  −
|
  −
| Thus, we transform the proposition, "honey is sweet",
  −
| into "honey possesses sweetness".  "Sweetness" might be
  −
| called a fictitious thing, in one sense.  But since the
  −
| mode of being attributed to it 'consists' in no more than
  −
| the fact that some things are sweet, and it is not pretended,
  −
| or imagined, that it has any other mode of being, there is,
  −
| after all, no fiction.  The only profession made is that we
  −
| consider the fact of honey being sweet under the form of a
  −
| relation;  and so we really can.  I have selected sweetness
  −
| as an instance of one of the least useful of abstractions.
  −
| Yet even this is convenient.  It facilitates such thoughts
  −
| as that the sweetness of honey is particularly cloying;
  −
| that the sweetness of honey is something like the
  −
| sweetness of a honeymoon;  etc.
  −
|
  −
| C.S. Peirce, CP 4.235, "The Simplest Mathematics",
  −
| Chapter 3 of the "Minute Logic", Jan-Feb 1902.
  −
</pre>
     −
===HAPA. Note 4===
+
2.323      x
 +
2.347-349
 +
2.356      x
 +
2.361      x
 +
2.382
 +
2.394
 +
2.407-409
 +
2.418
 +
2.546
   −
<pre>
+
2.
| Abstractions are particularly congenial to mathematics.  Everyday life
+
323
| first, for example, found the need of that class of abstractions which
+
348
| we call 'collections'.  Instead of saying that some human beings are
+
349
| males and all the rest females, it was found convenient to say that
+
546
| 'mankind' consists of the male 'part' and the female 'part'.  The
  −
| same thought makes classes of collections, such as pairs, leashes,
  −
| quatrains, hands, weeks, dozens, baker's dozens, sonnets, scores,
  −
| quires, hundreds, long hundreds, gross, reams, thousands, myriads,
  −
| lacs, millions, milliards, milliasses, etc.  These have suggested
  −
| a great branch of mathematics.*
  −
|
  −
| Again, a point moves:  it is by abstraction that the geometer says that
  −
| it "describes a line".  This line, though an abstraction, itself moves;
  −
| and this is regarded as generating a surface;  and so on.
  −
|
  −
| So likewise, when the analyst treats operations as themselves subjects of
  −
| operations, a method whose utility will not be denied, this is another
  −
| instance of abstraction.  Maxwell's notion of a tension exercised upon
  −
| lines of electrical force, transverse to them, is somewhat similar.
  −
|
  −
| These examples exhibit the great rolling billows of abstraction in the ocean
  −
| of mathematical thought;  but when we come to a minute examination of it,
  −
| we shall find, in every department, incessant ripples of the same form
  −
| of thought, of which the examples I have mentioned give no hint.
  −
|
  −
|* Of course, the moment a collection is recognized as an abstraction we have
  −
|  to admit that even a percept is an abstraction or represents an abstraction,
  −
|  if matter has parts. It therefore becomes difficult to maintain that all
  −
|  abstractions are fictions.
  −
|
  −
| C.S. Peirce, CP 4.235, "The Simplest Mathematics",
  −
| Chapter 3 of the "Minute Logic", Jan-Feb 1902.
  −
</pre>
     −
===HAPA. Note 5===
+
2.
 +
231
 +
250
 +
260
 +
293
 +
364
 +
409
 +
416
 +
418
 +
418n
   −
<pre>
+
3.374      x
| Hypostasis. Literally the Greek word signifies that which stands under
+
3.375
| and serves as a support. In philosophy it means a singular substance,
+
3.382
| also called a supposite, 'suppositum', by the Scholastics, especially
+
3.384      Peirce's Law
| if the substance is a completely subsisting one, whether non-living
+
3.440-445 x
| or living, irrational or rational. However, a rational hypostasis
+
3.446-448
| has the same meaning as the term, 'person'.
+
3.526-527  x
|
+
3.606-608  x
| J.J.R. [= J.J. Rolbiecki] in:
  −
|
  −
| Dagobert D. Runes (ed.), 'Dictionary of Philosophy',
  −
| Littlefield, Adams, & Company, Totowa, NJ, 1972.
  −
</pre>
     −
===HAPA. Note 6===
+
4.12-14    x
 +
4.21
 +
4.49
 +
4.372-376
 +
4.401
 +
4.454
 +
4.514-523
 +
4.517      x
 +
4.520
 +
4.564
 +
 
 +
6.450
   −
<pre>
  −
| But the highest kind of synthesis is what the mind is compelled to make neither
  −
| by the inward attractions of the feelings or representations themselves, nor by
  −
| a transcendental force of necessity, but in the interest of intelligibility,
  −
| that is, in the interest of the synthesizing "I think" itself;  and this
  −
| it does by introducing an idea not contained in the data, which gives
  −
| connections which they would not otherwise have had.  This kind of
  −
| synthesis has not been sufficiently studied, and especially the
  −
| intimate relationship of its different varieties has not been
  −
| duly considered.  The work of the poet or novelist is not so
  −
| utterly different from that of the scientific man.  The artist
  −
| introduces a fiction;  but it is not an arbitrary one;  it exhibits
  −
| affinities to which the mind accords a certain approval in pronouncing
  −
| them beautiful, which if it is not exactly the same as saying that the
  −
| synthesis is true, is something of the same general kind.  The geometer
  −
| draws a diagram, which if not exactly a fiction, is at least a creation,
  −
| and by means of observation of that diagram he is able to synthesize and
  −
| show relations between elements which before seemed to have no necessary
  −
| connection.  The realities compel us to put some things into very close
  −
| relation and others less so, in a highly complicated, and in the [true?]
  −
| sense itself unintelligible manner;  but it is the genius of the mind,
  −
| that takes up all these hints of sense, adds immensely to them, makes
  −
| them precise, and shows them in intelligible form in the intuitions
  −
| of space and time.  Intuition is the regarding of the abstract in
  −
| a concrete form, by the realistic hypostatization of relations;
  −
| that is the one sole method of valuable thought.  Very shallow
  −
| is the prevalent notion that this is something to be avoided.
  −
| You might as well say at once that reasoning is to be avoided
  −
| because it has led to so much error;  quite in the same philistine
  −
| line of thought would that be;  and so well in accord with the spirit
  −
| of nominalism that I wonder some one does not put it forward.  The true
  −
| precept is not to abstain from hypostatization, but to do it intelligently ...
  −
|
  −
| C.S. Peirce, CP 1.383, "A Guess at the Riddle",
  −
| circa 1890, 'Collected Papers', CP 1.354-416.
   
</pre>
 
</pre>
   −
===HAPA. Note 7===
+
==HAPA. Hypostatic And Prescisive Abstraction==
 +
 
 +
===HAPA. Note 1===
    
<pre>
 
<pre>
| Exceedingly important are the relatives signifying "-- is a quality of --"
+
| When we have analyzed a proposition so as to throw into the subject everything
| and "-- is a relation of -- to --". It may be said that mathematical
+
| that can be removed from the predicate, all that it remains for the predicate to
| reasoning (which is the only deductive reasoning, if not absolutely,
+
| represent is the form of connection between the different subjects as expressed in
| at least eminently) almost entirely turns on the consideration of
+
| the propositional 'form'.  What I mean by "everything that can be removed from the
| abstractions as if they were objectsThe protest of nominalism
+
| predicate" is best explained by giving an example of something not so removable.
| against such hypostatisation, although, if it knew how to formulate
+
| But first take something removable.  "Cain kills Abel."  Here the predicate
| itself, it would be justified as against much of the empty disputation
+
| appears as "--- kills ---." But we can remove killing from the predicate
| of the medieval Dunces, yet, as it was and is formulated, is simply a
+
| and make the latter "--- stands in the relation --- to ---.Suppose we
| protest against the only kind of thinking that has ever advanced human
+
| attempt to remove more from the predicate and put the last into the form
| cultureNobody will work long with the logic of relatives -- unless
+
| "--- exercises the function of relate of the relation --- to ---" and then
| he restricts the problems of his studies very much -- without seeing
+
| putting "the function of relate to the relation" into a another subject leave
| that this is true.
+
| as predicate "--- exercises --- in respect to --- to ---." But this "exercises"
 +
| expresses "exercises the function".  Nay more, it expresses "exercises the function
 +
| of relate", so that we find that though we may put this into a separate subject, it
 +
| continues in the predicate just the same.  Stating this in another form, to say that
 +
| "A is in the relation R to B" is to say that A is in a certain relation to R.  Let
 +
| us separate this out thus:  "A is in the relation R^1 (where R^1 is the relation
 +
| of a relate to the relation of which it is the relate) to R to B".  But A is
 +
| here said to be in a certain relation to the relation R^1.  So that we can
 +
| expresss the same fact by saying, "A is in the relation R^1 to the relation
 +
| R^1 to the relation R to B", and so on 'ad infinitum'A predicate which
 +
| can thus be analyzed into parts all homogeneous with the whole I call
 +
| a 'continuous predicate'.  It is very important in logical analysis,
 +
| because a continuous predicate obviously cannot be a 'compound'
 +
| except of continuous predicates, and thus when we have carried
 +
| analysis so far as to leave only a continuous predicate, we
 +
| have carried it to its ultimate elements.
 +
|
 +
| Peirce, "Letters to Lady Welby", 14 Dec 1908, 'Selected Writings', pp. 396-397.
 
|
 
|
| C.S. Peirce, CP 3.509, "The Logic of Relatives",
+
| Charles S. Peirce, "Letters to Lady Welby", pp. 380-432 in:
|'The Monist', vol. 7, pp. 161-217, 1897.
+
|'Charles S. Peirce:  Selected Writings (Values in a Universe
|'Collected Papers', CP 3.456-552.
+
| of Chance)', Edited with an Introduction and Notes by
 +
| Philip P. Wiener, Dover, New York, NY, 1966.
 
</pre>
 
</pre>
   −
===HAPA. Note 8===
+
===HAPA. Note 2===
    
<pre>
 
<pre>
| The logical term 'subjectal abstraction' here requires a
+
| Another characteristic of mathematical thought is the extraordinary
| word of explanation; for there are few treatises on logic
+
| use it makes of abstractions.  Abstractions have been a favorite
| which notice subjectal abstraction under any name, except so
+
| butt of ridicule in modern times. Now it is very easy to laugh
| far as to confuse it with precisive abstraction which is an
+
| at the old physician who is represented as answering the question,
| entirely different logical functionWhen we say that the
+
| why opium puts people to sleep, by saying that it is because it
| Columbia library building is 'large', this remark is a result
+
| has a dormative virtueIt is an answer that no doubt carries
| of precisive abstraction by which the man who makes the remark
+
| vagueness to its last extreme.  Yet, invented as the story was
| leaves out of account all the other features of his image of
+
| to show how little meaning there might be in an abstraction,
| the building, and takes the word "large" which is entirely
+
| nevertheless the physician's answer does contain a truth
| unlike that image -- and when I say the word is unlike the
+
| that modern philosophy has generally denied:  it does
| image, I mean that the general signification of the word is
+
| assert that there really is in opium 'something' which
| utterly disparate from the image, which involves no predicates
+
| explains its always putting people to sleep.  This has,
| at all. Such is 'precisive abstraction'.  But now if this man
+
| I say, been denied by modern philosophers generally.
| goes on to remark that the largeness of the building is very
+
| Not, of course, explicitly; but when they say that
| impressive, he converts the applicability of that predicate
+
| the different events of people going to sleep after
| from being a way of thinking about the building to being
+
| taking opium have really nothing in common, but
| itself a subject of thought, and that operation is
+
| only that the mind classes them together -- and
| 'subjectal abstraction'.
+
| this is what they virtually do say in denying
 +
| the reality of generals -- they do implicitly
 +
| deny that there is any true explanation of
 +
| opium's generally putting people to sleep.
 
|
 
|
| C.S. Peirce, CP 4.332, "Ordinals", circa 1905.
+
| C.S. Peirce, CP 4.234, "The Simplest Mathematics",
 +
| Chapter 3 of the "Minute Logic", Jan-Feb 1902.
 
</pre>
 
</pre>
   −
===HAPA. Note 9===
+
===HAPA. Note 3===
    
<pre>
 
<pre>
| Predicate.
+
| Look through the modern logical treatises, and you will find that they
 +
| almost all fall into one or other of two errors, as I hold them to be;
 +
| that of setting aside the doctrine of abstraction (in the sense in
 +
| which an abstract noun marks an abstraction) as a grammatical topic
 +
| with which the logician need not particularly concern himself;  and
 +
| that of confounding abstraction, in this sense, with that operation
 +
| of the mind by which we pay attention to one feature of a percept to
 +
| the disregard of others.  The two things are entirely disconnected.
 
|
 
|
| The view which pragmatic logic takes of the predicate, in consequence of
+
| The most ordinary fact of perception, such as "it is light", involves
| its assuming that the entire purpose of deductive logic is to ascertain
+
| 'precisive' abstraction, or 'prescission'.  But 'hypostatic' abstraction,
| the necessary conditions of the truth of signs, without any regard to
+
| the abstraction which transforms "it is light" into "there is light here",
| the accidents of Indo-European grammar, will be here briefly stated.
+
| which is the sense which I shall commonly attach to the word abstraction
| Cf. Negation [CP 2.378-380].
+
| (since 'prescission' will do for precisive abstraction) is a very special
 +
| mode of thought.  It consists in taking a feature of a percept or percepts
 +
| (after it has already been prescinded from the other elements of the percept),
 +
| so as to take propositional form in a judgment (indeed, it may operate upon
 +
| any judgment whatsoever), and in conceiving this fact to consist in the
 +
| relation between the subject of that judgment and another subject, which
 +
| has a mode of being that merely consists in the truth of propositions of
 +
| which the corresponding concrete term is the predicate.
 
|
 
|
| In any proposition, i.e., any statement which must be true or false,
+
| Thus, we transform the proposition, "honey is sweet",
| let some parts be struck out so that the remnant is not a proposition,
+
| into "honey possesses sweetness". "Sweetness" might be
| but is such that it becomes a proposition when each blank is filled by
+
| called a fictitious thing, in one sense.  But since the
| a proper name.  The erasures are not to be made in a mechanical way, but
+
| mode of being attributed to it 'consists' in no more than
| with such modifications as may be necessary to preserve the partial sense
+
| the fact that some things are sweet, and it is not pretended,
| of the fragment. Such a residue is a 'predicate'The same proposition
+
| or imagined, that it has any other mode of being, there is,
| may be mutilated in various ways so that different fragments will appear
+
| after all, no fiction.  The only profession made is that we
| as predicates.  Thus, take the proposition "Every man reveres some woman."
+
| consider the fact of honey being sweet under the form of a
| This contains the following predicates, among others:
+
| relation;  and so we really can.  I have selected sweetness
 +
| as an instance of one of the least useful of abstractions.
 +
| Yet even this is convenientIt facilitates such thoughts
 +
| as that the sweetness of honey is particularly cloying;
 +
| that the sweetness of honey is something like the
 +
| sweetness of a honeymoon;  etc.
 
|
 
|
|    ". . . reveres some woman."
+
| C.S. Peirce, CP 4.235, "The Simplest Mathematics",
|
+
| Chapter 3 of the "Minute Logic", Jan-Feb 1902.
|    ". . . is either not a man or reveres some woman."
  −
|
  −
|    "Any previously selected man reveres . . ."
  −
|
  −
|    "Any previously selected man is . . ."
  −
|
  −
| C.S. Peirce, 'Collected Papers', CP 2.358, in dictionary entry for "Predicate",
  −
| J.M. Baldwin (ed.), 'Dictionary of Philosophy & Psychology', vol. 2, pp. 325-326.
   
</pre>
 
</pre>
   −
===HAPA. Note 10===
+
===HAPA. Note 4===
    
<pre>
 
<pre>
| Relatives Of Second Intention
+
| Abstractions are particularly congenial to mathematics.  Everyday life
 +
| first, for example, found the need of that class of abstractions which
 +
| we call 'collections'.  Instead of saying that some human beings are
 +
| males and all the rest females, it was found convenient to say that
 +
| 'mankind' consists of the male 'part' and the female 'part'.  The
 +
| same thought makes classes of collections, such as pairs, leashes,
 +
| quatrains, hands, weeks, dozens, baker's dozens, sonnets, scores,
 +
| quires, hundreds, long hundreds, gross, reams, thousands, myriads,
 +
| lacs, millions, milliards, milliasses, etc.  These have suggested
 +
| a great branch of mathematics.*
 +
|
 +
| Again, a point moves:  it is by abstraction that the geometer says that
 +
| it "describes a line".  This line, though an abstraction, itself moves;
 +
| and this is regarded as generating a surface;  and so on.
 
|
 
|
| The general method of graphical representation of propositions has now
+
| So likewise, when the analyst treats operations as themselves subjects of
| been given in all its essential elements, except, of course, that we
+
| operations, a method whose utility will not be denied, this is another
| have not, as yet, studied any truths concerning special relatives;
+
| instance of abstraction.  Maxwell's notion of a tension exercised upon
| for to do so would seem, at first, to be "extralogical". Logic in
+
| lines of electrical force, transverse to them, is somewhat similar.
| this stage of its development may be called 'paradisaical logic',
+
|
| because it represents the state of Man's cognition before the
+
| These examples exhibit the great rolling billows of abstraction in the ocean
| Fall. For although, with this apparatus, it easy to write
+
| of mathematical thought; but when we come to a minute examination of it,
| propositions necessarily true, it is absolutely impossible
+
| we shall find, in every department, incessant ripples of the same form
| to write any which is necessarily false, or, in any way
+
| of thought, of which the examples I have mentioned give no hint.
| which that stage of logic affords, to find out that
  −
| anything is false.  The mind has not as yet eaten
  −
| of the fruit of the Tree of Knowledge of Truth
  −
| and Falsity.
   
|
 
|
| Probably it will not be doubted that every child in
+
|* Of course, the moment a collection is recognized as an abstraction we have
| its mental development necessarily passes through
+
| to admit that even a percept is an abstraction or represents an abstraction,
| a stage in which he has some ideas, but yet has
+
| if matter has parts.  It therefore becomes difficult to maintain that all
| never recognised that an idea may be erroneous;
+
abstractions are fictions.
| and a stage that every child necessarily passes
  −
| through must have been formerly passed through
  −
| by the race in its adult development.  It may
  −
| be doubted whether many of the lower animals
  −
| have any clear and steady conception of
  −
| falsehood; for their instincts work
  −
| so unerringly that there is little
  −
| to force it upon their attention.
  −
| Yet plainly without a knowledge
  −
| of falsehood no development
  −
| of discursive reason can
  −
| take place.
   
|
 
|
| C.S. Peirce, 'Collected Papers', CP 3.488,
+
| C.S. Peirce, CP 4.235, "The Simplest Mathematics",
|"The Logic of Relatives", 'Monist', vol. 7,
+
| Chapter 3 of the "Minute Logic", Jan-Feb 1902.
| pp. 161-217, 1897.
   
</pre>
 
</pre>
   −
===HAPA. Note 11===
+
===HAPA. Note 5===
    
<pre>
 
<pre>
| Relatives Of Second Intention (cont.)
+
| Hypostasis.  Literally the Greek word signifies that which stands under
 +
| and serves as a support.  In philosophy it means a singular substance,
 +
| also called a supposite, 'suppositum', by the Scholastics, especially
 +
| if the substance is a completely subsisting one, whether non-living
 +
| or living, irrational or rational.  However, a rational hypostasis
 +
| has the same meaning as the term, 'person'.
 
|
 
|
| This paradisaical logic appears in the study of non-relative formal logic.
+
| J.J.R. [= J.J. Rolbiecki] in:
| But 'there' no possible avenue appears by which the knowledge of falsehood
  −
| could be brought into this Garden of Eden except by the arbitrary and
  −
| inexplicable introduction of the Serpent in the guise of a proposition
  −
| necessarily false. The logic of relatives affords such an avenue,
  −
| and 'that', the very avenue by which in actual development,
  −
| this stage of logic supervenes. It is the avenue of
  −
| experience and logical reflexion.
   
|
 
|
| By 'logical' reflexion, I mean the observation of thoughts
+
| Dagobert D. Runes (ed.), 'Dictionary of Philosophy',
| in their expressionsAquinas remarked that this sort of
+
| Littlefield, Adams, & Company, Totowa, NJ, 1972.
| reflexion is requisite to furnish us with those ideas
+
</pre>
| which, from lack of contrast, ordinary external
+
 
| experience fails to bring into prominence.
+
===HAPA. Note 6===
| He called such ideas 'second intentions'.
+
 
 +
<pre>
 +
| But the highest kind of synthesis is what the mind is compelled to make neither
 +
| by the inward attractions of the feelings or representations themselves, nor by
 +
| a transcendental force of necessity, but in the interest of intelligibility,
 +
| that is, in the interest of the synthesizing "I think" itself;  and this
 +
| it does by introducing an idea not contained in the data, which gives
 +
| connections which they would not otherwise have had.  This kind of
 +
| synthesis has not been sufficiently studied, and especially the
 +
| intimate relationship of its different varieties has not been
 +
| duly consideredThe work of the poet or novelist is not so
 +
| utterly different from that of the scientific man.  The artist
 +
| introduces a fiction;  but it is not an arbitrary one;  it exhibits
 +
| affinities to which the mind accords a certain approval in pronouncing
 +
| them beautiful, which if it is not exactly the same as saying that the
 +
| synthesis is true, is something of the same general kind.  The geometer
 +
| draws a diagram, which if not exactly a fiction, is at least a creation,
 +
| and by means of observation of that diagram he is able to synthesize and
 +
| show relations between elements which before seemed to have no necessary
 +
| connection.  The realities compel us to put some things into very close
 +
| relation and others less so, in a highly complicated, and in the [true?]
 +
| sense itself unintelligible manner;  but it is the genius of the mind,
 +
| that takes up all these hints of sense, adds immensely to them, makes
 +
| them precise, and shows them in intelligible form in the intuitions
 +
| of space and time.  Intuition is the regarding of the abstract in
 +
| a concrete form, by the realistic hypostatization of relations;
 +
| that is the one sole method of valuable thought.  Very shallow
 +
| is the prevalent notion that this is something to be avoided.
 +
| You might as well say at once that reasoning is to be avoided
 +
| because it has led to so much error;  quite in the same philistine
 +
| line of thought would that be;  and so well in accord with the spirit
 +
| of nominalism that I wonder some one does not put it forward. The true
 +
| precept is not to abstain from hypostatization, but to do it intelligently ...
 
|
 
|
| It is by means of 'relatives of second intention'
+
| C.S. Peirce, CP 1.383, "A Guess at the Riddle",
| that the general method of logical representation
+
| circa 1890, 'Collected Papers', CP 1.354-416.
| is to find completion.
  −
|
  −
| C.S. Peirce, 'Collected Papers', CP 3.489-490,
  −
|"The Logic of Relatives", 'The Monist', vol. 7,
  −
| pp. 161-217, 1897.
   
</pre>
 
</pre>
   −
===HAPA. Note 12===
+
===HAPA. Note 7===
    
<pre>
 
<pre>
| One branch of deductive logic, of which from the nature of
+
| Exceedingly important are the relatives signifying "-- is a quality of --"
| things ordinary logic could give no satisfactory account,
+
| and "-- is a relation of -- to --".  It may be said that mathematical
| relates to the vitally important matter of abstraction.
+
| reasoning (which is the only deductive reasoning, if not absolutely,
|
+
| at least eminently) almost entirely turns on the consideration of
| Indeed, the student of ordinary logic naturally regards abstraction,
+
| abstractions as if they were objects. The protest of nominalism
| or the passage from "the rose smells sweet" to "the rose has perfume",
+
| against such hypostatisation, although, if it knew how to formulate
| to be a quasi-grammatical matter, calling for little or no notice from
+
| itself, it would be justified as against much of the empty disputation
| the logician.  The fact is, however, that almost every great step in
+
| of the medieval Dunces, yet, as it was and is formulated, is simply a
| mathematical reasoning derives its importance from the fact that it
+
| protest against the only kind of thinking that has ever advanced human
| involves an abstraction.
+
| culture.  Nobody will work long with the logic of relatives -- unless
 +
| he restricts the problems of his studies very much -- without seeing
 +
| that this is true.
 
|
 
|
| For by means of abstraction, the transitory elements of thought,
+
| C.S. Peirce, CP 3.509, "The Logic of Relatives",
| the 'epea pteroenta' [winged words], are made substantive elements,
+
|'The Monist', vol. 7, pp. 161-217, 1897.
| as James terms them, 'epea apteroenta' [plucked words].*  It thus
+
|'Collected Papers', CP 3.456-552.
| becomes possible to study their relations and to apply to these
+
</pre>
| relations discoveries already made respecting analogous relations.
  −
| In this way, for example, operations become themselves the subjects
  −
| of operations.
  −
|
  −
|* William James, 'Principles of Psychology', vol. 1, p. 243.
  −
|
  −
| C.S. Peirce, 'Collected Papers', CP 3.642, in dictionary entry for "Relatives",
  −
| J.M. Baldwin (ed.), 'Dictionary of Philosophy & Psychology', vol. 2, pp. 447-450.
     −
Incidental Musement:
+
===HAPA. Note 8===
   −
http://www.perseus.tufts.edu/cgi-bin/ptext?lookup=Hom.+Il.+1.172
+
<pre>
 +
| The logical term 'subjectal abstraction' here requires a
 +
| word of explanation;  for there are few treatises on logic
 +
| which notice subjectal abstraction under any name, except so
 +
| far as to confuse it with precisive abstraction which is an
 +
| entirely different logical function. When we say that the
 +
| Columbia library building is 'large', this remark is a result
 +
| of precisive abstraction by which the man who makes the remark
 +
| leaves out of account all the other features of his image of
 +
| the building, and takes the word "large" which is entirely
 +
| unlike that image -- and when I say the word is unlike the
 +
| image, I mean that the general signification of the word is
 +
| utterly disparate from the image, which involves no predicates
 +
| at all. Such is 'precisive abstraction'. But now if this man
 +
| goes on to remark that the largeness of the building is very
 +
| impressive, he converts the applicability of that predicate
 +
| from being a way of thinking about the building to being
 +
| itself a subject of thought, and that operation is
 +
| 'subjectal abstraction'.
 +
|
 +
| C.S. Peirce, CP 4.332, "Ordinals", circa 1905.
 
</pre>
 
</pre>
   −
==HAPA. Hypostatic And Prescisive Abstraction &bull; Discussion==
+
===HAPA. Note 9===
   −
===HAPA. Discussion Note 1===
+
<pre>
 +
| Predicate.
 +
|
 +
| The view which pragmatic logic takes of the predicate, in consequence of
 +
| its assuming that the entire purpose of deductive logic is to ascertain
 +
| the necessary conditions of the truth of signs, without any regard to
 +
| the accidents of Indo-European grammar, will be here briefly stated.
 +
| Cf. Negation [CP 2.378-380].
 +
|
 +
| In any proposition, i.e., any statement which must be true or false,
 +
| let some parts be struck out so that the remnant is not a proposition,
 +
| but is such that it becomes a proposition when each blank is filled by
 +
| a proper name.  The erasures are not to be made in a mechanical way, but
 +
| with such modifications as may be necessary to preserve the partial sense
 +
| of the fragment.  Such a residue is a 'predicate'.  The same proposition
 +
| may be mutilated in various ways so that different fragments will appear
 +
| as predicates.  Thus, take the proposition "Every man reveres some woman."
 +
| This contains the following predicates, among others:
 +
|
 +
|    ". . . reveres some woman."
 +
|
 +
|    ". . . is either not a man or reveres some woman."
 +
|
 +
|    "Any previously selected man reveres . . ."
 +
|
 +
|    "Any previously selected man is . . ."
 +
|
 +
| C.S. Peirce, 'Collected Papers', CP 2.358, in dictionary entry for "Predicate",
 +
| J.M. Baldwin (ed.), 'Dictionary of Philosophy & Psychology', vol. 2, pp. 325-326.
 +
</pre>
 +
 
 +
===HAPA. Note 10===
    
<pre>
 
<pre>
Referring to a few of Peirce's standard discussions
+
| Relatives Of Second Intention
of "hypostatic abstraction" (HA), the main thing
+
|
about HA is that it turns an adjective or some
+
| The general method of graphical representation of propositions has now
part of a predicate into an extra subject,
+
| been given in all its essential elements, except, of course, that we
upping the arity of the main predicate
+
| have not, as yet, studied any truths concerning special relatives;
in the process.
+
| for to do so would seem, at first, to be "extralogical".  Logic in
 
+
| this stage of its development may be called 'paradisaical logic',
For example, a typical case of HA occurs in the transformation
+
| because it represents the state of Man's cognition before the
from "honey is sweet" to "honey possesses sweetness", which we
+
| Fall. For although, with this apparatus, it easy to write
could choose to represent in several different ways as follows:
+
| propositions necessarily true, it is absolutely impossible
 
+
| to write any which is necessarily false, or, in any way
Sweet(honey) ~~~> Possesses(honey, sweetness)
+
| which that stage of logic affords, to find out that
 
+
| anything is false.  The mind has not as yet eaten
S(h) ~~~> P(h, s)
+
| of the fruit of the Tree of Knowledge of Truth
 
+
| and Falsity.
S          P
+
|
o          o
+
| Probably it will not be doubted that every child in
|   ~~~>  |
+
| its mental development necessarily passes through
  o          o
+
| a stage in which he has some ideas, but yet has
h        <h,s>
+
| never recognised that an idea may be erroneous;
 
+
| and a stage that every child necessarily passes
            ^
+
| through must have been formerly passed through
[S]  ~~~>  /P\
+
| by the race in its adult development. It may
|       o->-o
+
| be doubted whether many of the lower animals
|       |   |  
+
| have any clear and steady conception of
o        o  o
+
| falsehood;  for their instincts work
h        h  s
+
| so unerringly that there is little
 
+
| to force it upon their attention.
The chief thing about this form of grammatical transformation is that we
+
| Yet plainly without a knowledge
abstract the adjective "sweet" from the main predicate, thus arriving at
+
| of falsehood no development
a new, increased-arity predicate "possesses", and as a by-product of the
+
| of discursive reason can
reaction, as it were, precipitating out the substantive "sweetness" as a
+
| take place.
new subject of the new predicate.
+
|
 +
| C.S. Peirce, 'Collected Papers', CP 3.488,
 +
|"The Logic of Relatives", 'Monist', vol. 7,
 +
| pp. 161-217, 1897.
 
</pre>
 
</pre>
   −
===HAPA. Discussion Note 2===
+
===HAPA. Note 11===
    
<pre>
 
<pre>
Abstractions And Their Deciduation Problems
+
| Relatives Of Second Intention (cont.)
 
+
|
I have studied mathematics one way or another most of my life,
+
| This paradisaical logic appears in the study of non-relative formal logic.
and mathematics is nothing if not the study of abstract objects,
+
| But 'there' no possible avenue appears by which the knowledge of falsehood
yet I do not believe that I am ready to venture my own definition
+
| could be brought into this Garden of Eden except by the arbitrary and
of "abstract object", not just yet, and I honestly do not know if
+
| inexplicable introduction of the Serpent in the guise of a proposition
I ever will be, but what I have been attempting intermittently to
+
| necessarily false.  The logic of relatives affords such an avenue,
do all this while is to transmit the sort of information that the
+
| and 'that', the very avenue by which in actual development,
typical backwoodsman in the wild wold of logic and mathematics
+
| this stage of logic supervenesIt is the avenue of
might regard as being analogous to a botanical key, useful in
+
| experience and logical reflexion.
recognizing various species of abstract objects, with which
+
|
I can genuinely say that I have some acquaintance, although
+
| By 'logical' reflexion, I mean the observation of thoughts
I would prefer to defer, in my reference, in my reverence,
+
| in their expressionsAquinas remarked that this sort of
to ones who I know know vastly moreSo forgive a quote:
+
| reflexion is requisite to furnish us with those ideas
 
+
| which, from lack of contrast, ordinary external
| To most otherwise "forest-minded" folk, the approach of autumn
+
| experience fails to bring into prominence.
| with its showers of many-colored leaves, spells the end of the
+
| He called such ideas 'second intentions'.
| season's activities in the indentification [sic] of deciduous
+
|
| trees and shrubsWithout leaves, the members of the forest
+
| It is by means of 'relatives of second intention'
| community, unless they be relatively large, seem to lose
+
| that the general method of logical representation
| much of their summer's identity and may even descend to
+
| is to find completion.
| the level of "brush". This is in reality not the case,
  −
| as may be easily discovered by examining any leafless
  −
| twig with a 10-x pocket lens, or even with the naked
  −
| eye.  A casual glance at Plate 1 will also serve to
  −
| show that woody plants in winter are anything but
  −
| featureless.
   
|
 
|
| Harlow, William M.,
+
| C.S. Peirce, 'Collected Papers', CP 3.489-490,
|"Twig Key to the Deciduous Woody Plants of Eastern North America",
+
|"The Logic of Relatives", 'The Monist', vol. 7,
| 4th ed., reprinted in 'Fruit Key and Twig Key to Trees and Shrubs',
+
| pp. 161-217, 1897.
| Dover, New York, NY, 1959.  Originally published by the author 1954.
   
</pre>
 
</pre>
   −
===HAPA. Discussion Note 3===
+
===HAPA. Note 12===
    
<pre>
 
<pre>
I think that it would be useful at this time to run back through
+
| One branch of deductive logic, of which from the nature of
one of Peirce's best descriptions of the two kinds of abstraction,
+
| things ordinary logic could give no satisfactory account,
and try to tackle it line by line.
+
| relates to the vitally important matter of abstraction.
 
+
|
The first and simpler type of abstraction is "prescisive abstraction" --
+
| Indeed, the student of ordinary logic naturally regards abstraction,
where here I have taken something like the running average of several
+
| or the passage from "the rose smells sweet" to "the rose has perfume",
different spellings of the term -- that merely extracts or selectively
+
| to be a quasi-grammatical matter, calling for little or no notice from
attends to a feature or a property of a more concrete objectIn this
+
| the logician.  The fact is, however, that almost every great step in
case one passes from an object to one of its properties, very analogous
+
| mathematical reasoning derives its importance from the fact that it
to the sort of mathematical operation that is usually called "projection".
+
| involves an abstraction.
Here, one speaks of "prescinding" the property in question from the object,
+
|
whereby prescisive abstraction acquires the equivalent name of "prescission".
+
| For by means of abstraction, the transitory elements of thought,
 +
| the 'epea pteroenta' [winged words], are made substantive elements,
 +
| as James terms them, 'epea apteroenta' [plucked words].* It thus
 +
| becomes possible to study their relations and to apply to these
 +
| relations discoveries already made respecting analogous relations.
 +
| In this way, for example, operations become themselves the subjects
 +
| of operations.
 +
|
 +
|* William James, 'Principles of Psychology', vol. 1, p. 243.
 +
|
 +
| C.S. Peirce, 'Collected Papers', CP 3.642, in dictionary entry for "Relatives",
 +
| J.M. Baldwin (ed.), 'Dictionary of Philosophy & Psychology', vol. 2, pp. 447-450.
   −
The second, more substantial type of abstraction is "hypostatic abstraction".
+
Incidental Musement:
This is the operation that we regard as bringing the abstract object proper
  −
into being, or into the sphere of human thought, or at least into the frame
  −
of a particular discussion.  In this case one passes from a concrete object
  −
or situation, via a selection of properties, to end with an abstract object.
     −
| Look through the modern logical treatises, and you will find that they
+
http://www.perseus.tufts.edu/cgi-bin/ptext?lookup=Hom.+Il.+1.172
| almost all fall into one or other of two errors, as I hold them to be;
+
</pre>
| that of setting aside the doctrine of abstraction (in the sense in
  −
| which an abstract noun marks an abstraction) as a grammatical topic
  −
| with which the logician need not particularly concern himself;  and
  −
| that of confounding abstraction, in this sense, with that operation
  −
| of the mind by which we pay attention to one feature of a percept to
  −
| the disregard of others. The two things are entirely disconnected.
     −
Here Peirce gives a first description of the two types of abstraction
+
==HAPA. Hypostatic And Prescisive Abstraction &bull; Discussion==
and emphasizes the importance of distinguishing them one from another.
     −
| The most ordinary fact of perception, such as "it is light",
+
===HAPA. Discussion Note 1===
| involves 'precisive' abstraction, or 'prescission'.
     −
In other words, all attention is selective to some degree,
+
<pre>
so any perception, such as that which we typically express
+
Referring to a few of Peirce's standard discussions
by means of the sentence "It is light" involves prescission,
+
of "hypostatic abstraction" (HA), the main thing
a trimming of the whole experience to crop an observed fact.
+
about HA is that it turns an adjective or some
 +
part of a predicate into an extra subject,
 +
upping the arity of the main predicate
 +
in the process.
   −
| But 'hypostatic' abstraction, the abstraction which transforms
+
For example, a typical case of HA occurs in the transformation
| "it is light" into "there is light here", which is the sense
+
from "honey is sweet" to "honey possesses sweetness", which we
| which I shall commonly attach to the word abstraction (since
+
could choose to represent in several different ways as follows:
| 'prescission' will do for precisive abstraction) is a very
  −
| special mode of thought.
     −
In the transformation from "It is light" to "There is light here",
+
Sweet(honey) ~~~> Possesses(honey, sweetness)
the spelling "light" is transformed from an adjective into a noun.
  −
This is the typical grammatical clue that an underlying operation
  −
of "hypostatic" or "subjectal" abstraction has been accomplished.
     −
| It consists in taking a feature of a percept or percepts (after it has
+
S(h) ~~~> P(h, s)
| already been prescinded from the other elements of the percept), so as
  −
| to take propositional form in a judgment (indeed, it may operate upon
  −
| any judgment whatsoever), and in conceiving this fact to consist in the
  −
| relation between the subject of that judgment and another subject, which
  −
| has a mode of being that merely consists in the truth of propositions of
  −
| which the corresponding concrete term is the predicate.
     −
This is very significant. It marks not just a grammatical
+
  S          P
transformation that happens to be taking place in a given
+
o          o
example of hypostatic abstraction, but describes the very
+
|  ~~~>  |
form of a certain transformation that took place all along
+
o          o
the frontiers of thought in the formal sciences beginning
+
h        <h,s>
toward the middle of the Nineteenth Century, a development
  −
in which C.S. Peirce was a major force and prime expositor.
     −
But I'll need to save the rest of that story for tomorrow.
+
            ^
 +
[S]  ~~~>  /P\
 +
|        o->-o
 +
|        |  | 
 +
o        o  o
 +
h        h  s
   −
Reference:
+
The chief thing about this form of grammatical transformation is that we
 
+
abstract the adjective "sweet" from the main predicate, thus arriving at
| C.S. Peirce, CP 4.235, "The Simplest Mathematics",
+
a new, increased-arity predicate "possesses", and as a by-product of the
| Chapter 3 of the "Minute Logic", Jan-Feb 1902.
+
reaction, as it were, precipitating out the substantive "sweetness" as a
|
+
new subject of the new predicate.
| http://suo.ieee.org/ontology/msg05091.html
   
</pre>
 
</pre>
   −
===HAPA. Discussion Note 4===
+
===HAPA. Discussion Note 2===
    
<pre>
 
<pre>
By way of starting to compile a "key to abstractions and relatives"
+
Abstractions And Their Deciduation Problems
in the spirit of an old-fashioned field study key, I have gone back
  −
through our neck of the woulds and gathered these initial specimens:
     −
1.  HIROTUFIA.  Handy Indexical Rules Of Thumb Used For Identifying Abstractions
+
I have studied mathematics one way or another most of my life,
 
+
and mathematics is nothing if not the study of abstract objects,
1.1.  One of the features that points to an abstract object or
+
yet I do not believe that I am ready to venture my own definition
      a hypostatic abstraction is its being known by description,
+
of "abstract object", not just yet, and I honestly do not know if
      in other words, by the predicates that are attributed to it
+
I ever will be, but what I have been attempting intermittently to
      in remote reports of some variety, or in the various stories
+
do all this while is to transmit the sort of information that the
      and theories that are spun about it, instead of being known
+
typical backwoodsman in the wild wold of logic and mathematics
      more concretely and directly by acquaintance.  That is one
+
might regard as being analogous to a botanical key, useful in
      of the marks of all of the things that I mentioned before:
+
recognizing various species of abstract objects, with which
      dormitive virtues, egos, numbers, quarks, sweetness, the
+
I can genuinely say that I have some acquaintance, although
      Starship Enterprise, and last not not least, unicorns.
+
I would prefer to defer, in my reference, in my reverence,
 +
to ones who I know know vastly more. So forgive a quote:
   −
1.2.  CSP on HA:  "It consists in taking a feature of a percept
+
| To most otherwise "forest-minded" folk, the approach of autumn
      or percepts (after it has already been prescinded from the
+
| with its showers of many-colored leaves, spells the end of the
      other elements of the percept), so as to take propositional
+
| season's activities in the indentification [sic] of deciduous
      form in a judgment (indeed, it may operate upon any judgment
+
| trees and shrubs.  Without leaves, the members of the forest
      whatsoever), and in conceiving this fact to consist in the
+
| community, unless they be relatively large, seem to lose
      relation between the subject of that judgment and another
+
| much of their summer's identity and may even descend to
      subject, which has a mode of being that merely consists
+
| the level of "brush".  This is in reality not the case,
      in the truth of propositions of which the corresponding
+
| as may be easily discovered by examining any leafless
      concrete term is the predicate."
+
| twig with a 10-x pocket lens, or even with the naked
 +
| eye.  A casual glance at Plate 1 will also serve to
 +
| show that woody plants in winter are anything but
 +
| featureless.
 +
|
 +
| Harlow, William M.,
 +
|"Twig Key to the Deciduous Woody Plants of Eastern North America",
 +
| 4th ed., reprinted in 'Fruit Key and Twig Key to Trees and Shrubs',
 +
| Dover, New York, NY, 1959.  Originally published by the author 1954.
 +
</pre>
   −
2. HIROTUFIR.  Handy Indexical Rules Of Thumb Used For Identifying Relatives
+
===HAPA. Discussion Note 3===
   −
2.1.  A practical test of whether a property of a thing
+
<pre>
      is a relative property of a thing is that one needs
+
I think that it would be useful at this time to run back through
      additional information, beyond that which identifies
+
one of Peirce's best descriptions of the two kinds of abstraction,
      the thing, in order to make a decision about whether
+
and try to tackle it line by line.
      the thing in question has the property in question.
     −
2.2Let me just throw out this thought:  Words and phrases like
+
The first and simpler type of abstraction is "prescisive abstraction" --
      "ego", "number", "quark", "unicorn", "Starship Enterprise",
+
where here I have taken something like the running average of several
      along with all of the rest of the words and phrases that
+
different spellings of the term -- that merely extracts or selectively
      we use, have no meaning at all outside of some community,
+
attends to a feature or a property of a more concrete objectIn this
      context, or framework of interpretation, so all of their
+
case one passes from an object to one of its properties, very analogous
      meanings and all of their specifications on any semantic
+
to the sort of mathematical operation that is usually called "projection".
      or semiotic feature, like "abstract" or "concrete", are
+
Here, one speaks of "prescinding" the property in question from the object,
      relative to the given community, context, or framework
+
whereby prescisive abstraction acquires the equivalent name of "prescission".
      of interpretation that gives them those meanings and
+
 
      those specifications.
+
The second, more substantial type of abstraction is "hypostatic abstraction".
</pre>
+
This is the operation that we regard as bringing the abstract object proper
 +
into being, or into the sphere of human thought, or at least into the frame
 +
of a particular discussion.  In this case one passes from a concrete object
 +
or situation, via a selection of properties, to end with an abstract object.
   −
===HAPA. Discussion Note 5===
+
| Look through the modern logical treatises, and you will find that they
 +
| almost all fall into one or other of two errors, as I hold them to be;
 +
| that of setting aside the doctrine of abstraction (in the sense in
 +
| which an abstract noun marks an abstraction) as a grammatical topic
 +
| with which the logician need not particularly concern himself;  and
 +
| that of confounding abstraction, in this sense, with that operation
 +
| of the mind by which we pay attention to one feature of a percept to
 +
| the disregard of others.  The two things are entirely disconnected.
   −
<pre>
+
Here Peirce gives a first description of the two types of abstraction
BM = Bernard Morand
+
and emphasizes the importance of distinguishing them one from another.
   −
| CSP on HA:  "It consists in taking a feature of a percept
+
| The most ordinary fact of perception, such as "it is light",
| or percepts (after it has already been prescinded from the
+
| involves 'precisive' abstraction, or 'prescission'.
| other elements of the percept), so as to take propositional
  −
| form in a judgment (indeed, it may operate upon any judgment
  −
| whatsoever), and in conceiving this fact to consist in the
  −
| relation between the subject of that judgment and another
  −
| subject, which has a mode of being that merely consists
  −
| in the truth of propositions of which the corresponding
  −
| concrete term is the predicate."
     −
BM: Could you give the source of this passage?
+
In other words, all attention is selective to some degree,
 +
so any perception, such as that which we typically express
 +
by means of the sentence "It is light" involves prescission,
 +
a trimming of the whole experience to crop an observed fact.
   −
This came up in the context of several different threads on the SUO and
+
| But 'hypostatic' abstraction, the abstraction which transforms
Ontology Lists that involved different people's ideas about abstraction:
+
| "it is light" into "there is light here", which is the sense
Cathy Legg mentioned HA a la Cyc and/or Davidson that piqued my interest,
+
| which I shall commonly attach to the word abstraction (since
but I am still waiting for clarification of its relation to Peirce's HA;
+
| 'prescission' will do for precisive abstraction) is a very
Matthew West has a distinction between the categories of <abstract_object>
+
| special mode of thought.
and <possible_individual> in his Lifecycle Integration Schema, a datamodel
  −
and/or ontology that is currently being considered by the SUO working group;
  −
John Sowa dreams of a divine apportionment of every thing between the domain
  −
of Physical Earth and the realm of Abstract Heaven in his Philosophy, Horatio.
     −
Here is the stem cell of the LIS filiation:
+
In the transformation from "It is light" to "There is light here",
 +
the spelling "light" is transformed from an adjective into a noun.
 +
This is the typical grammatical clue that an underlying operation
 +
of "hypostatic" or "subjectal" abstraction has been accomplished.
   −
LIS. Lifecycle Integration Schema -- Matthew West
+
| It consists in taking a feature of a percept or percepts (after it has
 +
| already been prescinded from the other elements of the percept), so as
 +
| to take propositional form in a judgment (indeed, it may operate upon
 +
| any judgment whatsoever), and in conceiving this fact to consist in the
 +
| relation between the subject of that judgment and another subject, which
 +
| has a mode of being that merely consists in the truth of propositions of
 +
| which the corresponding concrete term is the predicate.
   −
01http://suo.ieee.org/email/msg10712.html
+
This is very significantIt marks not just a grammatical
 +
transformation that happens to be taking place in a given
 +
example of hypostatic abstraction, but describes the very
 +
form of a certain transformation that took place all along
 +
the frontiers of thought in the formal sciences beginning
 +
toward the middle of the Nineteenth Century, a development
 +
in which C.S. Peirce was a major force and prime expositor.
   −
Here are the links to the source materials
+
But I'll need to save the rest of that story for tomorrow.
and discussion notes that have accumulated
  −
up to this point on HA and PA:
     −
HAPA.  Hypostatic And Prescisive Abstraction
+
Reference:
   −
01. http://suo.ieee.org/ontology/msg05089.html -- Cain and Abel
+
| C.S. Peirce, CP 4.235, "The Simplest Mathematics",
02.  http://suo.ieee.org/ontology/msg05090.html -- Dormative Virtue
+
| Chapter 3 of the "Minute Logic", Jan-Feb 1902.
03. http://suo.ieee.org/ontology/msg05091.html -- Honey is Sweet
+
|
04.  http://suo.ieee.org/ontology/msg05093.html -- Math Abstraction
+
| http://suo.ieee.org/ontology/msg05091.html
05.  http://suo.ieee.org/ontology/msg05100.html -- Reading Runes
+
</pre>
06.  http://suo.ieee.org/ontology/msg05101.html -- Hypostatization
  −
07.  http://suo.ieee.org/ontology/msg05105.html -- Abstract Objects
  −
08.  http://suo.ieee.org/ontology/msg05108.html -- Subjectal Abstraction
     −
D1. http://suo.ieee.org/ontology/msg05092.html -- Metaphormazes
+
===HAPA. Discussion Note 4===
D2.  http://suo.ieee.org/ontology/msg05110.html -- Deciduation Problems
  −
D3.  http://suo.ieee.org/ontology/msg05111.html -- Recapitulation
  −
D4.  http://suo.ieee.org/ontology/msg05112.html -- Key To Abstraction
  −
D5.  http://suo.ieee.org/ontology/msg05113.html -- Self Reference?
     −
The passage that you mention is quoted initially at No. 3, and
+
<pre>
it is discussed further at D1, D3, D4, and prospectively at D5.
+
By way of starting to compile a "key to abstractions and relatives"
 +
in the spirit of an old-fashioned field study key, I have gone back
 +
through our neck of the woulds and gathered these initial specimens:
   −
Have to break fast for breakfast as I am still semi-asleep ...
+
1. HIROTUFIA. Handy Indexical Rules Of Thumb Used For Identifying Abstractions
   −
BM = Bernard Morand
+
1.1.  One of the features that points to an abstract object or
 +
      a hypostatic abstraction is its being known by description,
 +
      in other words, by the predicates that are attributed to it
 +
      in remote reports of some variety, or in the various stories
 +
      and theories that are spun about it, instead of being known
 +
      more concretely and directly by acquaintance.  That is one
 +
      of the marks of all of the things that I mentioned before:
 +
      dormitive virtues, egos, numbers, quarks, sweetness, the
 +
      Starship Enterprise, and last not not least, unicorns.
   −
BM: I wonder whether Peirce is refering here to second
+
1.2.  CSP on HA: "It consists in taking a feature of a percept
    intention or namely to hypostatic abstraction (HA).
+
      or percepts (after it has already been prescinded from the
 +
      other elements of the percept), so as to take propositional
 +
      form in a judgment (indeed, it may operate upon any judgment
 +
      whatsoever), and in conceiving this fact to consist in the
 +
      relation between the subject of that judgment and another
 +
      subject, which has a mode of being that merely consists
 +
      in the truth of propositions of which the corresponding
 +
      concrete term is the predicate."
   −
BM: If we take as a starting case:
+
2.  HIROTUFIR.  Handy Indexical Rules Of Thumb Used For Identifying Relatives
   −
    (1) "Opium puts to sleep",
+
2.1.  A practical test of whether a property of a thing
 +
      is a relative property of a thing is that one needs
 +
      additional information, beyond that which identifies
 +
      the thing, in order to make a decision about whether
 +
      the thing in question has the property in question.
   −
    in order to transform it by HA, we get:
+
2.2.  Let me just throw out this thought:  Words and phrases like
 +
      "ego", "number", "quark", "unicorn", "Starship Enterprise",
 +
      along with all of the rest of the words and phrases that
 +
      we use, have no meaning at all outside of some community,
 +
      context, or framework of interpretation, so all of their
 +
      meanings and all of their specifications on any semantic
 +
      or semiotic feature, like "abstract" or "concrete", are
 +
      relative to the given community, context, or framework
 +
      of interpretation that gives them those meanings and
 +
      those specifications.
 +
</pre>
   −
    (2) "Opium has a dormitive virtue".
+
===HAPA. Discussion Note 5===
   −
BM: I see it as the transformation of a fact into
+
<pre>
    a more abstract concept, or say something like
+
BM = Bernard Morand
    "opium has the general property of putting to sleep".
  −
    It is hypostatic in the sense that it requires no further
  −
    proposition than (1) and that the transformation relies on
  −
    an "ens rationis".  But from (2) we can also get for example:
     −
    (3) "this discourse has a dormitive virtue",
+
| CSP on HA:  "It consists in taking a feature of a percept
 +
| or percepts (after it has already been prescinded from the
 +
| other elements of the percept), so as to take propositional
 +
| form in a judgment (indeed, it may operate upon any judgment
 +
| whatsoever), and in conceiving this fact to consist in the
 +
| relation between the subject of that judgment and another
 +
| subject, which has a mode of being that merely consists
 +
| in the truth of propositions of which the corresponding
 +
| concrete term is the predicate."
   −
    which requires a second subject (a fact about discourse).
+
BM: Could you give the source of this passage?
    I would be tempted to call this latter transformation
  −
    second intention, and it seems to fit with your quote
  −
    before.  But going from (2) to (3) doesn't seem to be
  −
    an hypostatic abstraction stricly speaking.
     −
BM: Thanks for throwing some light on this if possible.
+
This came up in the context of several different threads on the SUO and
</pre>
+
Ontology Lists that involved different people's ideas about abstraction:
 +
Cathy Legg mentioned HA a la Cyc and/or Davidson that piqued my interest,
 +
but I am still waiting for clarification of its relation to Peirce's HA;
 +
Matthew West has a distinction between the categories of <abstract_object>
 +
and <possible_individual> in his Lifecycle Integration Schema, a datamodel
 +
and/or ontology that is currently being considered by the SUO working group;
 +
John Sowa dreams of a divine apportionment of every thing between the domain
 +
of Physical Earth and the realm of Abstract Heaven in his Philosophy, Horatio.
   −
===HAPA. Discussion Note 6===
+
Here is the stem cell of the LIS filiation:
   −
<pre>
+
LIS.  Lifecycle Integration Schema -- Matthew West
BM = Bernard Morand
     −
The genealogy of this circle of thoughts goes a bit like this:
+
01.  http://suo.ieee.org/email/msg10712.html
   −
| Bentham's "Theory of Fictions" begat (paraphrastically)
+
Here are the links to the source materials
| Schönfinkel's "Bausteine" and this begat (independently)
+
and discussion notes that have accumulated
| Church's "Lambda Calculus" and this begat (in good time)
+
up to this point on HA and PA:
| McCarthy's "Lisp" and all the rest is AI and IEEE ...
     −
It is no accident, at least not from the right "state of information" (SOI),
+
HAPAHypostatic And Prescisive Abstraction
how lambda abstraction got its tale, as it is truly most pertinently tagged.
  −
It is said that the lambda came from Russell('s) and Whitehead's employment
  −
of a caret (^) to mark a cousin operation of relational conversion, but let
  −
me try to look that up later.  At any rate, the main idea has been stock in
  −
trade of mathematics for as long as anybody can remember, and in philosophy
  −
more generally (or vaguely, I can never remember which) the laurel is often
  −
placed on Bentham for his idea of paraphrasisHere's a general/vague link:
     −
http://www.utm.edu/research/iep/b/bentham.htm
+
01.  http://suo.ieee.org/ontology/msg05089.html -- Cain and Abel
 +
02.  http://suo.ieee.org/ontology/msg05090.html -- Dormative Virtue
 +
03.  http://suo.ieee.org/ontology/msg05091.html -- Honey is Sweet
 +
04.  http://suo.ieee.org/ontology/msg05093.html -- Math Abstraction
 +
05.  http://suo.ieee.org/ontology/msg05100.html -- Reading Runes
 +
06.  http://suo.ieee.org/ontology/msg05101.html -- Hypostatization
 +
07.  http://suo.ieee.org/ontology/msg05105.html -- Abstract Objects
 +
08.  http://suo.ieee.org/ontology/msg05108.html -- Subjectal Abstraction
   −
What we see here is the very same thing going on
+
D1.  http://suo.ieee.org/ontology/msg05092.html -- Metaphormazes
in the colloquial homilies that Peirce attempted
+
D2.  http://suo.ieee.org/ontology/msg05110.html -- Deciduation Problems
to use to adumbrate the spirit of abstraction in
+
D3.  http://suo.ieee.org/ontology/msg05111.html -- Recapitulation
the formal sciences.
+
D4.  http://suo.ieee.org/ontology/msg05112.html -- Key To Abstraction
 +
D5.  http://suo.ieee.org/ontology/msg05113.html -- Self Reference?
 +
 
 +
The passage that you mention is quoted initially at No. 3, and
 +
it is discussed further at D1, D3, D4, and prospectively at D5.
 +
 
 +
Have to break fast for breakfast as I am still semi-asleep ...
 +
 
 +
BM = Bernard Morand
    
BM: I wonder whether Peirce is refering here to second
 
BM: I wonder whether Peirce is refering here to second
Line 2,085: Line 2,030:  
     (2) "Opium has a dormitive virtue".
 
     (2) "Opium has a dormitive virtue".
   −
Here is the diagram that I drew for the analogous case
+
BM: I see it as the transformation of a fact into
of "virtus dulcitiva", in lay terminology, "sweetness".
+
    a more abstract concept, or say something like
 +
    "opium has the general property of putting to sleep".
 +
    It is hypostatic in the sense that it requires no further
 +
    proposition than (1) and that the transformation relies on
 +
    an "ens rationis". But from (2) we can also get for example:
   −
Referring to a few of Peirce's standard discussions
+
    (3) "this discourse has a dormitive virtue",
of "hypostatic abstraction" (HA), the main thing
  −
about HA is that it turns an adjective or some
  −
part of a predicate into an extra subject,
  −
upping the arity of the main predicate
  −
in the process.
     −
For example, a typical case of HA occurs in the transformation
+
    which requires a second subject (a fact about discourse).
from "honey is sweet" to "honey possesses sweetness", which we
+
    I would be tempted to call this latter transformation
could choose to represent in several different ways as follows:
+
    second intention, and it seems to fit with your quote
 +
    before.  But going from (2) to (3) doesn't seem to be
 +
    an hypostatic abstraction stricly speaking.
   −
Sweet(honey) ~~~> Possesses(honey, sweetness)
+
BM: Thanks for throwing some light on this if possible.
 +
</pre>
   −
S(h) ~~~> P(h, s)
+
===HAPA. Discussion Note 6===
   −
S          P
+
<pre>
o          o
+
BM = Bernard Morand
|  ~~~>   |
  −
o          o
  −
h        <h,s>
     −
            ^
+
The genealogy of this circle of thoughts goes a bit like this:
[S]  ~~~>  /P\
  −
|        o->-o
  −
|        |  | 
  −
o        o  o
  −
h        h  s
     −
Figs. Are Sweet. If served in season.  At just the right temps.
+
| Bentham's "Theory of Fictions" begat (paraphrastically)
 +
| Schönfinkel's "Bausteine" and this begat (independently)
 +
| Church's "Lambda Calculus" and this begat (in good time)
 +
| McCarthy's "Lisp" and all the rest is AI and IEEE ...
   −
The chief thing about this form of grammatical transformation is that we
+
It is no accident, at least not from the right "state of information" (SOI),
abstract the adjective "sweet" from the main predicate, thus arriving at
+
how lambda abstraction got its tale, as it is truly most pertinently tagged.
a new, increased-arity predicate "possesses", and as a by-product of the
+
It is said that the lambda came from Russell('s) and Whitehead's employment
reaction, as it were, precipitating out the substantive "sweetness" as a
+
of a caret (^) to mark a cousin operation of relational conversion, but let
new subject of the new predicate.
+
me try to look that up later.  At any rate, the main idea has been stock in
 +
trade of mathematics for as long as anybody can remember, and in philosophy
 +
more generally (or vaguely, I can never remember which) the laurel is often
 +
placed on Bentham for his idea of paraphrasis. Here's a general/vague link:
   −
BM: I see it as the transformation of a fact into a more abstract concept, or
+
http://www.utm.edu/research/iep/b/bentham.htm
    say something like "opium has the general property of putting to sleep".
     −
Sticking, sweetly, if you will, to the notion that a concept is a mental symbol,
+
What we see here is the very same thing going on
some might say that a sufficently "precise" abstract concept is already present
+
in the colloquial homilies that Peirce attempted
in the predicate "is_sweet", but HA takes a step beyond that, as some would say,
+
to use to adumbrate the spirit of abstraction in
onto the flypaper of "abstract but substantial objects" like 'virtus dulcitiva'.
+
the formal sciences.
   −
BM: It is hypostatic in the sense that it requires no further
+
BM: I wonder whether Peirce is refering here to second
     proposition than (1) and that the transformation relies on
+
     intention or namely to hypostatic abstraction (HA).
    an "ens rationis".
     −
Yes, this is the critical observation.
+
BM: If we take as a starting case:
   −
BM: But from (2) we can also get for example:
+
    (1) "Opium puts to sleep",
   −
     (3) "this discourse has a dormitive virtue",
+
     in order to transform it by HA, we get:
   −
     which requires a second subject (a fact about discourse).
+
     (2) "Opium has a dormitive virtue".
   −
This is known as "application of the abstraction to another argument",
+
Here is the diagram that I drew for the analogous case
and it is analogous to the other half of the lambda calculus paradigm.
+
of "virtus dulcitiva", in lay terminology, "sweetness".
   −
BM: I would be tempted to call this latter transformation
+
Referring to a few of Peirce's standard discussions
    second intention, and it seems to fit with your quote
+
of "hypostatic abstraction" (HA), the main thing
    before.  But going from (2) to (3) doesn't seem to be
+
about HA is that it turns an adjective or some
    an hypostatic abstraction stricly speaking.
+
part of a predicate into an extra subject,
 +
upping the arity of the main predicate
 +
in the process.
   −
As for the matter of intentional orders, I foggily peirceive
+
For example, a typical case of HA occurs in the transformation
but the clue that it has something to do with the operations
+
from "honey is sweet" to "honey possesses sweetness", which we
 +
could choose to represent in several different ways as follows:
 +
 
 +
Sweet(honey) ~~~> Possesses(honey, sweetness)
 +
 
 +
S(h) ~~~> P(h, s)
 +
 
 +
S          P
 +
o          o
 +
|  ~~~>  |
 +
o          o
 +
h        <h,s>
 +
 
 +
            ^
 +
[S]  ~~~>  /P\
 +
|        o->-o
 +
|        |  | 
 +
o        o  o
 +
h        h  s
 +
 
 +
Figs.  Are Sweet.  If served in season.  At just the right temps.
 +
 
 +
The chief thing about this form of grammatical transformation is that we
 +
abstract the adjective "sweet" from the main predicate, thus arriving at
 +
a new, increased-arity predicate "possesses", and as a by-product of the
 +
reaction, as it were, precipitating out the substantive "sweetness" as a
 +
new subject of the new predicate.
 +
 
 +
BM: I see it as the transformation of a fact into a more abstract concept, or
 +
    say something like "opium has the general property of putting to sleep".
 +
 
 +
Sticking, sweetly, if you will, to the notion that a concept is a mental symbol,
 +
some might say that a sufficently "precise" abstract concept is already present
 +
in the predicate "is_sweet", but HA takes a step beyond that, as some would say,
 +
onto the flypaper of "abstract but substantial objects" like 'virtus dulcitiva'.
 +
 
 +
BM: It is hypostatic in the sense that it requires no further
 +
    proposition than (1) and that the transformation relies on
 +
    an "ens rationis".
 +
 
 +
Yes, this is the critical observation.
 +
 
 +
BM: But from (2) we can also get for example:
 +
 
 +
    (3) "this discourse has a dormitive virtue",
 +
 
 +
    which requires a second subject (a fact about discourse).
 +
 
 +
This is known as "application of the abstraction to another argument",
 +
and it is analogous to the other half of the lambda calculus paradigm.
 +
 
 +
BM: I would be tempted to call this latter transformation
 +
    second intention, and it seems to fit with your quote
 +
    before.  But going from (2) to (3) doesn't seem to be
 +
    an hypostatic abstraction stricly speaking.
 +
 
 +
As for the matter of intentional orders, I foggily peirceive
 +
but the clue that it has something to do with the operations
 
that I throw together under the name of "reflection", and by
 
that I throw together under the name of "reflection", and by
 
this plurality of reflection to say I abstract some fraction
 
this plurality of reflection to say I abstract some fraction
Line 8,859: Line 8,861:  
'''Ontology List (Sep 2003)'''
 
'''Ontology List (Sep 2003)'''
   −
* http://suo.ieee.org/ontology/thrd10.html#05026
+
* http://web.archive.org/web/20070305021905/http://suo.ieee.org/ontology/thrd10.html#05026
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
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+
# http://web.archive.org/web/20070219035929/http://suo.ieee.org/ontology/msg05082.html
    
===DIEP. De In Esse Predication &bull; Discussion History===
 
===DIEP. De In Esse Predication &bull; Discussion History===
Line 8,884: Line 8,886:  
'''Inquiry List (Sep 2003)'''
 
'''Inquiry List (Sep 2003)'''
   −
* http://stderr.org/pipermail/inquiry/2003-September/thread.html#786
+
* http://web.archive.org/web/20120505135759/http://stderr.org/pipermail/inquiry/2003-September/thread.html#786
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+
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+
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+
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+
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+
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+
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+
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 +
# http://web.archive.org/web/20061014000859/http://stderr.org/pipermail/inquiry/2003-September/000798.html
    
'''Ontology List (Sep 2003)'''
 
'''Ontology List (Sep 2003)'''
   −
* http://suo.ieee.org/ontology/thrd10.html#05032
+
* http://web.archive.org/web/20070305021905/http://suo.ieee.org/ontology/thrd10.html#05032
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+
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+
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 +
# http://web.archive.org/web/20070222033828/http://suo.ieee.org/ontology/msg05046.html
   −
===HAPA. Hypostatic And Prescisive Abstraction 1===
+
===HAPA. Hypostatic And Prescisive Abstraction 1 &bull; Document History===
   −
====SUO List====
+
'''Ontology List (Sep&ndash;Oct 2003)'''
 +
 
 +
# http://suo.ieee.org/ontology/msg05089.html -- Continuous Predicate
 +
# http://suo.ieee.org/ontology/msg05090.html -- Dormitive Virtue
 +
# http://suo.ieee.org/ontology/msg05091.html -- Dulcitive Virtue
 +
# http://suo.ieee.org/ontology/msg05093.html -- Math Abstraction
 +
# http://suo.ieee.org/ontology/msg05100.html -- Reading Runes
 +
# http://suo.ieee.org/ontology/msg05101.html -- Hypostatization
 +
# http://suo.ieee.org/ontology/msg05105.html -- Abstract Objects
 +
# http://suo.ieee.org/ontology/msg05108.html -- Subjectal Abstraction
 +
# http://suo.ieee.org/ontology/msg05118.html -- Definition of Predicate
 +
# http://suo.ieee.org/ontology/msg05121.html -- Second Intentions
 +
# http://suo.ieee.org/ontology/msg05122.html -- Logical Reflexion
 +
# http://suo.ieee.org/ontology/msg05125.html -- Epea Apteroenta
 +
 
 +
'''SUO List (Sep&ndash;Oct 2003)'''
    
# http://suo.ieee.org/email/msg10964.html -- Continuous Predicate
 
# http://suo.ieee.org/email/msg10964.html -- Continuous Predicate
Line 8,921: Line 8,940:  
# http://suo.ieee.org/email/msg11290.html -- Epea Apteroenta
 
# http://suo.ieee.org/email/msg11290.html -- Epea Apteroenta
   −
====Ontology List====
+
===HAPA. Hypostatic And Prescisive Abstraction 1 &bull; Discussion History===
   −
# http://suo.ieee.org/ontology/msg05089.html -- Continuous Predicate
+
'''Ontology List (Sep&ndash;Oct 2003)'''
# http://suo.ieee.org/ontology/msg05090.html -- Dormitive Virtue
  −
# http://suo.ieee.org/ontology/msg05091.html -- Dulcitive Virtue
  −
# http://suo.ieee.org/ontology/msg05093.html -- Math Abstraction
  −
# http://suo.ieee.org/ontology/msg05100.html -- Reading Runes
  −
# http://suo.ieee.org/ontology/msg05101.html -- Hypostatization
  −
# http://suo.ieee.org/ontology/msg05105.html -- Abstract Objects
  −
# http://suo.ieee.org/ontology/msg05108.html -- Subjectal Abstraction
  −
# http://suo.ieee.org/ontology/msg05118.html -- Definition of Predicate
  −
# http://suo.ieee.org/ontology/msg05121.html -- Second Intentions
  −
# http://suo.ieee.org/ontology/msg05122.html -- Logical Reflexion
  −
# http://suo.ieee.org/ontology/msg05125.html -- Epea Apteroenta
     −
===HAPA. Hypostatic And Prescisive Abstraction 1 : Discussion===
+
# http://suo.ieee.org/ontology/msg05092.html -- Metaphormazes
 +
# http://suo.ieee.org/ontology/msg05110.html -- Deciduation Problems
 +
# http://suo.ieee.org/ontology/msg05111.html -- Thematic Recapitulation
 +
# http://suo.ieee.org/ontology/msg05112.html -- Field Key, Kitchen Recipe
 +
# http://suo.ieee.org/ontology/msg05113.html -- Indirect Self Reference
 +
# http://suo.ieee.org/ontology/msg05114.html -- Genealogy & Paraphrasis
 +
# http://suo.ieee.org/ontology/msg05115.html -- Intention & Reflection
 +
# http://suo.ieee.org/ontology/msg05116.html -- Rhematic Saturation
 +
# http://suo.ieee.org/ontology/msg05117.html -- Relational Turn
 +
# http://suo.ieee.org/ontology/msg05119.html -- Tabula Erasa
 +
# http://suo.ieee.org/ontology/msg05120.html -- Directions
   −
====SUO List====
+
'''SUO List (Sep&ndash;Oct 2003)'''
    
# http://suo.ieee.org/email/msg10967.html -- Metaphormazes
 
# http://suo.ieee.org/email/msg10967.html -- Metaphormazes
Line 8,952: Line 8,970:  
# http://suo.ieee.org/email/msg11267.html -- Directions
 
# http://suo.ieee.org/email/msg11267.html -- Directions
   −
====Ontology List====
+
===HAPA. Hypostatic And Prescisive Abstraction 2 &bull; Document History===
   −
# http://suo.ieee.org/ontology/msg05092.html -- Metaphormazes
+
'''Inquiry List (Sep&ndash;Oct 2003)'''
# http://suo.ieee.org/ontology/msg05110.html -- Deciduation Problems
  −
# http://suo.ieee.org/ontology/msg05111.html -- Thematic Recapitulation
  −
# http://suo.ieee.org/ontology/msg05112.html -- Field Key, Kitchen Recipe
  −
# http://suo.ieee.org/ontology/msg05113.html -- Indirect Self Reference
  −
# http://suo.ieee.org/ontology/msg05114.html -- Genealogy & Paraphrasis
  −
# http://suo.ieee.org/ontology/msg05115.html -- Intention & Reflection
  −
# http://suo.ieee.org/ontology/msg05116.html -- Rhematic Saturation
  −
# http://suo.ieee.org/ontology/msg05117.html -- Relational Turn
  −
# http://suo.ieee.org/ontology/msg05119.html -- Tabula Erasa
  −
# http://suo.ieee.org/ontology/msg05120.html -- Directions
     −
===HAPA. Hypostatic And Prescisive Abstraction 2===
+
* http://stderr.org/pipermail/inquiry/2003-September/thread.html#841
 
+
* http://stderr.org/pipermail/inquiry/2003-October/thread.html#899
====SUO List====
+
# http://stderr.org/pipermail/inquiry/2003-September/000841.html
 
+
# http://stderr.org/pipermail/inquiry/2003-September/000842.html
# http://suo.ieee.org/email/msg10964.html
+
# http://stderr.org/pipermail/inquiry/2003-September/000843.html
# http://suo.ieee.org/email/msg10965.html
+
# http://stderr.org/pipermail/inquiry/2003-September/000851.html
# http://suo.ieee.org/email/msg10966.html
+
# http://stderr.org/pipermail/inquiry/2003-September/000858.html
# http://suo.ieee.org/email/msg10991.html
+
# http://stderr.org/pipermail/inquiry/2003-September/000859.html
# http://suo.ieee.org/email/msg11022.html
+
# http://stderr.org/pipermail/inquiry/2003-September/000863.html
# http://suo.ieee.org/email/msg11025.html
+
# http://stderr.org/pipermail/inquiry/2003-September/000866.html
# http://suo.ieee.org/email/msg11028.html
+
# http://stderr.org/pipermail/inquiry/2003-October/000899.html
# http://suo.ieee.org/email/msg11079.html
+
# http://stderr.org/pipermail/inquiry/2003-October/000902.html
# http://suo.ieee.org/email/msg11239.html
+
# http://stderr.org/pipermail/inquiry/2003-October/000903.html
# http://suo.ieee.org/email/msg11271.html
+
# http://stderr.org/pipermail/inquiry/2003-October/000906.html
# http://suo.ieee.org/email/msg11277.html
  −
# http://suo.ieee.org/email/msg11290.html
     −
====Ontology List====
+
'''Ontology List (Sep&ndash;Oct 2003)'''
    
# http://suo.ieee.org/ontology/msg05089.html
 
# http://suo.ieee.org/ontology/msg05089.html
Line 8,998: Line 9,004:  
# http://suo.ieee.org/ontology/msg05125.html
 
# http://suo.ieee.org/ontology/msg05125.html
   −
====Inquiry List====
+
'''SUO List (Sep&ndash;Oct 2003)'''
   −
* http://stderr.org/pipermail/inquiry/2003-September/thread.html#841
+
# http://suo.ieee.org/email/msg10964.html
* http://stderr.org/pipermail/inquiry/2003-October/thread.html#899
+
# http://suo.ieee.org/email/msg10965.html
 +
# http://suo.ieee.org/email/msg10966.html
 +
# http://suo.ieee.org/email/msg10991.html
 +
# http://suo.ieee.org/email/msg11022.html
 +
# http://suo.ieee.org/email/msg11025.html
 +
# http://suo.ieee.org/email/msg11028.html
 +
# http://suo.ieee.org/email/msg11079.html
 +
# http://suo.ieee.org/email/msg11239.html
 +
# http://suo.ieee.org/email/msg11271.html
 +
# http://suo.ieee.org/email/msg11277.html
 +
# http://suo.ieee.org/email/msg11290.html
 +
 
 +
===HAPA. Hypostatic And Prescisive Abstraction 2 &bull; Discussion History===
 +
 
 +
'''Inquiry List (Sep&ndash;Oct 2003)'''
 +
 
 +
* http://stderr.org/pipermail/inquiry/2003-September/thread.html#844
 +
* http://stderr.org/pipermail/inquiry/2003-October/thread.html#891
 +
* http://stderr.org/pipermail/inquiry/2003-October/thread.html#900
 +
# http://stderr.org/pipermail/inquiry/2003-September/000844.html
 +
# http://stderr.org/pipermail/inquiry/2003-October/000891.html
 +
# http://stderr.org/pipermail/inquiry/2003-October/000892.html
 +
# http://stderr.org/pipermail/inquiry/2003-October/000893.html
 +
# http://stderr.org/pipermail/inquiry/2003-October/000894.html
 +
# http://stderr.org/pipermail/inquiry/2003-October/000895.html
 +
# http://stderr.org/pipermail/inquiry/2003-October/000896.html
 +
# http://stderr.org/pipermail/inquiry/2003-October/000897.html
 +
# http://stderr.org/pipermail/inquiry/2003-October/000898.html
 +
# http://stderr.org/pipermail/inquiry/2003-October/000900.html
 +
# http://stderr.org/pipermail/inquiry/2003-October/000901.html
   −
# http://stderr.org/pipermail/inquiry/2003-September/000841.html
+
'''Ontology List (Sep&ndash;Oct 2003)'''
# http://stderr.org/pipermail/inquiry/2003-September/000842.html
  −
# http://stderr.org/pipermail/inquiry/2003-September/000843.html
  −
# http://stderr.org/pipermail/inquiry/2003-September/000851.html
  −
# http://stderr.org/pipermail/inquiry/2003-September/000858.html
  −
# http://stderr.org/pipermail/inquiry/2003-September/000859.html
  −
# http://stderr.org/pipermail/inquiry/2003-September/000863.html
  −
# http://stderr.org/pipermail/inquiry/2003-September/000866.html
  −
# http://stderr.org/pipermail/inquiry/2003-October/000899.html
  −
# http://stderr.org/pipermail/inquiry/2003-October/000902.html
  −
# http://stderr.org/pipermail/inquiry/2003-October/000903.html
  −
# http://stderr.org/pipermail/inquiry/2003-October/000906.html
     −
===HAPA. Hypostatic And Prescisive Abstraction 2 : Discussion===
+
# http://suo.ieee.org/ontology/msg05092.html
 +
# http://suo.ieee.org/ontology/msg05110.html
 +
# http://suo.ieee.org/ontology/msg05111.html
 +
# http://suo.ieee.org/ontology/msg05112.html
 +
# http://suo.ieee.org/ontology/msg05113.html
 +
# http://suo.ieee.org/ontology/msg05114.html
 +
# http://suo.ieee.org/ontology/msg05115.html
 +
# http://suo.ieee.org/ontology/msg05116.html
 +
# http://suo.ieee.org/ontology/msg05117.html
 +
# http://suo.ieee.org/ontology/msg05119.html
 +
# http://suo.ieee.org/ontology/msg05120.html
   −
====SUO List====
+
'''SUO List (Sep&ndash;Oct 2003)'''
    
# http://suo.ieee.org/email/msg10967.html
 
# http://suo.ieee.org/email/msg10967.html
Line 9,027: Line 9,061:  
# http://suo.ieee.org/email/msg11232.html
 
# http://suo.ieee.org/email/msg11232.html
 
# http://suo.ieee.org/email/msg11234.html
 
# http://suo.ieee.org/email/msg11234.html
# http://suo.ieee.org/email/msg11236.html
+
# http://suo.ieee.org/email/msg11236.html
# http://suo.ieee.org/email/msg11237.html
+
# http://suo.ieee.org/email/msg11237.html
# http://suo.ieee.org/email/msg11240.html
+
# http://suo.ieee.org/email/msg11240.html
# http://suo.ieee.org/email/msg11267.html
+
# http://suo.ieee.org/email/msg11267.html
 
+
 
====Ontology List====
+
===JITL. Just In Time Logic &bull; Document History===
 
+
 
# http://suo.ieee.org/ontology/msg05092.html
+
'''Inquiry List (Aug 2003 &ndash; Apr 2005)'''
# http://suo.ieee.org/ontology/msg05110.html
+
 
# http://suo.ieee.org/ontology/msg05111.html
+
* http://stderr.org/pipermail/inquiry/2003-August/thread.html#712
# http://suo.ieee.org/ontology/msg05112.html
+
* http://stderr.org/pipermail/inquiry/2005-April/thread.html#2542
# http://suo.ieee.org/ontology/msg05113.html
+
# http://stderr.org/pipermail/inquiry/2003-August/000712.html
# http://suo.ieee.org/ontology/msg05114.html
+
# http://stderr.org/pipermail/inquiry/2003-August/000714.html
# http://suo.ieee.org/ontology/msg05115.html
+
# http://stderr.org/pipermail/inquiry/2003-August/000717.html
# http://suo.ieee.org/ontology/msg05116.html
+
# http://stderr.org/pipermail/inquiry/2003-August/000719.html
# http://suo.ieee.org/ontology/msg05117.html
+
# http://stderr.org/pipermail/inquiry/2003-August/000722.html
# http://suo.ieee.org/ontology/msg05119.html
+
# http://stderr.org/pipermail/inquiry/2003-August/000723.html
# http://suo.ieee.org/ontology/msg05120.html
+
# http://stderr.org/pipermail/inquiry/2003-August/000724.html
 
+
# http://stderr.org/pipermail/inquiry/2003-August/000725.html
====Inquiry List====
+
# http://stderr.org/pipermail/inquiry/2003-August/000726.html
 
+
# http://stderr.org/pipermail/inquiry/2003-August/000727.html
* http://stderr.org/pipermail/inquiry/2003-September/thread.html#844
+
# http://stderr.org/pipermail/inquiry/2003-August/000728.html
* http://stderr.org/pipermail/inquiry/2003-October/thread.html#891
+
# http://stderr.org/pipermail/inquiry/2003-August/000729.html
* http://stderr.org/pipermail/inquiry/2003-October/thread.html#900
+
# http://stderr.org/pipermail/inquiry/2003-August/000730.html
 
+
# http://stderr.org/pipermail/inquiry/2003-August/000731.html
# http://stderr.org/pipermail/inquiry/2003-September/000844.html
+
# http://stderr.org/pipermail/inquiry/2003-August/000732.html
# http://stderr.org/pipermail/inquiry/2003-October/000891.html
+
# http://stderr.org/pipermail/inquiry/2005-April/002542.html
# http://stderr.org/pipermail/inquiry/2003-October/000892.html
+
# http://stderr.org/pipermail/inquiry/2005-April/002543.html
# http://stderr.org/pipermail/inquiry/2003-October/000893.html
+
# http://stderr.org/pipermail/inquiry/2005-April/002544.html
# http://stderr.org/pipermail/inquiry/2003-October/000894.html
  −
# http://stderr.org/pipermail/inquiry/2003-October/000895.html
  −
# http://stderr.org/pipermail/inquiry/2003-October/000896.html
  −
# http://stderr.org/pipermail/inquiry/2003-October/000897.html
  −
# http://stderr.org/pipermail/inquiry/2003-October/000898.html
  −
# http://stderr.org/pipermail/inquiry/2003-October/000900.html
  −
# http://stderr.org/pipermail/inquiry/2003-October/000901.html
  −
 
  −
===JITL. Just In Time Logic===
     −
====Ontology List====
+
'''Ontology List (Aug 2003)'''
    
* http://suo.ieee.org/ontology/thrd11.html#04961
 
* http://suo.ieee.org/ontology/thrd11.html#04961
Line 9,085: Line 9,110:  
# http://suo.ieee.org/ontology/msg04979.html
 
# http://suo.ieee.org/ontology/msg04979.html
 
# http://suo.ieee.org/ontology/msg04980.html
 
# http://suo.ieee.org/ontology/msg04980.html
  −
====Inquiry List====
  −
  −
* http://stderr.org/pipermail/inquiry/2003-August/thread.html#712
  −
* http://stderr.org/pipermail/inquiry/2005-April/thread.html#2542
  −
# http://stderr.org/pipermail/inquiry/2003-August/000712.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000714.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000717.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000719.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000722.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000723.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000724.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000725.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000726.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000727.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000728.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000729.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000730.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000731.html
  −
# http://stderr.org/pipermail/inquiry/2003-August/000732.html
  −
# http://stderr.org/pipermail/inquiry/2005-April/002542.html
  −
# http://stderr.org/pipermail/inquiry/2005-April/002543.html
  −
# http://stderr.org/pipermail/inquiry/2005-April/002544.html
  −
  −
==Work Area==
      
===OLOD. Quine On The Limits Of Decision &bull; Document History===
 
===OLOD. Quine On The Limits Of Decision &bull; Document History===
12,080

edits