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|'Memoirs of the American Academy', Volume 9, pages 317-378, 26 January 1870,
|'Memoirs of the American Academy', Volume 9, pages 317-378, 26 January 1870,
|'Collected Papers' (CP 3.45-149), 'Chronological Edition' (CE 2, 359-429).
|'Collected Papers' (CP 3.45-149), 'Chronological Edition' (CE 2, 359-429).
</pre>
==Commentary Note 10.1==
<pre>
What Peirce is attempting to do in CP 3.75 is absolutely amazing,
What Peirce is attempting to do in CP 3.75 is absolutely amazing,
and I personally did not see anything on par with it again until
and I personally did not see anything on par with it again until
But that will take another cup of java ('c'j) ---
But that will take another cup of java ('c'j) ---
or maybe two, `2`'c'j = (!2!.'c',_oo)j ...
or maybe two, `2`'c'j = (!2!.'c',_oo)j ...
</pre>
==Commentary Note 10.2==
<pre>
To say that a relative term "imparts a relation"
To say that a relative term "imparts a relation"
is to say that it conveys information about the
is to say that it conveys information about the
Figure 4 merely shows a different way of viewing the same situation.
Figure 4 merely shows a different way of viewing the same situation.
</pre>
==Commentary Note 10.3==
<pre>
I will devote some time to drawing out the relationships
I will devote some time to drawing out the relationships
that exist among the different pictures of relations and
that exist among the different pictures of relations and
another, or else rolled up into a single universe of discourse, as
another, or else rolled up into a single universe of discourse, as
one prefers.
one prefers.
</pre>
==Commentary Note 10.4==
<pre>
From now on I will use the forms of analysis exemplified in the last set of
From now on I will use the forms of analysis exemplified in the last set of
Figures and Tables as a routine bridge between the logic of relative terms
Figures and Tables as a routine bridge between the logic of relative terms
The transitional form of analysis represented by Figure 5 may be
The transitional form of analysis represented by Figure 5 may be
called the "universal bracketing" of relatives as relations.
called the "universal bracketing" of relatives as relations.
</pre>
==Commentary Note 10.5==
<pre>
We have sufficiently covered the application of the comma functor,
We have sufficiently covered the application of the comma functor,
or the diagonal extension, to absolute terms, so let us return to
or the diagonal extension, to absolute terms, so let us return to
And so what Peirce says makes sense in this case.
And so what Peirce says makes sense in this case.
</pre>
==Commentary Note 10.6==
<pre>
As Peirce observes, it is not possible to work with
As Peirce observes, it is not possible to work with
relations in general without eventually abandoning
relations in general without eventually abandoning
o-------------------------------------------------o
o-------------------------------------------------o
Figure 8. Lover that is a Servant of a Woman
Figure 8. Lover that is a Servant of a Woman
</pre>
==Commentary Note 10.7==
<pre>
Here is what I get when I try to analyze Peirce's
Here is what I get when I try to analyze Peirce's
"giver of a horse to a lover of a woman" example
"giver of a horse to a lover of a woman" example
o---------------------------------------------------------------------o
o---------------------------------------------------------------------o
Figure 10. Anything that is a Giver of Anything to a Lover of Anything
Figure 10. Anything that is a Giver of Anything to a Lover of Anything
</pre>
==Commentary Note 10.8==
<pre>
In taking up the next example of relational composition,
In taking up the next example of relational composition,
let's exchange the relation 't' = "trainer of ---" for
let's exchange the relation 't' = "trainer of ---" for
symbol as the identity relation !1!, is already
symbol as the identity relation !1!, is already
implicit in Peirce's discussion at this point.
implicit in Peirce's discussion at this point.
</pre>
==Commentary Note 10.9==
<pre>
The use of the concepts of identity and teridentity is not to identify
The use of the concepts of identity and teridentity is not to identify
a thing in itself with itself, much less twice or thrice over, since
a thing in itself with itself, much less twice or thrice over, since
with respect to its synthesis in the role of a correlate
with respect to its synthesis in the role of a correlate
of a 3-adic relative, a gift, are one and the same thing.
of a 3-adic relative, a gift, are one and the same thing.
</pre>
==Commentary Note 10.10==
<pre>
Figure 8 depicts the last of the three examples involving
Figure 8 depicts the last of the three examples involving
the composition of 3-adic relatives with 2-adic relatives:
the composition of 3-adic relatives with 2-adic relatives:
| L , S # X | | Y |
| L , S # X | | Y |
o---------o---------o---------o---------o
o---------o---------o---------o---------o
</pre>
==Commentary Note 10.11==
<pre>
I return to where we were in unpacking the contents of CP 3.73.
I return to where we were in unpacking the contents of CP 3.73.
Peirce remarks that the comma operator can be iterated at will:
Peirce remarks that the comma operator can be iterated at will:
1,, = B:B:B +, C:C:C +, D:D:D +, E:E:E +, I:I:I +, J:J:J +, O:O:O.
1,, = B:B:B +, C:C:C +, D:D:D +, E:E:E +, I:I:I +, J:J:J +, O:O:O.
</pre>
==Selection 11==
<pre>
| The Signs for Multiplication (concl.)
| The Signs for Multiplication (concl.)
|
|
