Hypostatic abstraction - Revision history

Jon Awbrey at 18:58, 10 November 2015

2015-11-10T18:58:11Z

Jon Awbrey: + ==See also==

2015-11-10T16:08:13Z

+ ==See also==

Jon Awbrey: update

2015-11-09T22:28:05Z

update

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Jon Awbrey: Category:Charles Sanders Peirce

2011-10-29T19:10:13Z

Category:Charles Sanders Peirce

Jon Awbrey: /* Peer nodes */ + 2

2010-06-21T15:12:11Z

Peer nodes: + 2

Jon Awbrey: /* Information, Inquiry */

2010-05-23T11:50:44Z

Information, Inquiry

Jon Awbrey: /* Syllabus */ update

2010-05-22T15:10:06Z

Syllabus: update

Jon Awbrey: dashes

2010-05-17T03:45:17Z

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Jon Awbrey: cleanup

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 * [[Hypostatic object]]
 * [[Prescisive abstraction]]
 ==References==

← Older revision		Revision as of 16:08, 10 November 2015
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	The grammatical trace of this hypostatic transformation tells of a process that abstracts the adjective “sweet” from the main predicate “is sweet”, 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 second subject of the new predicate, “possesses”.		The grammatical trace of this hypostatic transformation tells of a process that abstracts the adjective “sweet” from the main predicate “is sweet”, 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 second subject of the new predicate, “possesses”.
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		+	==See also==
		+
		+	* [[Hypostatic object]]
		+	* [[Prescisive abstraction]]
		+	* [[The Simplest Mathematics]]

	==References==		==References==

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 [[Category:Open Educational Resource]]
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 [[Category:Computer Science]]
 [[Category:Linguistics]]
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 [[Category:Philosophy]]
 [[Category:Semiotics]]

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 * [http://mathweb.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ MathWeb Wiki]
 * [http://netknowledge.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ NetKnowledge]
 {{col-break}}
 * [http://p2pfoundation.net/Hypostatic_Abstraction Hypostatic Abstraction @ P2P Foundation]
 * [http://semanticweb.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ SemanticWeb]
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 * [[Pragmatic maxim]]
-* [[Pragmatic theory of truth]]
+* [[Truth theory]]
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 * [[Inquiry]]
 * [[Logic of information]]
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 * [[Pragmatic maxim]]
 * [[Pragmatic theory of truth]]
 {{col-end}}
 ===Related articles===
 * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Introduction_to_Inquiry_Driven_Systems Jon Awbrey, &ldquo;Introduction To Inquiry Driven Systems&rdquo;]

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 '''Hypostatic abstraction''' is a formal operation that takes an element of information, as expressed in a proposition <math>X ~\operatorname{is}~ Y,</math> and conceives its information to consist in the relation between that subject and another subject, as expressed in the proposition <math>X ~\operatorname{has}~ Y\!\operatorname{-ness}.</math>  The existence of the abstract subject <math>Y\!\operatorname{-ness}</math> consists solely in the truth of those propositions that contain the concrete predicate <math>Y.\!</math>  Hypostatic abstraction is known under many names, for example, ''hypostasis'', ''objectification'', ''reification'', and ''subjectal abstraction''.  The object of discussion or thought thus introduced is termed a ''[[hypostatic object]]''.
-The above definition is adapted from the one given by introduced [[Charles Sanders Peirce]] (CP 4.235, "[[The Simplest Mathematics]]" (1902), in ''Collected Papers'', CP 4.227–323).
+The above definition is adapted from the one given by introduced [[Charles Sanders Peirce]] (CP 4.235, "[[The Simplest Mathematics]]" (1902), in ''Collected Papers'', CP 4.227&ndash;323).
 The way that Peirce describes it, the main thing about the formal operation of hypostatic abstraction, insofar as it can be observed to operate on formal linguistic expressions, is that it converts an adjective or some part of a predicate into an extra [[subject]], upping the ''arity'', also called the ''adicity'', of the main predicate in the process.

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 <font size="3">&#9758;</font> This page belongs to resource collections on [[Logic Live|Logic]] and [[Inquiry Live|Inquiry]].
-'''Hypostatic abstraction''' is a [[is::formal operation]] that takes an element of information, as expressed in a proposition <math>X\ \operatorname{is}\ Y,</math> and conceives its information to consist in the relation between that subject and another subject, as expressed in the proposition <math>X\ \operatorname{has}\ Y\!\operatorname{-ness}.</math>  The existence of the abstract subject <math>Y\!\operatorname{-ness}</math> consists solely in the truth of those propositions that contain the concrete predicate <math>Y.\!</math>  Hypostatic abstraction is known under many names, for example, ''[[aka::hypostasis]]'', ''[[aka::objectification]]'', ''[[aka::reification]]'', and ''[[aka::subjectal abstraction]]''.  The object of discussion or thought thus introduced is termed a ''[[hypostatic object]]''.
+'''Hypostatic abstraction''' is a formal operation that takes an element of information, as expressed in a proposition <math>X ~\operatorname{is}~ Y,</math> and conceives its information to consist in the relation between that subject and another subject, as expressed in the proposition <math>X ~\operatorname{has}~ Y\!\operatorname{-ness}.</math>  The existence of the abstract subject <math>Y\!\operatorname{-ness}</math> consists solely in the truth of those propositions that contain the concrete predicate <math>Y.\!</math>  Hypostatic abstraction is known under many names, for example, ''hypostasis'', ''objectification'', ''reification'', and ''subjectal abstraction''.  The object of discussion or thought thus introduced is termed a ''[[hypostatic object]]''.
-The above definition is adapted from the one given by [[introduced by::Charles Sanders Peirce]] (CP 4.235, "[[introduced in::The Simplest Mathematics]]" (1902), in ''Collected Papers'', CP 4.227–323).
+The above definition is adapted from the one given by introduced [[Charles Sanders Peirce]] (CP 4.235, "[[The Simplest Mathematics]]" (1902), in ''Collected Papers'', CP 4.227–323).
-The way that Peirce describes it, the main thing about the formal operation of hypostatic abstraction, insofar as it can be observed to operate on formal linguistic expressions, is that it converts an adjective or some part of a predicate into an extra [[subject]], upping the ''[[changes::arity of the main predicate|arity]]'', also called the ''[[changes::adicity]]'', of the main predicate in the process.
+The way that Peirce describes it, the main thing about the formal operation of hypostatic abstraction, insofar as it can be observed to operate on formal linguistic expressions, is that it converts an adjective or some part of a predicate into an extra [[subject]], upping the ''arity'', also called the ''adicity'', of the main predicate in the process.
-For example, a typical case of hypostatic abstraction occurs in the transformation from "honey is sweet" to "[[example::honey possesses sweetness]]", which transformation can be viewed in the following variety of ways:
+For example, a typical case of hypostatic abstraction occurs in the transformation from "honey is sweet" to "honey possesses sweetness", which transformation can be viewed in the following variety of ways:
 <br>
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 ==References==
-* [[Charles Sanders Peirce|Peirce, C.S.]], ''Collected Papers of Charles Sanders Peirce'', vols. 1–6, [[Charles Hartshorne]] and [[Paul Weiss]] (eds.), vols. 7–8, [[Arthur W. Burks]] (ed.), Harvard University Press, Cambridge, MA, 1931–1935, 1958.
+* [[Charles Sanders Peirce|Peirce, C.S.]], ''Collected Papers of Charles Sanders Peirce'', vols. 1&ndash;6, [[Charles Hartshorne]] and [[Paul Weiss]] (eds.), vols. 7&ndash;8, [[Arthur W. Burks]] (ed.), Harvard University Press, Cambridge, MA, 1931&ndash;1935, 1958.
 ==Resources==
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 [[Category:Philosophy]]
 [[Category:Semiotics]]

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 ===Peer nodes===
-* [http://beta.wikiversity.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ Beta Wikiversity]
+{{col-begin}}
 * [http://mywikibiz.com/Hypostatic_abstraction Hypostatic Abstraction @ MyWikiBiz]
-* [http://www.netknowledge.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ NetKnowledge]
+* [http://mathweb.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ MathWeb Wiki]
 ===Logical operators===
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 * [[Sign relation]]
 * [[Triadic relation]]
 {{col-end}}
 ===Related articles===
 * [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Propositional_Equation_Reasoning_Systems Jon Awbrey, &ldquo;Propositional Equation Reasoning Systems&rdquo;]
 * [http://planetmath.org/encyclopedia/DifferentialPropositionalCalculus.html Jon Awbrey, &ldquo;Differential Propositional Calculus&rdquo;]
-* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_:_Introduction Jon Awbrey, &ldquo;Differential Logic : Introduction&rdquo;]
+* [http://mywikibiz.com/Directory:Jon_Awbrey/Papers/Differential_Logic_and_Dynamic_Systems_2.0 Jon Awbrey, &ldquo;Differential Logic and Dynamic Systems&rdquo;]
 ==Document history==