Difference between revisions of "Hypostatic abstraction"
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* [http://mathweb.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ MathWeb Wiki] | * [http://mathweb.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ MathWeb Wiki] | ||
* [http://netknowledge.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ NetKnowledge] | * [http://netknowledge.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ NetKnowledge] | ||
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* [http://p2pfoundation.net/Hypostatic_Abstraction Hypostatic Abstraction @ P2P Foundation] | * [http://p2pfoundation.net/Hypostatic_Abstraction Hypostatic Abstraction @ P2P Foundation] | ||
* [http://semanticweb.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ SemanticWeb] | * [http://semanticweb.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ SemanticWeb] | ||
| + | * [http://ref.subwiki.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ Subject Wikis] | ||
| + | * [http://beta.wikiversity.org/wiki/Hypostatic_abstraction Hypostatic Abstraction @ Wikiversity Beta] | ||
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Revision as of 15:12, 21 June 2010
☞ This page belongs to resource collections on Logic and Inquiry.
Hypostatic abstraction is a formal operation that takes an element of information, as expressed in a proposition \(X ~\operatorname{is}~ Y,\) and conceives its information to consist in the relation between that subject and another subject, as expressed in the proposition \(X ~\operatorname{has}~ Y\!\operatorname{-ness}.\) The existence of the abstract subject \(Y\!\operatorname{-ness}\) consists solely in the truth of those propositions that contain the concrete predicate \(Y.\!\) 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 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 "honey possesses sweetness", which transformation can be viewed in the following variety of ways:
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".
References
- 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.
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- Hypostatic Abstraction @ MyWikiBiz
- Hypostatic Abstraction @ MathWeb Wiki
- Hypostatic Abstraction @ NetKnowledge
- Hypostatic Abstraction @ OER Commons
- Hypostatic Abstraction @ P2P Foundation
- Hypostatic Abstraction @ SemanticWeb
- Hypostatic Abstraction @ Subject Wikis
- Hypostatic Abstraction @ Wikiversity Beta
Logical operators
Related topics
- Propositional calculus
- Sole sufficient operator
- Truth table
- Universe of discourse
- Zeroth order logic
Relational concepts
Information, Inquiry
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Portions of the above article were adapted from the following sources under the GNU Free Documentation License, under other applicable licenses, or by permission of the copyright holders.
- Hypostatic Abstraction, MyWikiBiz
- Hypostatic Abstraction, NetKnowledge
- Hypostatic Abstraction, PlanetMath
- Hypostatic Abstraction, Google Knol
- Hypostatic Abstraction, ThoughtMesh
- Hypostatic Abstraction, Wikiversity Beta
- Hypostatic Abstraction, GetWiki
- Hypostatic Abstraction, Wikinfo
- Hypostatic Abstraction, Textop Wiki
- Hypostatic Abstraction, Wikipedia
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