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- Hypostatic_abstraction abstract "Hypostatic abstraction in mathematical logic, also known as hypostasis or subjectal abstraction, is a formal operation that transforms a predicate into a relation; for example "Honey is sweet" is transformed into "Honey possesses sweetness". The relation is created between the original subject and a new term that represents the property expressed by the original predicate.Hypostasis changes a propositional formula of the form X is Y to another one of the form X has the property of being Y or X has Y-ness. The logical functioning of the second object Y-ness consists solely in the truth-values of those propositions that have the corresponding concrete term Y as the predicate. The object of thought introduced in this way may be called a hypostatic object and in some senses an abstract object and a formal object.The above definition is adapted from the one given by Charles Sanders Peirce (CP 4.235, "The Simplest Mathematics" (1902), in Collected Papers, CP 4.227–323). As Peirce describes it, the main point about the formal operation of hypostatic abstraction, insofar as it operates on formal linguistic expressions, is that it converts an adjective or predicate into an extra subject, thus increasing by one the number of "subject" slots -- called the arity or adicity -- of the main predicate.The transformation of "honey is sweet" into "honey possesses sweetness" can be viewed in several ways:400pxThe grammatical trace of this hypostatic transformation is a process that extracts the adjective "sweet" from the predicate "is sweet", replacing it by a new, increased-arity predicate "possesses", and as a by-product of the reaction, as it were, precipitating out the substantive "sweetness" as a second subject of the new predicate.The abstraction of hypostasis takes the concrete physical sense of "taste" found in "honey is sweet" and gives it formal metaphysical characteristics in "honey has sweetness".".
- Hypostatic_abstraction thumbnail Hypostasis-diagram.png?width=300.
- Hypostatic_abstraction wikiPageExternalLink peirce_on_abstraction.htm.
- Hypostatic_abstraction wikiPageID "3667142".
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- Hypostatic_abstraction wikiPageWikiLink Abstract_and_concrete.
- Hypostatic_abstraction wikiPageWikiLink Abstract_object.
- Hypostatic_abstraction wikiPageWikiLink Abstraction.
- Hypostatic_abstraction wikiPageWikiLink Abstraction_(computer_science).
- Hypostatic_abstraction wikiPageWikiLink Abstraction_(mathematics).
- Hypostatic_abstraction wikiPageWikiLink Analogy.
- Hypostatic_abstraction wikiPageWikiLink Arity.
- Hypostatic_abstraction wikiPageWikiLink Arthur_Burks.
- Hypostatic_abstraction wikiPageWikiLink Category:Abstraction.
- Hypostatic_abstraction wikiPageWikiLink Category:Charles_Sanders_Peirce.
- Hypostatic_abstraction wikiPageWikiLink Category:Mathematical_analysis.
- Hypostatic_abstraction wikiPageWikiLink Category:Mathematical_logic.
- Hypostatic_abstraction wikiPageWikiLink Category:Mathematical_relations.
- Hypostatic_abstraction wikiPageWikiLink Category:Metaphysics.
- Hypostatic_abstraction wikiPageWikiLink Category_theory.
- Hypostatic_abstraction wikiPageWikiLink Charles_Hartshorne.
- Hypostatic_abstraction wikiPageWikiLink Charles_Sanders_Peirce.
- Hypostatic_abstraction wikiPageWikiLink Charles_Sanders_Peirce_bibliography.
- Hypostatic_abstraction wikiPageWikiLink Continuous_predicate.
- Hypostatic_abstraction wikiPageWikiLink E-Prime.
- Hypostatic_abstraction wikiPageWikiLink E-prime.
- Hypostatic_abstraction wikiPageWikiLink Formal_calculation.
- Hypostatic_abstraction wikiPageWikiLink Mathematical_logic.
- Hypostatic_abstraction wikiPageWikiLink Metaphysical.
- Hypostatic_abstraction wikiPageWikiLink Metaphysics.
- Hypostatic_abstraction wikiPageWikiLink Paul_Weiss_(philosopher).
- Hypostatic_abstraction wikiPageWikiLink Predicate_(mathematical_logic).
- Hypostatic_abstraction wikiPageWikiLink Property_(philosophy).
- Hypostatic_abstraction wikiPageWikiLink Propositional_formula.
- Hypostatic_abstraction wikiPageWikiLink Reification_(knowledge_representation).
- Hypostatic_abstraction wikiPageWikiLink Relation_(philosophy).
- Hypostatic_abstraction wikiPageWikiLink File:Hypostasis-diagram.png.
- Hypostatic_abstraction wikiPageWikiLinkText "Hypostatic abstraction".
- Hypostatic_abstraction wikiPageWikiLinkText "hypostasis".
- Hypostatic_abstraction wikiPageWikiLinkText "hypostatic abstraction".
- Hypostatic_abstraction wikiPageWikiLinkText "hypostatizes".
- Hypostatic_abstraction hasPhotoCollection Hypostatic_abstraction.
- Hypostatic_abstraction wikiPageUsesTemplate Template:Col-begin.
- Hypostatic_abstraction wikiPageUsesTemplate Template:Col-break.
- Hypostatic_abstraction wikiPageUsesTemplate Template:Col-end.
- Hypostatic_abstraction wikiPageUsesTemplate Template:Metaphysics.
- Hypostatic_abstraction wikiPageUsesTemplate Template:Philosophy_of_mind.
- Hypostatic_abstraction subject Category:Abstraction.
- Hypostatic_abstraction subject Category:Charles_Sanders_Peirce.
- Hypostatic_abstraction subject Category:Mathematical_analysis.
- Hypostatic_abstraction subject Category:Mathematical_logic.
- Hypostatic_abstraction subject Category:Mathematical_relations.
- Hypostatic_abstraction subject Category:Metaphysics.
- Hypostatic_abstraction hypernym Operation.
- Hypostatic_abstraction type Article.
- Hypostatic_abstraction type MilitaryConflict.
- Hypostatic_abstraction type Philosopher.
- Hypostatic_abstraction type Article.
- Hypostatic_abstraction type Concept.
- Hypostatic_abstraction type Field.
- Hypostatic_abstraction type Philosopher.
- Hypostatic_abstraction comment "Hypostatic abstraction in mathematical logic, also known as hypostasis or subjectal abstraction, is a formal operation that transforms a predicate into a relation; for example "Honey is sweet" is transformed into "Honey possesses sweetness".".
- Hypostatic_abstraction label "Hypostatic abstraction".
- Hypostatic_abstraction sameAs m.09tb32.
- Hypostatic_abstraction sameAs Q5961184.
- Hypostatic_abstraction sameAs Q5961184.
- Hypostatic_abstraction wasDerivedFrom Hypostatic_abstraction?oldid=582042811.
- Hypostatic_abstraction depiction Hypostasis-diagram.png.
- Hypostatic_abstraction isPrimaryTopicOf Hypostatic_abstraction.
