Hypostatic abstraction - Wikipedia Hypostatic abstraction From Wikipedia, the free encyclopedia Jump to navigation Jump to search 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 has 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 abstract property 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 a predicative 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: The 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". See also[edit] Abstraction Abstraction in computing Abstraction in mathematics Analogy Category theory Continuous predicate Reification E-prime References[edit] Peirce, C.S., Collected Papers of Charles Sanders Peirce, vols. 1–6 (1931–1935), Charles Hartshorne and Paul Weiss, eds., vols. 7–8 (1958), Arthur W. Burks, ed., Cambridge, Massachusetts, Harvard University Press. External links[edit] J. 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Related topics Axiology Cosmology Epistemology Feminist metaphysics Interpretations of quantum mechanics Mereology Meta- Ontology Philosophy of mind Philosophy of psychology Philosophy of self Philosophy of space and time Teleology Theoretical physics Category  Philosophy portal Retrieved from "https://en.wikipedia.org/w/index.php?title=Hypostatic_abstraction&oldid=974470923" Categories: Abstraction Mathematical analysis Mathematical logic Mathematical relations Metaphysics Charles Sanders Peirce Navigation menu Personal tools Not logged in Talk Contributions Create account Log in Namespaces Article Talk Variants Views Read Edit View history More Search Navigation Main page Contents Current events Random article About Wikipedia Contact us Donate Contribute Help Learn to edit Community portal Recent changes Upload file Tools What links here Related changes Upload file Special pages Permanent link Page information Cite this page Wikidata item Print/export Download as PDF Printable version In other projects Wikiversity Languages हिन्दी Português Edit links This page was last edited on 23 August 2020, at 07:38 (UTC). 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