hypostatic abstraction

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Hypostatic abstraction is a formal operation that takes an element of information, as expressed in a proposition $X\mathrm{is}Y,$ and conceives its information to consist in the relation between that subject and another subject, as expressed in the proposition $X\mathrm{has}Y-\mathrm{ness}.$ The existence of the abstract subject $Y-\mathrm{ness}$ 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 one given by Charles Sanders Peirce (CP 4.235). 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 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 predicate “is sweet”, decants the higher-arity predicate “possesses”, and precipitates the substantive “sweetness” in the role of its correlative subject.

1 References and further reading

• Peirce, Charles Sanders (1902), “The Simplest Mathematics”, CP 4.227–323 in 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. Cited as (CP volume.paragraph).

• Zeman, J. Jay (1982), “Peirce on Abstraction”, The Monist, 65 (1982), 211–229. Reprinted, pp. 293–311 in The Relevance of Charles Peirce, Eugene Freeman (ed.), Monist Library of Philosophy, La Salle, IL, 1983. http://web.clas.ufl.edu/users/jzeman/peirce_on_abstraction.htmOnline.

Title	hypostatic abstraction
Canonical name	HypostaticAbstraction
Date of creation	2013-03-22 17:54:01
Last modified on	2013-03-22 17:54:01
Owner	Jon Awbrey (15246)
Last modified by	Jon Awbrey (15246)
Numerical id	18
Author	Jon Awbrey (15246)
Entry type	Definition
Classification	msc 03B42
Classification	msc 03B30
Classification	msc 03B22
Classification	msc 03B15
Classification	msc 03A05
Classification	msc 00A30
Synonym	hypostasis
Synonym	objectification
Synonym	reification
Synonym	subjectal abstraction
Related topic	PrescisiveAbstraction
Related topic	ContinuousPredicate
Defines	abstract object
Defines	formal object
Defines	hypostatic object