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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]]''.

'''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 [[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 [[Charles Sanders Peirce]] (CP 4.235, "The Simplest Mathematics" (1902), in ''Collected Papers'', CP 4.227–323).