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# categorical proposition

In syllogistic, a proposition in which the predicate is affirmed or denied of all or part of the subject.

Thus, categorical propositions are of four basic forms: "Every S is P," "No S is P," "Some S is P," and "Some S is not P." These are designated by the letters A, E, I, and O, respectively; thus, "Every man is mortal" is an A-proposition. Categorical propositions are to be distinguished from compound and complex propositions, into which they can enter as integral terms. In particular, they contrast especially with hypothetical propositions, such as "If every man is mortal, then Socrates is mortal."

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logic
in syllogistic or traditional logic, a proposition or statement, in which the predicate is, without qualification, affirmed or denied of all or part of the subject. Thus, categorical propositions are of four basic forms: “Every S is P,” “No S is P,” “Some S is P,” and “Some S is not P.” These forms are designated by the letters A, E, I, and O, respectively, so that “Every man is mortal,” for example, is an A-proposition. Categorical propositions are to be distinguished from compound and complex propositions, into which they enter as integral terms; in particular, being assertions of fact rather than of logical connections, they contrast especially with hypothetical propositions, such as “If every man is mortal, then Socrates is mortal.”

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Universalium. 2010.

### Look at other dictionaries:

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• categorical proposition — Traditionally a proposition that is not a conditional . As with the affirmative and negative, modern opinion is wary of the distinction, since what appears categorical may vary with the choice of a primitive vocabulary and notation. Apparently… …   Philosophy dictionary

• categorical proposition — noun : a proposition having the verbal form of direct assertion or denial …   Useful english dictionary

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• Categorical — See:* Categorical imperative * Morley s categoricity theorem * Categorical data analysis * Categorical distribution * Categorical logic * Categorical syllogism * Categorical proposition * Categorization * Categorical perception * Category theory… …   Wikipedia

• proposition — Synonyms and related words: a priori principle, a priori truth, accost, advance, affair, affirmance, affirmation, allegation, announcement, annunciation, approach, apriorism, assertion, asseveration, assumed position, assumption, attempt,… …   Moby Thesaurus

• Categorical imperative — Part of a series on Immanue …   Wikipedia

• categorical — categorically, adv. categoricalness, n. /kat i gawr i keuhl, gor /, adj. 1. without exceptions or conditions; absolute; unqualified and unconditional: a categorical denial. 2. Logic. a. (of a proposition) analyzable into a subject and an… …   Universalium

• categorical — cat•e•gor•i•cal [[t]ˌkæt ɪˈgɔr ɪ kəl, ˈgɒr [/t]] also cat e•gor′ic adj. 1) without exceptions or conditions; absolute: a categorical denial[/ex] 2) pho logic a) (of a proposition) analyzable into a subject and an attribute related by a copula, as …   From formal English to slang

• categorical — /kætəˈgɒrɪkəl / (say katuh gorikuhl) adjective 1. not involving a condition, qualification, etc.; explicit; direct: a categorical answer. 2. Logic (of a proposition) unconditional, straightforwardly true or false. 3. of, relating to, or in a… …   Australian English dictionary