Philosophy Lexicon of Arguments

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Presuppositions: are silent assumptions, which are contained in utterances. These assumptions are suggested by the context or conventions. E.g. "All my children sleep" presupposes that I have children. (See A. von Stechow, "Schritte zur Satzsemantik", (26.06.2006) p. 80).

Annotation: The above characterizations of concepts are neither definitions nor exhausting presentations of problems related to them. Instead, they are intended to give a short introduction to the contributions below. – Lexicon of Arguments.

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I 82f
Presupposition/(Law of the) Excluded Middle/Geach: alleged counter-example against the sentence of the excluded middle: For example, from something that is not an animal, one might assume that it is neither true nor false that it is hungry. - So the predicate "animal" is presupposed. - Geach: presupposition is quite different from entailment: if "hungry" entails "animal" then: "non-animal" entails "not-hungry". - Problem: from a thing "not animal" would at the same time be hungry/non-hungry.
Definition hungry/Terminology: true of all that is hungry.
Definition not-hungry/terminology: true of everything of which "not-hungry" is true and "animal" is not true. - ((s) So no object since they cannot be "not-hungry".) Geach: Eliminates categorical differences of "hungry" and "animal".

Explanation of symbols: Roman numerals indicate the source, arabic numerals indicate the page number. The corresponding books are indicated on the right hand side. ((s)…): Comment by the sender of the contribution.

Gea I
P.T. Geach
Logic Matters Oxford 1972

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Ed. Martin Schulz, access date 2018-05-25