Philosophy Lexicon of Arguments

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Expansion, philosophy: when expanding theories it comes to the question whether a consistent theory remains consistent when it is expanded. Maximum consistent theories are not expandable. See also axioms, maximum consistent, theories, consistency, maximum.

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.

Author Item Summary Meta data
I 241f
Theory/Extension/Geach: For example, we add a predicate to T that allows us to distinguish between different tokens: T1. In the extended system T1, each complete sentence has the same truth conditions as in T, but the subordinate expressions (subsets) are completely changed: the quantifiers now suffice for the tokens, not the types. That is, "Exy" is no longer: "x is identical to y" but "x is a uniform token as the token y".
- "F": no anymore "__ contains two occurrences of "e"", but "__ contains two tokens ..." but not anymore: "twice the letter e" - (s) so not only the trivial: truth conditions for compound sentences (conditional) are shown in the table "((s)Vs: anyway not: because the table does not say what the case is) - E.g. truth conditions for whole sentences: in T: there are two non-identical types .. "in T1:" there are two non-uniform tokens ... ".

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 2018-06-25