Philosophy Lexicon of Arguments

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Abstraction: Subsumption of objects by non-consideration of certain properties. See also equivalence relation, concretion, concreta, indiscernibility.

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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 223
Abstraction / FregeVs: mere abstraction of differences does not create (identical) properties - Geach: E.g. Def "surmen" are identical if their surnames are identical - so that is actually a subset of people, but the same man when abstracted from differences - GeachVs: that would not explain the word "surman" - Solution / Quine: "Tangibility": properties had little sense when you used "red" etc. only as names of properties - GeachVsQuine: then we get all the problems with classes: E.g. "The property, to be a prop that does not apply to itself" - would be parallel to Russell’s antinomy.


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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 2017-10-24