Economics Dictionary of ArgumentsHome
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| Abstraction: Subsumption of objects by non-consideration of certain properties. See also equivalence relation, concretion, concreta, indiscernibility._____________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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Peter Geach on Abstraction - Dictionary of Arguments
I 223 Abstraction/FregeVsAbstraction: 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 set when abstracted from differences. Problem/Geach: 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 property that does not apply to itself" - would be parallel to Russell’s antinomy. >Russell's Paradox, >Properites, >Sets, >Subsets, >Set theory, >Distinctions, >Equality, >Predicates, >Predication._____________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. Translations: Dictionary of Arguments The note [Concept/Author], [Author1]Vs[Author2] or [Author]Vs[term] resp. "problem:"/"solution:", "old:"/"new:" and "thesis:" is an addition from the Dictionary of Arguments. If a German edition is specified, the page numbers refer to this edition. |
Gea I P.T. Geach Logic Matters Oxford 1972 |
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> Counter arguments against Geach
> Counter arguments in relation to Abstraction
