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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Hartry Field on Abstraction - Dictionary of Arguments
I 158 Introduction/Abstract Objects/Abstraction/Wright: Thesis: Sets as well as directions and numbers are to be introduced by abstraction. >Introduction. I 157 Field: E.g.simple abstraction: it is suitable for us saying that our talk of directions refers to parallelism. - But that does not quite work accordingly for numbers as it does for non-numeric talk (and "non-set theory"). >Definitions, >Everyday language, >Reference, >Definitions/Frege. - - - III 24 Homomorphism/Field: (structure-preserving representation) is the bridge to find abstract counterparts to concrete statements ((s) observation statements). >Observation sentence. Semantic Ascent/Abstract Counterparts: we would always obtain the results without them. Field: we save a lot of time with this. >Semantic ascent._____________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. |
Field I H. Field Realism, Mathematics and Modality Oxford New York 1989 Field II H. Field Truth and the Absence of Fact Oxford New York 2001 Field III H. Field Science without numbers Princeton New Jersey 1980 Field IV Hartry Field "Realism and Relativism", The Journal of Philosophy, 76 (1982), pp. 553-67 In Theories of Truth, Paul Horwich, Aldershot 1994 |
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> Counter arguments against Field
> Counter arguments in relation to Abstraction
