Philosophy Dictionary of ArgumentsHome
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| Infinity, infinite, philosophy: the result of a procedure that never ends, e.g. counting or dividing, or e.g. the continued description of a circular motion. In lifeworld contexts, infinitely continued processes such as infinite repetition or never-ending waiting are at least not logically contradictory. A formation rule does not have to exist for an infinite continuation to occur, as is the case, for example, with the development of the decimal places of real numbers. See also limits, infinity axiom, repetition, finitism, numbers, complex/complexity._____________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 Infinity - Dictionary of Arguments
I 93 Infinity/Existence/Field: thesis: there are an infinite number of physical entities: infinitely many spacetime regions. ((s) physical/(s) is not the same as material). I 99 Modal knowledge/Field: E.g. via an infinite conjunction. - The knowledge shortens the infinite conjunction. >Knowledge, >Conjunction, >Generalization, >Modalities, >Modal logic._____________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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Ed. Martin Schulz, access date 2024-04-18