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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P. Geach on Infinity - Dictionary of Arguments
I 166 Infinite(infinity/GeachVsFrege: mathematical infinity is not, as Frege thought, an infinity of "objective objects", but consists in the infinitely many possibilities of the human language -> Operationalism. Cf. See the discussion >Are there infinitely many possible sentences in a natura language?/Researchgate._____________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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Ed. Martin Schulz, access date 2024-04-19