Psychology Dictionary of ArgumentsHome
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| Continuum: The continuum in mathematics is a compact, connected, metric space. It is a mathematical concept that captures the idea of a continuous, unbroken whole. The real numbers, for example, are a continuum. See also Real numbers, Continuum hypothesis, Compactness._____________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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Luitzen E. J. Brouwer on Continuum - Dictionary of Arguments
Thiel I 347 Continuum/Brouwer: Brouwer sees the continuum, in contrast to Cantor, who regarded it as a finished infinite whole, and also in contrast to the French functional theorists and Weyl, who conceived it as a countable set of constructible elements, as a "medium of free development". Intuitively given, but not countable. >Countability, >Infinity, >Real numbers, cf. >Continuum hypothesis, >G. Cantor, >Numbers, >Number theory._____________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. |
Brouwer, L. E. J. T I Chr. Thiel Philosophie und Mathematik Darmstadt 1995 |
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