Psychology Dictionary of ArgumentsHome
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| Continuum hypothesis: The continuum hypothesis is a statement in mathematics that says that there is no set of real numbers whose cardinality is strictly between that of the integers and that of the real numbers. In other words, there are no sets of real numbers that are bigger than the set of integers but smaller than the set of real numbers. See also Continuum, Real numbers, Sets, Set theory._____________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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Bertrand Russell on Continuum Hypothesis - Dictionary of Arguments
I XXIII Def continuum hypothesis/Gödel: (generalized): no cardinal number exists between the potency of some arbitrary set and power set of the set of its subsets. >Power set, >Set, >Set theory, >Subsets, >Continuum._____________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. |
Russell I B. Russell/A.N. Whitehead Principia Mathematica Frankfurt 1986 Russell II B. Russell The ABC of Relativity, London 1958, 1969 German Edition: Das ABC der Relativitätstheorie Frankfurt 1989 Russell IV B. Russell The Problems of Philosophy, Oxford 1912 German Edition: Probleme der Philosophie Frankfurt 1967 Russell VI B. Russell "The Philosophy of Logical Atomism", in: B. Russell, Logic and KNowledge, ed. R. Ch. Marsh, London 1956, pp. 200-202 German Edition: Die Philosophie des logischen Atomismus In Eigennamen, U. Wolf (Hg), Frankfurt 1993 Russell VII B. Russell On the Nature of Truth and Falsehood, in: B. Russell, The Problems of Philosophy, Oxford 1912 - Dt. "Wahrheit und Falschheit" In Wahrheitstheorien, G. Skirbekk (Hg), Frankfurt 1996 |
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> Counter arguments against Russell
> Counter arguments in relation to Continuum Hypothesis
