Philosophy 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. | |||
Author | Concept | Summary/Quotes | Sources |
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Stephen Leeds on Continuum Hypothesis - Dictionary of Arguments
I 376/377 Cardinality of the continuum/Leeds: (= the point at which we distinguish between sets and classes) - Leeds: here there seems to be something that we want to leave open. >Sets, >Classes, >Set theory, >Continuum, >Real numbers._____________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. |
Leeds I Stephen Leeds "Theories of Reference and Truth", Erkenntnis, 13 (1978) pp. 111-29 In Truth and Meaning, Paul Horwich, Aldershot 1994 |