| 单词 | continuum hypothesis |
| 释义 | > as lemmascontinuum hypothesis continuum hypothesis n. Mathematics the hypothesis that there is no transfinite cardinal between the cardinal of the set of positive integers and that of the set of real numbers. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > branch or theory relating to syntax1861 set theory1936 continuum hypothesis1938 1938 Proc. National Acad. Sci. U.S.A. 24 101 The continuum hypothesis of Georg Cantor. 1953 A. A. Fraenkel Abstract Set Theory ii. 152 The assumption that, for every transfinite t, 2t is the cardinal next larger than t, is called the generalized continuum hypothesis. 1964 Proc. National Acad. Sci. U.S.A. 51 109 Since our additional axiom is quite readily acceptable to most mathematicians..one can regard the unprovability of the Continuum Hypothesis as firmly estabished. < as lemmas |
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