单词 | cantorian |
释义 | > as lemmasCanˈtorian Canˈtorian adj. (also Canˈtorean) of or pertaining to Cantor or his work; having the attributes of a Cantor set. ΘΚΠ the world > relative properties > number > mathematics > [adjective] > characterized by theories of or approaches to physico-mathematical1660 analytical1694 Bernoulli1749 analytic1761 Boolean1851 Sturmian1853 Bernoullian1876 Fermatian1887 Grassmannian1894 number-theoretic1899 Cantor1902 Cantorian1912 Tauberian1913 Thiessen1923 intuitionist1926 metamathematical1926 finitist1931 number-theoretical1936 finitistic1937 proof-theoretic1940 formalistic1941 Gödelian1942 constructivist1943 constructivistic1944 game-theoretical1946 game-theoretic1950 finitary1952 perturbation-theoretic1964 perturbation-theoretical1968 constructive1979 1912 A. N. Whitehead & B. Russell Principia Mathematica II. v. 614 A compact Dedekindian series is said to possess ‘Dedekindian continuity’; such series have many important properties. They are a wider class than series possessing Cantorian continuity. 1946 Mind 55 367 His theory made it impossible to prove the existence of the continuum and thus curtailed the Cantorean theory of sets. 1963 W. V. Quine Set Theory 294 Classes that are not Cantorian behave unconventionally. 1982 W. S. Hatcher Logical Found. Math. vii. 225 A set x is ‘Cantorian’ if it is similar to its set of unit subsets. < as lemmas |
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