单词 | finitary |
释义 | finitaryadj. Mathematics. Of methods, proofs, etc.: involving only a finite number of steps, a finite number of well-defined objects, and so on; capable of being completed within the concrete domain. 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 1952 S. C. Kleene Introd. Metamath. iii. 63 Methods, called finitary by the formalists, which employ only intuitively conceivable objects and performable processes. (We translate the German ‘finit’ as ‘finitary’, since the English ‘finite’ is used for the German ‘endlich’.) 1963 G. T. Kneebone Math. Logic vii. 205 We can now reformulate in finitary terms the usual arguments. 1965 A. S. Luchins & E. H. Luchins Logical Found. Math. ix. 145 Hilbert did not offer a precise specification of what procedures were regarded by him as finitary. This entry has not yet been fully updated (first published 1972; most recently modified version published online March 2021). < adj.1952 |
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