单词 | many-valued |
释义 | > as lemmasmany-valued many-valued adj. (a) Mathematics (of a function) having more than one value for some or all of its arguments; that maps to more than one point, number, etc.; (b) Logic designating a logic in which a proposition can be assigned any of three or more values, rather than being restricted to those of truth and falsity. ΘΚΠ the mind > mental capacity > philosophy > logic > logical truth > [adjective] > characterized by truth values many-valued1893 multiform1893 two-valued1918 three-valued1932 pluri-valued1937 1893 J. Harkness & F. Morley Treat. Theory Functions i. 36 (heading) Examples of many-valued functions. 1934 Philos. Sci. 1 118 A many-valued system of logic is a code of inference which endows propositions with truth values intermediate between true and false. 1936 Mind 45 273 His probability logic is a many-valued logic. 1963 R. Dickerson in H. W. Baade Jurimetrics 63 The potential usefulness of many-valued logic for building mathematical models helpful in dealing with problems of vagueness. 1989 W. Gellert et al. VNR Conc. Encycl. Math. (ed. 2) 79 In the domain of complex numbers the symbol n√z is not restricted to a single value, but is many-valued. < as lemmas |
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