| 单词 | universal set |
| 释义 | > as lemmasuniversal set universal set n. Logic and Mathematics a set consisting of all possible entities or all entities under consideration, of which all other sets are subsets; cf. universe of discourse n. at universe n. Phrases. ΘΚΠ the world > relative properties > number > mathematics > [noun] > mathematical enquiry > element(s) in factorage1818 composant1828 universal set1933 the mind > mental capacity > philosophy > logic > predicate or propositional logic > [noun] > set theory or extension > (specific) sets intersection1909 Russell set1957 universal set2004 1910 A. N. Whitehead & B. Russell Principia Mathematica I. i. 30 The class determined by a function which is always true is called the universal class, and is represented by V.] 1933 A. A. Albert in Ann. Math. 34 875 In particular Σ will be called a universal set if it represents all positive integers. 1965 S. Lipschutz Outl. Theory & Probl. Gen. Topol. i. 2 In any application of the theory of sets, all sets under investigation are subsets of a fixed set. We call this set the universal set or universe of discourse. 1975 I. Stewart Concepts Mod. Math. iv. 57 In any particular problem, the sets one is concerned with often lie inside some reasonably small universal set. 2004 Bull. Symbolic Logic 10 505 In modern texts..they usually take the opposite tack, showing that there is no universal set by reductio to Russell's Paradox. < as lemmas |
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