set theory

How To Use set theory In A Sentence

• If is a model of Z (Zermelo set theory) with an external automorphism σ and an ordinal κ such that κ σ (κ), then Quine's New Foundations
• In the early 1900s it became clear that one has to state precisely what basic assumptions are made in Set Theory; in other words, the need has arisen to axiomatize Set Theory. Set Theory
• He also examined the consistency of certain propositions in Gödel's system of axiomatic set theory.
• Church thesis for fuzzy set theory claiming that the proposed notion of recursive enumerability for fuzzy subsets is the adequate one. Citizendium, the Citizens' Compendium - Recent changes [en]
• This faith in the indubitable certainty of mathematical proofs was sadly shaken around 1900 by the discovery of the antinomies or paradoxes of set theory.
• Tarski made important contributions in many areas of mathematics: set theory, measure theory, topology, geometry, classical and universal algebra, algebraic logic, various branches of formal logic and metamathematics.
• In 1874 Georg Cantor worked out a system of degrees of infinity that solved the problem once and for all and greatly increased mathematicians' understanding of infinity and set theory.
• Rough Set Theory is another mathematical tool used for dealing with fuzzy and uncertain knowledge besides Probability Theory, Fuzzy Set Theory and Evidence Theory.
• Sym (V) is also a model of set theory with set of atoms A, and Ï induces an automorphism of Sym (V). The Axiom of Choice
• Rather, the coherence of set theory is presupposed by much of the foundational activity in contemporary mathematics.