set-theoretic statement

  • 51Logical conjunction — ∧ redirects here. For exterior product, see exterior algebra. Venn diagram of …

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  • 52Algebraic structure — In algebra, a branch of pure mathematics, an algebraic structure consists of one or more sets closed under one or more operations, satisfying some axioms. Abstract algebra is primarily the study of algebraic structures and their properties. The… …

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  • 53Tychonoff's theorem — For other theorems named after Tychonoff, see Tychonoff s theorem (disambiguation). In mathematics, Tychonoff s theorem states that the product of any collection of compact topological spaces is compact. The theorem is named after Andrey… …

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  • 54Axiomatic system — In mathematics, an axiomatic system is any set of axioms from which some or all axioms can be used in conjunction to logically derive theorems. A mathematical theory consists of an axiomatic system and all its derived theorems. An axiomatic… …

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  • 55Logical disjunction — Disjunction redirects here. For separation of chromosomes, see Meiosis. For disjunctions in distribution, see Disjunct distribution. Venn diagram of the logical disjunction of A and B …

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  • 56Mathematics — Maths and Math redirect here. For other uses see Mathematics (disambiguation) and Math (disambiguation). Euclid, Greek mathematician, 3r …

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  • 57List of statements undecidable in ZFC — The following is a list of mathematical statements that are undecidable in ZFC (the Zermelo–Fraenkel axioms plus the axiom of choice), assuming that ZFC is consistent.Functional analysisCharles Akemann and Nik Weaver showed in 2003 that the… …

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  • 58Ramsey's theorem — This article goes into technical details quite quickly. For a slightly gentler introduction see Ramsey theory. In combinatorics, Ramsey s theorem states that in any colouring of the edges of a sufficiently large complete graph (that is, a simple… …

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  • 59Propositional formula — In propositional logic, a propositional formula is a type of syntactic formula which is well formed and has a truth value. If the values of all variables in a propositional formula are given, it determines a unique truth value. A propositional… …

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  • 60Robinson arithmetic — In mathematics, Robinson arithmetic, or Q, is a finitely axiomatized fragment of Peano arithmetic (PA), first set out in Robinson (1950). Q is essentially PA without the axiom schema of induction. Even though Q is much weaker than PA, it is still …

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