axiom of constructibility

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• Axiom of constructibility — The axiom of constructibility is a possible axiom for set theory in mathematics that asserts that every set is constructible. The axiom is usually written as : V = L , where V and L denote the von Neumann universe and the constructible universe,… …   Wikipedia

• Axiom of choice — This article is about the mathematical concept. For the band named after it, see Axiom of Choice (band). In mathematics, the axiom of choice, or AC, is an axiom of set theory stating that for every family of nonempty sets there exists a family of …   Wikipedia

• Axiom of global choice — In class theories, the axiom of global choice is a stronger variant of the axiom of choice which applies to proper classes as well as sets. Statement The axiom can be expressed in various ways which are equivalent: Weak form: Every class of… …   Wikipedia

• Constructible universe — Gödel universe redirects here. For Kurt Gödel s cosmological solution to the Einstein field equations, see Gödel metric. In mathematics, the constructible universe (or Gödel s constructible universe), denoted L, is a particular class of sets… …   Wikipedia

• Continuum hypothesis — This article is about the hypothesis in set theory. For the assumption in fluid mechanics, see Fluid mechanics. In mathematics, the continuum hypothesis (abbreviated CH) is a hypothesis, advanced by Georg Cantor in 1877[citation needed], about… …   Wikipedia

• Morass (set theory) — For the variety of wetland, see marsh. In axiomatic set theory, a mathematical discipline, a morass is an infinite combinatorial structure, used to create large structures from a small number of small approximations. They were invented by Ronald… …   Wikipedia

• Zermelo–Fraenkel set theory — Zermelo–Fraenkel set theory, with the axiom of choice, commonly abbreviated ZFC, is the standard form of axiomatic set theory and as such is the most common foundation of mathematics.ZFC consists of a single primitive ontological notion, that of… …   Wikipedia

• List of axioms — This is a list of axioms as that term is understood in mathematics, by Wikipedia page. In epistemology, the word axiom is understood differently; see axiom and self evidence. Individual axioms are almost always part of a larger axiomatic… …   Wikipedia

• List of mathematics articles (A) — NOTOC A A Beautiful Mind A Beautiful Mind (book) A Beautiful Mind (film) A Brief History of Time (film) A Course of Pure Mathematics A curious identity involving binomial coefficients A derivation of the discrete Fourier transform A equivalence A …   Wikipedia

• List of first-order theories — In mathematical logic, a first order theory is given by a set of axioms in somelanguage. This entry lists some of the more common examples used in model theory and some of their properties. PreliminariesFor every natural mathematical structure… …   Wikipedia

• Universo constructible — En teoría de conjuntos, el universo constructible, también denominado jerarquía constructible o universo constructible de Gödel y que se denota por L, es una clase de conjuntos que pueden ser descritos en términos de conjuntos más simples , los… …   Wikipedia Español