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implicitly definable set

См. также в других словарях:

  • Arithmetical set — In mathematical logic, an arithmetical set (or arithmetic set) is a set of natural numbers that can be defined by a formula of first order Peano arithmetic. The arithmetical sets are classified by the arithmetical hierarchy.A function f:subseteq… …   Wikipedia

  • Internal set theory — (IST) is a mathematical theory of sets developed by Edward Nelson which provides an axiomatic basis for a portion of the non standard analysis introduced by Abraham Robinson. Instead of adding new elements to the real numbers, the axioms… …   Wikipedia

  • Structure (mathematical logic) — In universal algebra and in model theory, a structure consists of a set along with a collection of finitary operations and relations which are defined on it. Universal algebra studies structures that generalize the algebraic structures such as… …   Wikipedia

  • Peano axioms — In mathematical logic, the Peano axioms, also known as the Dedekind Peano axioms or the Peano postulates, are a set of axioms for the natural numbers presented by the 19th century Italian mathematician Giuseppe Peano. These axioms have been used… …   Wikipedia

  • Evert Willem Beth — (July 7, 1908 ndash; April 12, 1964) was a Dutch philosopher and logician, whose work principally concerned the foundations of mathematics. Biography Beth was born in Almelo, a small town in the eastern Netherlands. His father had studied… …   Wikipedia

  • Plato: ethics and politics — A.W.Price I Plato followed his teacher Socrates into ethics by way of a question that remained central in Greek thought: what is the relation between the virtues or excellences (aretai) of character, and happiness (eudaimonia)?1 Both concepts… …   History of philosophy

  • List of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

  • History of the Church-Turing thesis — This article is an extension of the history of the Church Turing thesis.The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… …   Wikipedia

  • History of the Church–Turing thesis — This article is an extension of the history of the Church–Turing thesis. The debate and discovery of the meaning of computation and recursion has been long and contentious. This article provides detail of that debate and discovery from Peano s… …   Wikipedia

  • Outline of algebraic structures — In universal algebra, a branch of pure mathematics, an algebraic structure is a variety or quasivariety. Abstract algebra is primarily the study of algebraic structures and their properties. Some axiomatic formal systems that are neither… …   Wikipedia

  • Integer sequence — In mathematics, an integer sequence is a sequence (i.e., an ordered list) of integers. An integer sequence may be specified explicitly by giving a formula for its nth term, or implicitly by giving a relationship between its terms. For example,… …   Wikipedia

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