- implicitly definable formula
- неявно определимая формула
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
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
Beth definability — In mathematical logic, Beth definability states that for any two models A , B of a first order theory T in the language L ⊇ L, if A | L = B | L (where A | L is the reduct of A to L ) implies that for all tuples a of A , A ⊨ φ [ a ] if and only if … 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
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
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
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
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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
mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… … Universalium
Belief revision — is the process of changing beliefs to take into account a new piece of information. The logical formalization of belief revision is researched in philosophy, in databases, and in artificial intelligence for the design of rational agents.What… … Wikipedia
Europe, history of — Introduction history of European peoples and cultures from prehistoric times to the present. Europe is a more ambiguous term than most geographic expressions. Its etymology is doubtful, as is the physical extent of the area it designates.… … Universalium