mathematical logic

n 1. (Logic) symbolic logic, esp that branch concerned with the foundations of mathematics 2. (Mathematics) symbolic logic, esp that branch concerned with the foundations of mathematics

symbol′ic log′ic

n. a modern development of formal logic employing a special notation or symbolism capable of manipulation in accordance with precise rules. Also called mathematical logic.

Thesaurus

Noun

mathematical logic - any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validityformal logic, symbolic logiclogical system, system of logic, logic - a system of reasoningBoolean algebra, Boolean logic - a system of symbolic logic devised by George Boole; used in computerspropositional calculus, propositional logic - a branch of symbolic logic dealing with propositions as units and with their combinations and the connectives that relate themfunctional calculus, predicate calculus - a system of symbolic logic that represents individuals and predicates and quantification over individuals (as well as the relations between propositions)modal logic - a system of logic whose formal properties resemble certain moral and epistemological conceptsfuzzy logic - a form of mathematical logic in which truth can assume a continuum of values between 0 and 1

mathematical logic

mathematical logic:

see symbolic logicsymbolic logic
or mathematical logic,
formalized system of deductive logic, employing abstract symbols for the various aspects of natural language. Symbolic logic draws on the concepts and techniques of mathematics, notably set theory, and in turn has contributed to
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Mathematical Logic

a branch of logic that makes use of mathematical methods.

The use of formal languages with an exact syntax and precise semantics that unambiguously define the meaning of formulas is characteristic of mathematical logic. The need for such a logic arose in the early 20th century in connection with the intensive development of the foundations of mathematics, the emergence of set theory in which antinomies had been discovered, the refinement of the concept of an algorithm, as well as with other profound and fundamental problems of mathematical science. The importance of mathematical logic for science as a whole, however, is not exhausted by its mathematical applications, since all sciences require good reasoning and methods of proof. This is why mathematical logic can rightfully be called logic in its most recent development.

A. A. MARKOV

mathematical logic

[¦math·ə¦mad·ə·kəl ′läj·ik] (mathematics) The study of mathematical theories from the viewpoint of model theory, recursive function theory, proof theory, and set theory.

mathematical logic

noun

Synonyms for mathematical logic

noun any logical system that abstracts the form of statements away from their content in order to establish abstract criteria of consistency and validity

Synonyms

formal logic
symbolic logic

Related Words

logical system
system of logic
logic
Boolean algebra
Boolean logic
propositional calculus
propositional logic
functional calculus
predicate calculus
modal logic
fuzzy logic