In mathematical logic, a theory (also called a formal theory) is a set of sentences in a formal language. In most scenarios a deductive system is first...
13 KB (1,686 words) - 17:06, 22 April 2023
Andreevich; Maksimova, Larisa (2003). Problems in Set Theory, Mathematical Logic, and the Theory of Algorithms. New York: Springer. p. 52. ISBN 0306477122...
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Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory...
68 KB (8,331 words) - 11:57, 7 June 2024
This is a list of mathematical logic topics. For traditional syllogistic logic, see the list of topics in logic. See also the list of computability and...
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Set theory is the branch of mathematical logic that studies sets, which can be informally described as collections of objects. Although objects of any...
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the study of mathematics using mathematical methods to produce metatheories, or mathematical theories about other mathematical theories. Early investigations...
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mathematical logic, independence is the unprovability of a sentence from other sentences. A sentence σ is independent of a given first-order theory T...
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Proof theory is a major branch of mathematical logic and theoretical computer science within which proofs are treated as formal mathematical objects, facilitating...
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Mathematical Logic, John Wiley and Sons, 1967. F. R. Drake, Set theory: An introduction to large cardinals (1974) Rogers, R. L., Mathematical Logic and...
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with that property. Computability theory is closely related to the branch of mathematical logic called recursion theory, which removes the restriction of...
18 KB (2,168 words) - 20:24, 5 June 2024