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Mathematical Logic and Formalized Theories

A Survey of Basic Concepts and Results

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Éditeur :

North Holland


Paru le : 2014-05-12



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Description
Mathematical Logic and Formalized Theories: A Survey of Basic Concepts and Results focuses on basic concepts and results of mathematical logic and the study of formalized theories. The manuscript first elaborates on sentential logic and first-order predicate logic. Discussions focus on first-order predicate logic with identity and operation symbols, first-order predicate logic with identity, completeness theorems, elementary theories, deduction theorem, interpretations, truth, and validity, sentential connectives, and tautologies. The text then tackles second-order predicate logic, as well as second-order theories, theory of definition, and second-order predicate logic F2. The publication takes a look at natural and real numbers, incompleteness, and the axiomatic set theory. Topics include paradoxes, recursive functions and relations, Gödel's first incompleteness theorem, axiom of choice, metamathematics of R and elementary algebra, and metamathematics of N. The book is a valuable reference for mathematicians and researchers interested in mathematical logic and formalized theories.
Pages
248 pages
Collection
n.c
Parution
2014-05-12
Marque
North Holland
EAN papier
9780720420982
EAN PDF SANS DRM
9781483257976
Informations sur l'ebook
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Prix
57,97 €

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