Mathematical Logic and Formalized Theories (PDF)
A Survey of Basic Concepts and Results
(Sprache: Englisch)
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...
The manuscript first elaborates on sentential logic and first-order...
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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.
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.
Bibliographische Angaben
- Autor: Robert L. Rogers
- 2014, 2. Auflage, 248 Seiten, Englisch
- Verlag: Elsevier Science & Techn.
- ISBN-10: 1483257975
- ISBN-13: 9781483257976
- Erscheinungsdatum: 12.05.2014
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- Grösse: 13 MB
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