Mathematical Logic and Formalized Theories

Mathematical Logic and Formalized Theories
Author :
Publisher : Elsevier
Total Pages : 248
Release :
ISBN-10 : 9781483257976
ISBN-13 : 1483257975
Rating : 4/5 (975 Downloads)

Book Synopsis Mathematical Logic and Formalized Theories by : Robert L. Rogers

Download or read book Mathematical Logic and Formalized Theories written by Robert L. Rogers and published by Elsevier. This book was released on 2014-05-12 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


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