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Mathematical Logic and Formalized Theories Book PDF Summary

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.

Detail Book of Mathematical Logic and Formalized Theories PDF

Mathematical Logic and Formalized Theories
  • Author : Robert L. Rogers
  • Release : 12 May 2014
  • Publisher : Elsevier
  • ISBN : 9781483257976
  • Genre : Mathematics
  • Total Page : 248 pages
  • Language : English
  • PDF File Size : 19,9 Mb

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