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, Godel’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.
€55.49
购买此电子书可免费获赠一本！
语言 英语 ● 格式 PDF ● 网页 248 ● ISBN 9781483257976 ● 出版者 Elsevier Science ● 发布时间 2014 ● 下载 3 时 ● 货币 EUR ● ID 5734296 ● 复制保护 Adobe DRM
需要具备DRM功能的电子书阅读器
来自同一作者的更多电子书 / 编辑
48,032 此类电子书
