eBook - PDF
Mathematical Logic and Formalized Theories
A Survey of Basic Concepts and Results
- 248 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
About this book
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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Table of contents
- Front Cover
- Mathematical logic and Formalized Theories: A Survey of Basic Concepts and Results
- Copyright Page
- Table of Contents
- Dedication
- PREFACE
- CHAPTER I. THE SENTENTIAL LOGIC
- CHAPTER II. THE FIRST-ORDER PREDICATE LOGIC: I
- CHAPTER III. THE FIRST-ORDER PREDICATE LOGIC: II
- CHAPTER IV. THE SECOND-ORDER PREDICATE LOGIC.THEORY OF DEFINITION
- CHAPTER VI. THE REAL NUMBERS
- CHAPTER VII. AXIOMATIC SET THEORY
- CHAPTER VIIII. NCOMPLETENESS. UNDECIDABILITY
- AUTHOR INDEX
- SUBJECT INDEX
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Yes, you can access Mathematical Logic and Formalized Theories by Robert L. Rogers in PDF and/or ePUB format, as well as other popular books in Mathematics & Logic in Mathematics. We have over 1.5 million books available in our catalogue for you to explore.