Mathematical Logic and Formalized Theories
eBook - PDF

Mathematical Logic and Formalized Theories

A Survey of Basic Concepts and Results

  1. 248 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Mathematical Logic and Formalized Theories

A Survey of Basic Concepts and Results

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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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 one million books available in our catalogue for you to explore.

Information

Publisher
North Holland
Year
2014
Print ISBN
9780720420982
eBook ISBN
9781483257976
Edition
2
Topic
Mathematics
Subtopic
Logic in Mathematics
Index
Mathematics

Table of contents

  1. Front Cover
  2. Mathematical logic and Formalized Theories: A Survey of Basic Concepts and Results
  3. Copyright Page
  4. Table of Contents
  5. Dedication
  6. PREFACE
  7. CHAPTER I. THE SENTENTIAL LOGIC
  8. CHAPTER II. THE FIRST-ORDER PREDICATE LOGIC: I
  9. CHAPTER III. THE FIRST-ORDER PREDICATE LOGIC: II
  10. CHAPTER IV. THE SECOND-ORDER PREDICATE LOGIC.THEORY OF DEFINITION
  11. CHAPTER VI. THE REAL NUMBERS
  12. CHAPTER VII. AXIOMATIC SET THEORY
  13. CHAPTER VIIII. NCOMPLETENESS. UNDECIDABILITY
  14. AUTHOR INDEX
  15. SUBJECT INDEX