Algebraic Methods of Mathematical Logic
eBook - PDF

Algebraic Methods of Mathematical Logic

  1. 210 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Algebraic Methods of Mathematical Logic

About this book

Algebraic Methods of Mathematical Logic focuses on the algebraic methods of mathematical logic, including Boolean algebra, mathematical language, and arithmetization. The book first offers information on the dialectic of the relation between mathematical and metamathematical aspects; metamathematico-mathematical parallelism and its natural limits; practical applications of methods of mathematical logic; and principal mathematical tools of mathematical logic. The text then elaborates on the language of mathematics and its symbolization and recursive construction of the relation of consequence. Discussions focus on recursive construction of the relation of consequence, fundamental descriptively-semantic rules, mathematical logic and mathematical language as a material system of signs, and the substance and purpose of symbolization of mathematical language. The publication examines expressive possibilities of symbolization; intuitive and mathematical notions of an idealized axiomatic mathematical theory; and the algebraic theory of elementary predicate logic. Topics include the notion of Boolean algebra based on joins, meets, and complementation, logical frame of a language and mathematical theory, and arithmetization and algebraization. The manuscript is a valuable reference for mathematicians and researchers interested in the algebraic methods of mathematical logic.

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Yes, you can access Algebraic Methods of Mathematical Logic by Ladislav Rieger in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.

Information

Publisher
Academic Press
Year
2014
Print ISBN
9781483231235
eBook ISBN
9781483270524
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Front Cover
  2. Algebraic Methods of Mathematical Logic
  3. Copyright Page
  4. Table of Contents
  5. Preface
  6. ERRATA
  7. Chapter 1. INTRODUCTION
  8. Chapter 2. THE LANGUAGE OF MATHEMATICS AND ITS SYMBOLIZATION
  9. Chapter 3. RECURSIVE CONSTRUCTION OF THE RELATION OF CONSEQUENCE
  10. Chapter 4. EXPRESSIVE POSSIBILITIES OF THE PRESENT SYMBOLIZATION
  11. Chapter 5. INTUITIVE AND MATHEMATICAL NOTIONS OF AN IDEALIZED AXIOMATIC MATHEMATICAL THEORY
  12. Chapter 6. THE ALGEBRAIC THEORY OF ELEMENTARY PREDICATE LOGIC
  13. Chapter 7. FOUNDATIONS OF THE ALGEBRAIC THEORY OF LOGICAL SYNTAX
  14. Chapter 8. ALGEBRAIC LAWS OF SEMANTICS OF FIRST-ORDER PREDICATE LOGIC
  15. Bibliography
  16. Index