First Order Mathmatical Logic
Language: English
Published by Dover Publications, 1990
- Softcover
- Used
Seller: The Book Bin, Salem, OR, U.S.A.The Book Bin
AbeBooks seller since March 31, 1998
Condition: Used - Very good
US$ 5.00
Quantity: 1 available
Add to basketItem description from seller
This book is from an inventory that we have been able to price inexpensively because it has minimal description. All of the books from this inventory are in very good condition or better, with the potential for light shelf-wear; many are particularly nice examples. May have a small remainder mark at textblock edge.
Seller Inventory # WRM-B1005692
- Title
- First Order Mathmatical Logic
- Author
- Margaris, Angelo
- Publisher
- Dover Publications
- Publication year
- 1990
- Condition
- Very Good
- Binding
- paperback
- Language
- English
- ISBN 10
- 0486662691
- ISBN 13
- 9780486662695
- Item weight
- 10 ounces
- Dimensions
- 5x0x8
"Attractive and well-written introduction." — Journal of Symbolic Logic
The logic that mathematicians use to prove their theorems is itself a part of mathematics, in the same way that algebra, analysis, and geometry are parts of mathematics. This attractive and well-written introduction to mathematical logic is aimed primarily at undergraduates with some background in college-level mathematics; however, little or no acquaintance with abstract mathematics is needed.
Divided into three chapters, the book begins with a brief encounter of naïve set theory and logic for the beginner, and proceeds to set forth in elementary and intuitive form the themes developed formally and in detail later. In Chapter Two, the predicate calculus is developed as a formal axiomatic theory. The statement calculus, presented as a part of the predicate calculus, is treated in detail from the axiom schemes through the deduction theorem to the completeness theorem. Then the full predicate calculus is taken up again, and a smooth-running technique for proving theorem schemes is developed and exploited.
Chapter Three is devoted to first-order theories, i.e., mathematical theories for which the predicate calculus serves as a base. Axioms and short developments are given for number theory and a few algebraic theories. Then the metamathematical notions of consistency, completeness, independence, categoricity, and decidability are discussed, and the predicate calculus is proved to be complete. The book concludes with an outline of Godel's incompleteness theorem.
Ideal for a one-semester course, this concise text offers more detail and mathematically relevant examples than those available in elementary books on logic. Carefully chosen exercises, with selected answers, help students test their grasp of the material. For any student of mathematics, logic, or the interrelationship of the two, this book represents a thought-provoking introduction to the logical underpinnings of mathematical theory.
"An excellent text." — Mathematical Reviews
"Synopsis" may belong to another edition of this title.
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