# First Order Mathematical Logic (Dover Books on Mathematics)

## Angelo Margaris

Valutazione media 3,5
( su 4 valutazioni fornite da Goodreads )

"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

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## 1.First Order Mathematical Logic

ISBN 10: 0486662691 ISBN 13: 9780486662695
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Descrizione libro 1990. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. Established seller since 2000. Codice libro della libreria V0-9780486662695

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## 2.First Order Mathematical Logic Format: Trade Paper

Editore: Dover Publishers
ISBN 10: 0486662691 ISBN 13: 9780486662695
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Descrizione libro Dover Publishers. Condizione libro: New. Brand New. Codice libro della libreria 0486662691

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## 3.First Order Mathematical Logic (Paperback)

Editore: Dover Publications Inc., United States (1990)
ISBN 10: 0486662691 ISBN 13: 9780486662695
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Descrizione libro Dover Publications Inc., United States, 1990. Paperback. Condizione libro: New. Reprint. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. -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 naive 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. Codice libro della libreria BTE9780486662695

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## 4.First Order Mathematical Logic (Dover Books on Mathematics)

Editore: Dover Publications
ISBN 10: 0486662691 ISBN 13: 9780486662695
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Descrizione libro Dover Publications. PAPERBACK. Condizione libro: New. 0486662691 *BRAND NEW* Ships Same Day or Next!. Codice libro della libreria NATARAJB1FI996971

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## 5.First Order Mathematical Logic

Editore: Dover Publications, Inc.
ISBN 10: 0486662691 ISBN 13: 9780486662695
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Descrizione libro Dover Publications, Inc. Condizione libro: New. pp. 212. Codice libro della libreria 7114068

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## 6.Dover Books on Mathematics: First Order Mathematical Logic

ISBN 10: 0486662691 ISBN 13: 9780486662695
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Descrizione libro Condizione libro: Brand New. Book Condition: Brand New. Codice libro della libreria 97804866626951.0

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## 7.First Order Mathematical Logic (Dover Books on Mathematics)

Editore: Dover Publications (1990)
ISBN 10: 0486662691 ISBN 13: 9780486662695
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Descrizione libro Dover Publications, 1990. Paperback. Condizione libro: New. Codice libro della libreria DADAX0486662691

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## 8.First Order Mathematical Logic (Dover Books on Mathematics)

Editore: Dover Publications (1990)
ISBN 10: 0486662691 ISBN 13: 9780486662695
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Descrizione libro Dover Publications, 1990. Paperback. Condizione libro: New. book. Codice libro della libreria 0486662691

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## 9.First Order Mathematical Logic

Editore: Dover Pubns (1990)
ISBN 10: 0486662691 ISBN 13: 9780486662695
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Descrizione libro Dover Pubns, 1990. Paperback. Condizione libro: Brand New. reprint edition. 212 pages. 8.50x5.50x0.75 inches. In Stock. Codice libro della libreria zk0486662691

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## 10.First Order Mathematical Logic (Dover Books on Mathematics)

Editore: Dover Publications (1990)
ISBN 10: 0486662691 ISBN 13: 9780486662695
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Descrizione libro Dover Publications, 1990. Paperback. Condizione libro: New. Codice libro della libreria P110486662691

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