First Order Mathematical Logic

Angelo Margaris

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Lingua: inglese

Editore: Dover Publications Inc., 2003

0486662691 / 9780486662695

Da: World of Books Inc, Montgomery, IL, U.S.A.World of Books Inc

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Venditore AbeBooks dal 23 marzo 2026

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Attractive and well-written introduction. -- Journal of Symbolic LogicThe 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 na ve 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 articolo CIN0486662691A

Titolo
First Order Mathematical Logic
Autore
Angelo Margaris
Editore
Dover Publications Inc.
Anno di pubblicazione
2003
Condizione
Fair
Rilegatura
Paperback
Lingua
inglese
ISBN 10
0486662691
ISBN 13
9780486662695

World of Books Inc

Montgomery, IL, U.S.A.

Venditore con 4 stelle

Venditore AbeBooks dal 23 marzo 2026

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ArticoloDa 4 a 12 giorni lavorativiDa 3 a 6 giorni lavorativi
Primo articoloEUR 0,00EUR 9,76
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Founded in 2002, World of Books is a leading online destination for buying and selling both preloved and new books, committed to making sustainable reading accessible to all. With a mission to help people read more and waste less, World of Books offers a huge range of affordable, high-quality books — giving both new and preloved titles a second life. The company also operates World of Books – Sell Your Books, an easy-to-use platform that allows customers to trade in unwanted books for cash, helping to keep books in circulation while promoting sustainability. As a Certified B Corp, World of Books is driven by a vision to become the world’s largest and most sustainable dedicated online bookstore. The company measures its success through the positive environmental impact it creates, the value it provides to customers, and its ability to operate profitably while supporting its sustainable mission …

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