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Introduction to Elementary Mathematical Logic - Hardcover

 
9780262190541: Introduction to Elementary Mathematical Logic

Synopsis

This introduction covers the calculus of propositions as well as quantification theory. Presupposing no more than a familiarity with the most elementary principles of logic and mathematics, the book is accessible to the high-school student or the layman desiring a clear and straightforward presentation of the subject that will prepare him to take on the standard, more advanced texts. The book is carefully designed to be self-sufficient for purposes of self-study, and the exercises following the end of each section can be used by the student to gauge the level of his understanding: they serve as "feedback signals" that tell him if he should proceed or review the material just covered.

Of particular interest is the application of the logic of propositions to the analysis and synthesis of digital systems, which is presented at the end of the first of the three sections.

The first section develops the fundamentals of the logic of propositions. Taken up in turn are objects and operations; formulas, equivalent formulas, and identically true formulas; applications; normal and minimum forms of functions; and applications to digital systems.

The second section covers the calculus of propositions. Material is presented on the axiomatic approach, including the consistency, independence, and completeness of a system of axioms in the calculus of propositions.

The logic of predicates is the subject of the last section. It treats in some detail operations on sets, defects in the logic of propositions, operations on predicates, quantifiers, equivalent and generally valid formulas, aspects of traditional logic, equality relations, and the axiomatic derivation of the mathematical theory.

References to more advanced studies available in English are provided.

"synopsis" may belong to another edition of this title.

Language Notes

Text: English, Russian (translation)

"About this title" may belong to another edition of this title.

  • PublisherThe MIT Press
  • Publication date1971
  • ISBN 10 0262190540
  • ISBN 13 9780262190541
  • BindingHardcover
  • LanguageEnglish
  • Number of pages240

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Stolyar, A. A.
Published by MIT Press, 1971
ISBN 10: 0262190540 ISBN 13: 9780262190541
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ISBN 10: 0262190540 ISBN 13: 9780262190541
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Stolyar, Abram Aronovich
Published by The MIT Press, 1970
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8vo hardback with d/w, bookplate to front pastedown, neat ink owner name to ffep, previous owner has covered d/w with adhesive film, otherwise VG/VG.IF FURTHER DESCRIPTION NEEDED, PLEASE ENQUIRE (Shelf 202 Bx 3) ISBN: 0262190540 PLEASE NOTE: Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.** Pictures available upon request.** Visit our homepage for our shop opening hours. Over 20,000 books in stock - come and browse. PayPal, credit and most debit cards welcome. Books posted worldwide. For any queries please contact us direct. Seller Inventory # 23214

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