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Foundations of Logic and Mathematics

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This modem introduction to the foundations of logic, mathematics, and computer science answers frequent questions that mysteriously remain mostly unanswered in other texts: ¿ Why is the truth table for the logical implication so unintuitive? ¿ Why are there no recipes to design proofs? ¿ Where do these numerous mathematical rules come from? ¿ What are the applications of formal logic and abstract mathematics? ¿ What issues in logic, mathematics, and computer science still remain unresolved? Answers to such questions must necessarily present both theory and significant applica­ tions, which explains the length of the book. The text first shows how real life provides some guidance for the selection of axioms for the basis of a logical system, for instance, Boolean, classical, intuitionistic, or minimalistic logic. From such axioms, the text then derives de­ tailed explanations of the elements of modem logic and mathematics: set theory, arithmetic, number theory, combinatorics, probability, and graph theory, with applications to computer science. The motivation for such detail, and for the organization of the material, lies in a continuous thread from logic and mathematics to their uses in everyday life.

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9781461266235
  • Indbinding:
  • Paperback
  • Sideantal:
  • 436
  • Udgivet:
  • 13. oktober 2012
  • Størrelse:
  • 178x24x254 mm.
  • Vægt:
  • 815 g.
  • 8-11 hverdage.
  • 16. januar 2025
På lager
Forlænget returret til d. 31. januar 2025
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Beskrivelse af Foundations of Logic and Mathematics

This modem introduction to the foundations of logic, mathematics, and computer science answers frequent questions that mysteriously remain mostly unanswered in other texts: ¿ Why is the truth table for the logical implication so unintuitive? ¿ Why are there no recipes to design proofs? ¿ Where do these numerous mathematical rules come from? ¿ What are the applications of formal logic and abstract mathematics? ¿ What issues in logic, mathematics, and computer science still remain unresolved? Answers to such questions must necessarily present both theory and significant applica­ tions, which explains the length of the book. The text first shows how real life provides some guidance for the selection of axioms for the basis of a logical system, for instance, Boolean, classical, intuitionistic, or minimalistic logic. From such axioms, the text then derives de­ tailed explanations of the elements of modem logic and mathematics: set theory, arithmetic, number theory, combinatorics, probability, and graph theory, with applications to computer science. The motivation for such detail, and for the organization of the material, lies in a continuous thread from logic and mathematics to their uses in everyday life.

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