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Proof theory

  • Tracking Reasonby Jody Azzouni

    Oxford University Press 2006; US$ 27.99

    When ordinary people - mathematicians among them - take something to follow (deductively) from something else, they are exposing the backbone of our self-ascribed ability to reason. This book investigates the connection between that ordinary notion of consequence and the formal analogues invented by logicians. more...

  • The Moment of Proofby Donald C. Benson

    Oxford University Press, USA 2000; US$ 22.99

    When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying "eureka!" In The Moment of Proof, Donald Benson attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant proof.... more...

  • Around and Beyond the Square of Oppositionby Jean-Yves Beziau; Dale Jacquette

    Springer Basel 2012; US$ 89.95

    This book collects previously unpublished papers exploring the theory of oppositions based on Aristotelian foundations of logic, reflecting renewed interest and challenging re-interpretations which extend the original theory in breadth and depth. more...

  • Handbook of Proof Theoryby S.R. Buss

    Elsevier Science 1998; US$ 235.00

    This volume contains articles covering a broad spectrum of proof theory, with an emphasis on its mathematical aspects. The articles should not only be interesting to specialists of proof theory, but should also be accessible to a diverse audience, including logicians, mathematicians, computer scientists and philosophers. Many of the central topics... more...

  • Logic in algebraic formby William Craig

    Elsevier Science 2000; US$ 275.00

    Provability, Computability and Reflection more...

  • A Logical Introduction to Proofby Daniel Cunningham

    Springer New York 2012; US$ 59.95

    This unique textbook uses a ?logic-first? approach to train and guide undergraduates through transition courses bridging calculus and advanced mathematics. It also offers a valuable introduction to group theory and real analysis, including proof strategies. more...

  • The Nuts and Bolts of Proofsby Antonella Cupillari

    Elsevier Science 2011; US$ 49.95

    The Nuts and Bolts of Proofs: An Introduction to Mathematical Proofs provides basic logic of mathematical proofs and shows how mathematical proofs work. It offers techniques for both reading and writing proofs. The second chapter of the book discusses the techniques in proving if/then statements by contrapositive and proofing by contradiction. It... more...

  • The Nuts and Bolts of Proofsby Antonella Cupillari

    Elsevier Science 2005; US$ 53.95

    The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically... more...

  • Logic for Concurrency and Synchronisationby R.J. De Queiroz

    Springer Netherlands 2006; US$ 209.00

    The study of information-based actions and processes has been a vibrant - terface between logic and computer science for several decades now. Indeed, several natural perspectives come together here. On the one hand, logical s- tems may be used to describe the dynamics of arbitrary computational p- cesses ? as in the many sophisticated process logics... more...

  • Proof, Logic and Formalizationby Michael Detlefsen

    Taylor and Francis 2005; US$ 54.95

    The mathematical proof is the most important form of justification in mathematics. It is not, however, the only kind of justification for mathematical propositions. The existence of other forms, some of very significant strength, places a question mark over the prominence given to proof within mathematics. This collection of essays, by leading figures... more...