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Proof theory

  • Proof and Proving in Mathematics Educationby

    Springer Netherlands 2012; US$ 219.00

    Proof and Proving in Mathematics Education argues that deductive reasoning and proof should be integral parts of any mathematics curriculum. It identifies the resources teachers needed to enact such instruction, and facilitates the design of teacher education and development programs that provide them. more...

  • Tracking Reasonby Jody Azzouni

    Oxford University Press 2006; US$ 23.99

    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...

  • There's Something About Gdelby Francesco Berto

    John Wiley & Sons 2009; US$ 99.95

    Berto’s highly readable and lucid guide introduces students and the interested reader to Gödel’s celebrated Incompleteness Theorem , and discusses some of the most famous - and infamous - claims arising from Gödel's arguments. Offers a clear understanding of this difficult subject by presenting each of the key steps of the ... 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    This book collects previously unpublished papers exploring the theory of oppositions based on Aristotelian foundations of logic, reflecting renewed interest and challenging re-interpretations which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...

  • Proof Theoryby Katalin Bimbo

    CRC Press 2014; US$ 89.95

    Although sequent calculi constitute an important category of proof systems, they are not as well known as axiomatic and natural deduction systems. Addressing this deficiency, Proof Theory: Sequent Calculi and Related Formalisms presents a comprehensive treatment of sequent calculi, including a wide range of variations. It focuses on sequent calculi... 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

    Identifies the important topics in logic that mathematicians use in their proofs Methodically presents the key strategies used in mathematical proofs Each proof strategy is illustrated by a variety of theorems concerning the natural, rational and real numbers An introduction to group theory and real analysis that presents proof strategies for dealing... 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...