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Proof theory

  • 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...

  • Proof Theoryby Katalin Bimbo

    Taylor and Francis 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...

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

    Springer 2012; US$ 89.95

    aiThe theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, psychology. The square can also be generalized in other two-dimensional or multi-dimensional... more...

  • Logic in algebraic formby William Craig

    Elsevier Science 2000; US$ 260.00

    Provability, Computability and Reflection more...

  • The Nuts and Bolts of Proofsby Antonella Cupillari

    Elsevier Science 2011; US$ 49.95

    The Nuts and Bolts of Proofs instructs students on the primary basic logic of mathematical proofs, showing how proofs of mathematical statements work. The text provides basic core techniques of how to read and write proofs through examples. The basic mechanics of proofs are provided for a methodical approach in gaining an understanding of the fundamentals... 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...

  • Proof, Logic and Formalizationby Michael Detlefsen

    Taylor and Francis 2005; US$ 155.00

    A collection of essays from distinguished contributors looking at why it is that mathematical proof is given precedence over other forms of mathematical justification. more...