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Proof theory

Most popular at the top

  • 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...

  • Ways of Proof Theoryby Ralf Schindler

    De Gruyter 2010; US$ 196.00

    On the occasion of the retirement of Wolfram Pohlers the Institut für Mathematische Logik und Grundlagenforschung of the University of Münster organized a colloquium and a workshop which took place July 17 ? 19, 2008. This event brought together proof theorists from many parts of the world who have been acting as teachers, students and collaborators... more...

  • Mathematical Analysis and Proofby D Stirling

    Elsevier Science 2009; US$ 72.95

    This fundamental and straightforward text addresses a weakness observed among present-day students, namely a lack of familiarity with formal proof. Beginning with the idea of mathematical proof and the need for it, associated technical and logical skills are developed with care and then brought to bear on the core material of analysis in such a lucid... 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...

  • Theorems, Corollaries, Lemmas, and Methods of Proofby Richard J. Rossi

    Wiley 2011; US$ 139.00

    A hands-on introduction to the tools needed for rigorous and theoretical mathematical reasoning Successfully addressing the frustration many students experience as they make the transition from computational mathematics to advanced calculus and algebraic structures, Theorems, Corollaries, Lemmas, and Methods of Proof equips students with the tools... 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...

  • Mathematical Thinking and Writingby Randall Maddox

    Elsevier Science 2001; US$ 107.00

    The ability to construct proofs is one of the most challenging aspects of the world of mathematics. It is, essentially, the defining moment for those testing the waters in a mathematical career. Instead of being submerged to the point of drowning, readers of Mathematical Thinking and Writing are given guidance and support while learning the language... more...

  • Lectures on the Curry-Howard Isomorphismby Morten Heine Sřrensen; Pawel Urzyczyn

    Elsevier Science 2006; US$ 170.00

    The Curry-Howard isomorphism states an amazing correspondence between systems of formal logic as encountered in proof theory and computational calculi as found in type theory. For instance, minimal propositional logic corresponds to simply typed lambda-calculus, first-order logic corresponds to dependent types, second-order logic corresponds to polymorphic... 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...

  • 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...