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Tracking Reason
Oxford University Press 2006; US$ 23.99When 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 Proof
Oxford University Press, USA 2000; US$ 22.99When 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...
Handbook of Proof Theory
Elsevier Science 1998; US$ 182.00This 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 Opposition
Springer 2012; US$ 69.99aiThe 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 form
Elsevier Science 2000; US$ 250.00Provability, Computability and Reflection more...
The Nuts and Bolts of Proofs
Elsevier Science 2011; US$ 49.95The 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 Proofs
Elsevier Science 2005; US$ 51.95The 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 Formalization
Taylor and Francis 1992; US$ 148.00A collection of essays from distinguished contributors looking at why it is that mathematical proof is given precedence over other forms of mathematical justification. more...
Linear Logic in Computer Science
Cambridge University Press 2004; US$ 108.00This book illustrates linear logic in the application of proof theory to computer science. more...









