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- Oxford University Press 2005; 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. Jody Azzouni investigates the connection between that ordinary notion of consequence and the formal analogues invented by logicians. One claim of the book is that, despite... more...
- Oxford University Press 2000; US$ 49.99
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.This... more...
- Wiley 2009; US$ 115.95
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 Theorem in separate... more...
- 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This book collects previously unpublished papers exploring the theory of oppositions based on Aristotelian foundations of logic, reflecting renewed interest and challenging re-interpretations which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...
- CRC Press 2014; US$ 99.95
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...
- 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...
- 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...
- 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...
- 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...