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#### Proof and Proving in Mathematics Education

Springer Netherlands 2012; US$ 219.00Proof 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 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...

#### There's Something About Gdel

John Wiley & Sons 2009; US$ 99.95Berto’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 Opposition

Springer Basel 2012; US$ 89.95This book collects previously unpublished papers exploring the theory of oppositions based on Aristotelian foundations of logic, reflecting renewed interest and challenging re-interpretations which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 Theory

CRC Press 2014; US$ 89.95Although 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 Theory

Elsevier Science 1998; US$ 235.00This 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...

#### Logic in algebraic form

Elsevier Science 2000; US$ 275.00Provability, Computability and Reflection more...

#### A Logical Introduction to Proof

Springer New York 2012; US$ 59.95Identifies 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 Proofs

Elsevier Science 2011; US$ 49.95The 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...