181251

Springer, Dordrecht

2008

279 Pages

ISBN 978-88-470-0783-3

Deduction, computation, experiment

exploring the effectiveness of proof

Edited by

Rossella Lupacchini , Giovanna Corsi

What is a proof for? What is the characteristic use of a proof as a computation, as opposed to its use as an experiment? What is the relationship between mathematical procedures
and natural processes?
The essays collected in this volume address such questions from different points of view and will interest students and scholars in several branches of scientific knowledge. Some
essays deal with the logical skeleton of deduction, others examine the interplay between natural systems and models of computation, yet others usesignificant results from the
natural sciences to illustrate the character of procedures in applied mathematics. Focusing on relevant conceptual and logical issues underlying the overall quest for proving, the volume seeks to cast light on what the effectiveness of proof rests on.

Publication details

Full citation:

Lupacchini, R. , Corsi, G. (eds) (2008). Deduction, computation, experiment: exploring the effectiveness of proof, Springer, Dordrecht.

Table of Contents

Why proof? what is a proof?

Celluci Carlo

1-27

Open Access Link
On formal proofs

Cantini Andrea

29-48

Open Access Link
Experimental methods in proofs

Lolli Gabriele

65-79

Open Access Link
Automated search for Gödel's proofs

Sieg Wilfried; Field Clinton

117-140

Open Access Link
Proofs as efficient programs

Dal Lago Ugo; Martini Simone

141-157

Open Access Link
Quantum combing

Rasetti Mario

159-174

Open Access Link
Proofs instead of meaning explanations

Dag Westerståhl

175-194

Open Access Link
Proof as a path of light

Lupacchini Rossella

195-222

Open Access Link
Phenomenology of incompleteness

Bailly Francis; Longo Giuseppe

243-271

Open Access Link

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