Deduction, Computation, Experiment

Exploring the Effectiveness of Proof

  • Rossella Lupacchini
  • Giovanna Corsi

Table of contents

  1. Front Matter
    Pages I-XII
  2. Carlo Celluci
    Pages 1-27
  3. Andrea Cantini
    Pages 29-48
  4. Gabriele Lolli
    Pages 65-79
  5. Wilfried Sieg, Clinton Field
    Pages 117-140
  6. Ugo Dal Lago, Simone Martini
    Pages 141-157
  7. Mario Rasetti
    Pages 159-174
  8. Rossella Lupacchini
    Pages 195-222
  9. Back Matter
    Pages 273-279

About this book

Introduction

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 use significant 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.

Keywords

Applied Mathematics Computation Deduction Experiment logic mathematics proof

Editors and affiliations

  • Rossella Lupacchini
    • 1
  • Giovanna Corsi
    • 1
  1. 1.Dipartimento di FilosofiaUniversità degli Studi di BolognaItalia

Bibliographic information

  • DOI https://doi.org/10.1007/978-88-470-0784-0
  • Copyright Information Springer-Verlag Italia 2008
  • Publisher Name Springer, Milano
  • eBook Packages Humanities, Social Sciences and Law
  • Print ISBN 978-88-470-0783-3
  • Online ISBN 978-88-470-0784-0
  • About this book