Synthese Library

Proof Theory

History and Philosophical Significance

Editors: Hendricks, Vincent F., Pedersen, Stig Andur, Jørgensen, Klaus Frovin (Eds.)

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About this book

hiS volume in the Synthese Library Series is the result of a conference T held at the University of Roskilde, Denmark, October 31st-November 1st, 1997. The aim was to provide a forum within which philosophers, math­ ematicians, logicians and historians of mathematics could exchange ideas pertaining to the historical and philosophical development of proof theory. Hence the conference was called Proof Theory: History and Philosophical Significance. To quote from the conference abstract: Proof theory was developed as part of Hilberts Programme. According to Hilberts Programme one could provide mathematics with a firm and se­ cure foundation by formalizing all of mathematics and subsequently prove consistency of these formal systems by finitistic means. Hence proof theory was developed as a formal tool through which this goal should be fulfilled. It is well known that Hilbert's Programme in its original form was unfeasible mainly due to Gtldel's incompleteness theorems. Additionally it proved impossible to formalize all of mathematics and impossible to even prove the consistency of relatively simple formalized fragments of mathematics by finitistic methods. In spite of these problems, Gentzen showed that by extending Hilbert's proof theory it would be possible to prove the consistency of interesting formal systems, perhaps not by finitis­ tic methods but still by methods of minimal strength. This generalization of Hilbert's original programme has fueled modern proof theory which is a rich part of mathematical logic with many significant implications for the philosophy of mathematics.

Table of contents (10 chapters)

Table of contents (10 chapters)

Buy this book

eBook $119.00
price for USA in USD
  • ISBN 978-94-017-2796-9
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.99
price for USA in USD
  • ISBN 978-0-7923-6544-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $159.99
price for USA in USD
  • ISBN 978-90-481-5553-8
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Proof Theory
Book Subtitle
History and Philosophical Significance
Editors
  • Vincent F. Hendricks
  • Stig Andur Pedersen
  • Klaus Frovin Jørgensen
Series Title
Synthese Library
Series Volume
292
Copyright
2000
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-2796-9
DOI
10.1007/978-94-017-2796-9
Hardcover ISBN
978-0-7923-6544-0
Softcover ISBN
978-90-481-5553-8
Series ISSN
0166-6991
Edition Number
1
Number of Pages
XII, 257
Topics