Jaakko Hintikka Selected Papers

Language, Truth and Logic in Mathematics

Authors: Hintikka, Jaakko

Buy this book

eBook $239.00
price for USA (gross)
  • ISBN 978-94-017-2045-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $309.00
price for USA
  • ISBN 978-0-7923-4766-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $309.00
price for USA
  • ISBN 978-90-481-4923-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

One can distinguish, roughly speaking, two different approaches to the philosophy of mathematics. On the one hand, some philosophers (and some mathematicians) take the nature and the results of mathematicians' activities as given, and go on to ask what philosophical morals one might perhaps find in their story. On the other hand, some philosophers, logicians and mathematicians have tried or are trying to subject the very concepts which mathematicians are using in their work to critical scrutiny. In practice this usually means scrutinizing the logical and linguistic tools mathematicians wield. Such scrutiny can scarcely help relying on philosophical ideas and principles. In other words it can scarcely help being literally a study of language, truth and logic in mathematics, albeit not necessarily in the spirit of AJ. Ayer. As its title indicates, the essays included in the present volume represent the latter approach. In most of them one of the fundamental concepts in the foundations of mathematics and logic is subjected to a scrutiny from a largely novel point of view. Typically, it turns out that the concept in question is in need of a revision or reconsideration or at least can be given a new twist. The results of such a re-examination are not primarily critical, however, but typically open up new constructive possibilities. The consequences of such deconstructions and reconstructions are often quite sweeping, and are explored in the same paper or in others.

About the authors

Jaakko Hintikka is the author or co-author of thirty volumes and of some 300 scholarly articles in mathematical and philosophical logic, epistemology, language theory, philosophy of science, history of ideas and history of philosophy, including Aristotle, Descartes, Leibniz, Kant, Peirce, The Bloomsbury Group, Husserl and Wittgenstein. He has also been active in international scholarly organizations, most recently as the First Vice-President of FISP, Vice-President of IIP and Co-Chair of the American Organizing Committee of the Twentieth World Congress of Philosophy. He has been Editor-in-Chief of the International Journal Synthese and the Managing Editor of Synthese Library since 1965.

Table of contents (12 chapters)

  • What is Elementary Logic? Independence-Friendly Logic as the True Core Area of Logic

    Hintikka, Jaakko

    Pages 1-26

  • A Revolution in Logic?

    Hintikka, Jaakko

    Pages 27-44

  • A Revolution in the Foundations of Mathematics?

    Hintikka, Jaakko

    Pages 45-61

  • Is there Completeness in Mathematics after Gödel?

    Hintikka, Jaakko

    Pages 62-83

  • Hilbert Vindicated?

    Hintikka, Jaakko

    Pages 84-105

Buy this book

eBook $239.00
price for USA (gross)
  • ISBN 978-94-017-2045-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $309.00
price for USA
  • ISBN 978-0-7923-4766-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $309.00
price for USA
  • ISBN 978-90-481-4923-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Services for this Book

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Language, Truth and Logic in Mathematics
Authors
Series Title
Jaakko Hintikka Selected Papers
Series Volume
3
Copyright
1998
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-017-2045-8
DOI
10.1007/978-94-017-2045-8
Hardcover ISBN
978-0-7923-4766-8
Softcover ISBN
978-90-481-4923-0
Edition Number
1
Number of Pages
X, 250
Topics