How Does Proofs and Types Explore the Foundations of Mathematics and Logic?

  • Thread starter Thread starter Kevin_Axion
  • Start date Start date
  • Tags Tags
    Book Proofs
Click For Summary
The discussion centers on the free book "Proofs and Types" by Jean-Yves Girard, which explores the connections between logic and mathematics through the lens of type theory. The text emphasizes the significance of proofs as mathematical objects and their relationship to types in programming languages. It is noted that the book has been translated and includes appendices by Paul Taylor and Yves Lafont, enhancing its accessibility. The publication history indicates it was first released in 1989 and has undergone several reprints, including a web version in 2003. Overall, "Proofs and Types" serves as a foundational resource for understanding the interplay between logic and mathematical proofs.
Kevin_Axion
Messages
912
Reaction score
3
A Free Book "Proofs and Types"

http://www.mpi-sws.org/~dreyer/tor/papers/girard.pdf
Proofs and Types
Jean-Yves Girard
Translated and with appendices by:
Paul Taylor
Yves Lafont
Cambridge University Press
New York
Melbourne
New Rochelle
Sydney


Published by the Press Syndicate of the University of Cambridge
The Pitt Building, Trumpington Street, Cambridge CB2 1RP
32 East 57th Streey, New York, NY 10022, USA
10 Stamford Road, Oakleigh, Melbourne 3166, Australia

© Cambridge University Press, 1989
First Published 1989
Reprinted with minor corrections 1990
Reprinted for the Web 2003
Originally printed in Great Britain at the University Press, Cambridge
British Library Cataloguing in Publication Data available
Library of Congress Cataloguing in Publication Data available
ISBN 0 521 37181 3
 
Mathematics news on Phys.org


By using spherical coordinates how can we get the volume of a right circular cylinder with radius a and height h
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 7 ·
Replies
7
Views
4K
  • · Replies 9 ·
Replies
9
Views
4K