Dear List, here is my newly published monograph on the history and philosophy of category theory and some other related matters: http://www.springer.com/philosophy/book/978-3-319-00403-7 http://www.amazon.com/Axiomatic-Method-Category-Synthese-Library/dp/33190040... The main thesis of the book: Categorical logic brings us back to Euclid leaving Hilbert at the margins (I'm talking here about Hilbert's version of axiomatic method, not about his legacy as a whole). Table of Contents (Category theory doesn't appear in the book before Chapter 4): Introduction.- Part I A Brief History of the Axiomatic Method.- Chapter 1. Euclid: Doing and Showing.- Chapter 2. Hilbert: Making It Formal.- Chapter 3. Formal Axiomatic Method and the 20th Century Mathematics.- Chapter. 4 Lawvere: Pursuit of Objectivity.- Conclusion of Part 1.- Part II. Identity and Categorification.- Chapter 5. Identity in Classical and Constructive Mathematics.- Chapter 6. Identity Through Change, Category Theory and Homotopy Theory.- Conclusion of Part 2.- Part III. Subjective Intuitions and Objective Structures.- Chapter 7. How Mathematical Concepts Get Their Bodies. Chapter 8. Categories versus Structures.- Chapter 9. New Axiomatic Method (instead of conclusion).- Bibliography. A draft version is on arXiv. I hope some of you may enjoy it and I'll be most grateful for any critique and any comment. best regards, AR [For admin and other information see: http://www.mta.ca/~cat-dist/ ]
A draft version is on arXiv. I hope some of you may enjoy it and I'll be most grateful for any critique and any comment.
best regards, AR
To help us (the lazy ones) find it can you give the explicit link to the arXive draft. Thanks, e.d.
sure, here it is: http://arxiv.org/abs/1210.1478 by the way: I'm subscribed to the list through a different email address: not andrei@philomatica.org but rodin@ens.fr ; in fact I use both. AR [For admin and other information see: http://www.mta.ca/~cat-dist/ ]
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andrei rodin