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Results tagged with categorical-logic
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user 2811
10
votes
1
answer
523
views
Which algebraic theories are co-sites?
Given a category $C$, I'll say that a set $J$ of families $\{f_i\colon A\to B_i\mid i\in I\}\;$ is a co-coverage if their opposites $\{f_i^{op}\colon B_i\to A\mid i\in I\}\;$ form a coverage on $C^{op …
- 8,659
55
votes
2
answers
9k
views
Lawvere's "Some thoughts on the future of category theory."
In Lecture Notes in Mathematics 1488, Lawvere writes the introduction to the Proceedings for a 1990 conference in Como.
In this article, Lawvere, the inventor of Toposes and Algebraic Theories, dis …
- 8,659
36
votes
2
answers
3k
views
What can be expressed in and proved with the internal logic of a topos?
The title of this post expresses what I really want, which is to learn how to wield the internal logic of a topos more effectively. However, to bring it down to earth, I'll ask a few basic questions a …
- 8,659