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the mathematical discipline that applies mathematical methods to the study of mathematical theories themselves.
9
votes
Equivalences of $n$-categories
That is indeed a problem, and one could argue that this is part of the reason why these questions are difficult. But I feel that in practice that has never been a strong obstruction. I guess, one way …
10
votes
Accepted
Is there an equivalent of the incompleteness theorems/halting problem in category theory?
There is a category theoretic version of the incompleteness theorem originally due to André Joyal that has been unavailable for a long time, but has been written up not so long ago by Joost van Dijk a …