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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 …
Simon Henry's user avatar
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10 votes
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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 …
Simon Henry's user avatar
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