Most scientific & mathematical disciplines I know of have results that educated outsiders can appreciate and go "wow" after a brief acquaintance, even without understanding the details. Does anyone know of such a result for category theory?
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Note the word "brief" here. This request is easily fulfilled for fields ranging from linguistics to algebraic geometry to general relativity to molecular biology. Curious if there is such a result for category theory.
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Replying to @michael_nielsen
I suspect
@johncarlosbaez or@emilyriehl will be able to give a good example or two3 replies 0 retweets 4 likes -
Yup, but we've both already spent plenty of time explaining this stuff. Decades in my case.
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As you know, I've read a lot of your writing, John - probably hundreds of thousands of words, and I've studied some tens of thousands (esp. yr book with Muniain). But while I tried reading some bits and pieces of your writing about category theory, it never seemed aimed at me.
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Replying to @michael_nielsen @johncarlosbaez and
I should take a more serious look and try to find something you've written on this that is aimed at someone like me.
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Maybe try "A prehistory of n-categorical physics" or "Quantum quandaries", both on the arXiv.
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Thanks!
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Replying to @michael_nielsen @johncarlosbaez and
The core idea of the cobordism hypothesis can be expressed at many levels of abstraction. In addition to John’s work, I recommend the review: https://web.ma.utexas.edu/users/dafr/cobordism.pdf …
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