Pantheism and homotopy theory, Part 2

Mathematics without Apologies, by Michael Harris

Voevodsky diagram

Every mathematician should probably read Vladimir Voevodsky’s article in the Summer 2014 IAS Letter.  Only time will tell whether it will be remembered as a historic document of the highest importance; in the meantime, it can be read as an unusually lucid and frank account of what the subtitle calls a Personal Mission to Develop Computer Proof Verification to Avoid Mathematical Mistakes.  Voevodsky tells a few stories about subtle mistakes in important papers, including his own, that left him uneasy.  I’ll skip ahead to the happy ending.

I now do my mathematics with a proof assistant. I have a lot of wishes in terms of getting this proof assistant to work better, but at least I don’t have to go home and worry about having made a mistake in my work. I know that if I did something, I did it, and I don’t have to come back to…

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