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A new way to write mathematics

17 点作者 qubitsam将近 12 年前

3 条评论

zepolud将近 12 年前
This is extremely shallow. This guy deliberately focuses on the most tabloid-style reporting of the HoTT book he could find, a New Scientist piece, and then uses it to attack the book itself for having unsubstantiated grandiose claims. Well, guess what -- you&#x27;re reading a New Scientist article, what did you expect?<p>Perhaps it would be more befitting to a person in his position (a CS professor, it appears) to actually critique the book itself. Judging by his rant, it&#x27;s doubtful he even read it. Otherwise he would have known that the most controversial thing about it is a preference of constructive proof, when possible, as they are generally both more illuminating and rely on fewer assumptions.
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strangestchild将近 12 年前
Horses for courses. Whilst I&#x27;m skeptical that we&#x27;re at the stage where mechanical proof-checking is viable, such a technique would be immensely valuable.<p>On the other hand, it is of course true that if the proof <i>itself</i> is mechanistic, most mathematicians would feel that a lot of the important essence of the result had been lost.<p>Voevodsky&#x27;s work is apparently in the former, and the blog author conflates this with the latter in order to (wrongly) criticise it.
Tichy将近 12 年前
I really disagree. A proof is a proof, doesn&#x27;t matter if it helps you understand anything or not.
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