The mathematician and Fields medalist Vladimir Voevodsky on using automated proof assistants in mathematics:
[Following the discovery of some errors in his earlier work:] I think it was at this moment that I largely stopped doing what is called “curiosity driven research” and started to think seriously about the future.
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A technical argument by a trusted author, which is hard to check and looks similar to arguments known to be correct, is hardly ever checked in detail.
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It soon became clear that the only real long-term solution to the problems that I encountered is to start using computers in the verification of mathematical reasoning.
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Among mathematicians computer proof verification was almost a forbidden subject. A conversation started about the need for computer proof assistants would invariably drift to the Goedel Incompleteness Theorem (which has nothing to do with the actual problem) or to one or two cases of verification of already existing proofs, which were used only to demonstrate how impractical the whole idea was.
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I now do my mathematics with a proof assistant and do not have to worry all the time about mistakes in my arguments or about how to convince others that my arguments are correct.
From a March 26, 2014 talk. Slides available here.
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Yes, but also remember that Turing's English, shy, and from King's College, home of a certain archness and dry wit. I think he's taking the piss, but the very ambiguity of it was why it appealed as a rationality quote. He's facing the evidence squarely, declaring his biases, taking the objection seriously, and yet there's still a profound feeling that he's defying the data. Or maybe not. Maybe I just read it that way because I don't buy telepathy.
Hodges claims that Turing at least had some interest in telepathy and prophesies:
Alan Turing: The Enigma (Chapter 7)