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Re: [Coq-Club] A criticism to CIC from the point of view of foundations of mathematics (Voevodsky's argument)


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  • From: Andrej Bauer <andrej.bauer AT andrej.com>
  • To: Coq Club <coq-club AT inria.fr>
  • Subject: Re: [Coq-Club] A criticism to CIC from the point of view of foundations of mathematics (Voevodsky's argument)
  • Date: Thu, 3 May 2018 12:00:52 +0200
  • Authentication-results: mail2-smtp-roc.national.inria.fr; spf=None smtp.pra=andrej.bauer AT andrej.com; spf=None smtp.mailfrom=andrej.bauer AT andrej.com; spf=None smtp.helo=postmaster AT mail-io0-f179.google.com
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Jose Manuel Rodriguez Caballero wrote:
> Indeed, my prediction yesterday was, I quote myself: “My modest conclusion
> is that Russell O’Connor formally mimicked the Gödel-Rosser argument in Coq,
> but he did not consider the rôle of Coq in the foundation of mathematics as
> a whole”. So, I think that I understood the paper.

Rusell O'Connor clearly and explicitly stated how things stand with
his paper, yet you insist to pass value judgements that are completely
beside the point. I cannot explain this in any other way than your
trying to belittle Russell and prove to yourself your own
self-righteousness. I strongly support Russell's work and his
attitude, and find your attitude inappropriate.

Proofs done in Coq follow a standard of rigor which is an order of
magnitude above the standard of peer reviewed mathematics journals.
People who produce mechanised proofs in general have a much, much
better understanding of logic and foundations than most mathematicians
who publish papers. Your comments are out of place and couched in
ignorance.

Andrej



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