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- From: Georgi Guninski <guninski AT guninski.com>
- To: coq-club AT inria.fr
- Subject: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?
- Date: Thu, 23 Jun 2011 19:03:58 +0300
- Header: best read with a sniffer
I am investigating fake proofs that look plausible to human forensics.
Why is it wrong to declare a proven theorem as an axiom? (this appears
counter intuitive to me)
Theorem T : Prop.
exact False.
Defined.
Axiom A : T.
Lemma FUCKMS: False.
pose proof A. compute in H. contradiction.
Defined.
Coq < Print Assumptions FUCKMS.
Axioms:
A : T
If $T$ were False, how was it proven as a theorem?
Thank you.
--
joro
- [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Georgi Guninski
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, gallais @ ensl.org
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, AUGER Cedric
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Pierre Courtieu
- Message not available
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
Bruno Barras
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
Georgi Guninski
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Adam Chlipala
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?, Pierre-Yves Strub
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
Georgi Guninski
- Re: [Coq-Club] Why is it wrong to declare a proven theorem as axiom?,
Bruno Barras
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