Skip to Content.
Sympa Menu

coq-club - [Coq-Club] Why is it wrong to declare a proven theorem as axiom?

coq-club AT inria.fr

Subject: The Coq mailing list

List archive

[Coq-Club] Why is it wrong to declare a proven theorem as axiom?


chronological Thread 
  • 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



Archive powered by MhonArc 2.6.16.

Top of Page