[FOM] formal proofs
Timothy Y. Chow
tchow at alum.mit.edu
Tue Oct 21 16:17:16 EDT 2014
Urs Schreiber wrote:
> A good example of this is the formal proof, in HoTT, of the
> Blakers-Massy theorem
> (http://ncatlab.org/nlab/show/Blakers-Massey+theorem) by Lumsdaine,
> Finster and Licata. The full formalization is here:
> I'd think that with traditional foundations even stating this theorem
> formally is impossible for all practical purposes, let alone formally
> checking its proof.
This is a nice gauntlet! Before a traditionalist embarks on a project to
refute this claim, let me clarify what is at stake.
Question for Urs: Suppose a traditionalist were to thoroughly refute your
claim above. Would that "score any points" for the traditional side in
this debate? Or is this just a casual remark on your part, which if
refuted would not cause you to change your mind on any substantive issue?
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