Re: [HoTT] doing "all of pure mathematics" in type theory

[Thorsten Altenkirch <Thorsten.Altenkirch@nottingham.ac.uk>]

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Sees my name was mentioned (says the devil).

Computer games are the perfect analogy. You are fighting a proof and once you have done it you reach the next level. But then there is still the boss lemma to be defeated.

When I started using Type Theory using Randy Pollack’s LEGO system ages ago, I was playing nethack at the same time. The similarity of the two activities was intriguing (also both were entirely ASCII based). Also you can still to formal proofs when tired and or drunk. But you can’t do paper maths.

Thorsten

From: <homotopytypetheory@googlegroups.com> on behalf of Martín Hötzel Escardó <escardo.martin@gmail.com>
Date: Tuesday, 4 June 2019 at 21:51
To: Homotopy Type Theory <homotopytypetheory@googlegroups.com>
Subject: Re: [HoTT] doing "all of pure mathematics" in type theory



On Sunday, 2 June 2019 18:49:30 UTC+1, Kevin Buzzard wrote:
The thing I know for sure is
that there are modern maths undergraduates who grew up with computer
games and who find the idea of turning their example sheet questions
into levels of a computer game quite appealing.

I am surprised that Thorsten Altenkirch didn't manifest himself at this point. He uses to say that you can't teach old dogs new tricks.

I am not sure it is the computer games (it could be, and if not they could anyway help, perhaps). I think it is their open minds.

Martin

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