Discussion of Homotopy Type Theory and Univalent Foundations
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From: Thorsten Altenkirch <Thorsten....@nottingham.ac.uk>
To: nicolai.kraus <nicola...@gmail.com>,
	"homotopyt...@googlegroups.com" <homotopyt...@googlegroups.com>
Subject: Re: [HoTT] "Identifications" ?
Date: Mon, 4 May 2020 12:04:20 +0000	[thread overview]
Message-ID: <2538F5D2-B963-4695-B5F3-610C0FCEC4B4@nottingham.ac.uk> (raw)
In-Reply-To: <a2504582-a7f5-6bcb-ebc6-17ae869ebaa8@gmail.com>

I always thought that the "magic trick" would just cause confusion. 

It is important to distinguish whether we talk about Mathematics or whether we do Mathematics. The magic trick example works because we confuse the two. Myst reduces to the secret but mathematically there is no inverse. What matters is the latter.

Thorsten


On 04/05/2020, 12:42, "Nicolai Kraus" <nicola...@gmail.com> wrote:

    On 04/05/2020 12:17, Thorsten Altenkirch wrote:
    >      This is really different in the respective topos models as eg simplicial
    >      sets or already the topos of reflexive graphs as exemplified by N. Kraus's
    >      puzzling counterexample.
    >
    > What puzzling counterexample is this?

    Thomas was referring to:
    https://homotopytypetheory.org/2013/10/28/

    You may also have seen it in my thesis or the paper "Notions of 
    Anonymous Existence in Martin-Löf Type Theory". :)
    Nicolai


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  reply	other threads:[~2020-05-04 12:04 UTC|newest]

Thread overview: 26+ messages / expand[flat|nested]  mbox.gz  Atom feed  top
2020-05-04  9:35 Thorsten Altenkirch
2020-05-04 10:59 ` [HoTT] " stre...
2020-05-04 11:04   ` Steve Awodey
2020-05-04 11:17   ` Thorsten Altenkirch
2020-05-04 11:42     ` Nicolai Kraus
2020-05-04 12:04       ` Thorsten Altenkirch [this message]
2020-05-04 12:06     ` Thomas Streicher
2020-05-04 12:12       ` Thorsten Altenkirch
2020-05-04 12:39         ` Thomas Streicher
2020-05-04 13:16 ` Michael Shulman
2020-05-04 14:17   ` Thorsten Altenkirch
2020-05-04 14:48   ` Stefan Monnier
2020-05-04 15:46     ` Nicolai Kraus
2020-05-04 15:57       ` Thorsten Altenkirch
2020-05-04 15:59     ` Michael Shulman
2020-05-04 16:07       ` Steve Awodey
2020-05-04 16:17         ` Thorsten Altenkirch
2020-05-04 16:53           ` Steve Awodey
2020-05-04 17:25             ` Thorsten Altenkirch
2020-05-04 17:43               ` Michael Shulman
2020-05-04 17:55               ` Steve Awodey
2020-05-04 16:21         ` Peter LeFanu Lumsdaine
2020-05-04 16:16       ` Joyal, André
2020-05-04 20:38         ` Joyal, André
2020-05-07 19:43 ` Martín Hötzel Escardó
2020-05-08 10:41   ` [HoTT] " Thorsten Altenkirch

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