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 -- You received this message because you are subscribed to the Google Groups "Homotopy Type Theory" group. To unsubscribe from this group and stop receiving emails from it, send an email to HomotopyT...@googlegroups.com. To view this discussion on the web visit https://groups.google.com/d/msgid/HomotopyTypeTheory/a2504582-a7f5-6bcb-ebc6-17ae869ebaa8%40gmail.com. This message and any attachment are intended solely for the addressee and may contain confidential information. If you have received this message in error, please contact the sender and delete the email and attachment. Any views or opinions expressed by the author of this email do not necessarily reflect the views of the University of Nottingham. Email communications with the University of Nottingham may be monitored where permitted by law.
next prev parent 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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