From: Steve Awodey <awo...@cmu.edu> To: Thorsten Altenkirch <Thorsten....@nottingham.ac.uk> Cc: Michael Shulman <shu...@sandiego.edu>, Stefan Monnier <mon...@iro.umontreal.ca>, "homotopyt...@googlegroups.com" <homotopyt...@googlegroups.com> Subject: Re: [HoTT] "Identifications" ? Date: Mon, 4 May 2020 12:53:59 -0400 [thread overview] Message-ID: <14AEC162-00A7-41E5-88EF-11501EF7C2AB@gmail.com> (raw) In-Reply-To: <D83C2B3E-AF61-409B-BE3A-A98839A00CF6@nottingham.ac.uk> > On May 4, 2020, at 12:17 PM, Thorsten Altenkirch <Thorsten....@nottingham.ac.uk> wrote: > > > I’m afraid that someone may have hacked Thorsten’s email account. The real Thorsten went through all this with us many years ago. > : - ) > > One of our dogs gained access to my laptop - sorry. These animals can be very awkward. > > However, even the real Thorsten had a friendly argument with Andre Joyal when we were writing the book about whether to use = for the equality type. I remember that conversation. I think we decided to put the question “what does x=y mean?” aside, until we had taken care of more important things. So is it time now? Steve > > Thorsten > > On 04/05/2020, 17:08, "Steve Awodey" <steve...@gmail.com> wrote: > > I’m afraid that someone may have hacked Thorsten’s email account. The real Thorsten went through all this with us many years ago. > : - ) > > >> On May 4, 2020, at 12:00, Michael Shulman <shu...@sandiego.edu> wrote: >> >> The word "path" is closely tied to the homotopy interpretation, and to >> the classical perspective of oo-groupoids presented via topological >> spaces, which has various problems. This is particularly an issue in >> cohesive type theory, where there is a separate "point-set level" >> notion of path that it is important to distinguish from >> identifications. >> >>> On Mon, May 4, 2020 at 7:48 AM Stefan Monnier <mon...@iro.umontreal.ca> wrote: >>> >>>> I don't think using "identification" necessarily implies any >>>> difference between "identification" and "equality". I don't think of >>>> it that way. For me the point is just to have a word that refers to >>>> an *element* of an identity type. Calling it "an equality" can have >>>> the wrong connotation because classically, an equality is just a >>>> proposition (or a true proposition), whereas an element of an identity >>>> type carries information. Calling it "an identification" suggests >>>> exactly the information that it carries: a way of identifying two >>>> things. >>> >>> I thought that's what "path" was for? >>> >>> >>> Stefan "who really doesn't know what he's talking about" >>> >> >> -- >> 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/CAOvivQx_2TinRHBrmOAZFnmFp8VVQ-yMcPvtKFtX-d9wGsD%2B2Q%40mail.gmail.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. > > > > > -- > 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/D83C2B3E-AF61-409B-BE3A-A98839A00CF6%40nottingham.ac.uk.
next prev parent reply other threads:[~2020-05-04 16:54 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 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 [this message] 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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