Discussion of Homotopy Type Theory and Univalent Foundations
 help / color / mirror / Atom feed
From: Steve Awodey <steve...@gmail.com>
To: Michael Shulman <shu...@sandiego.edu>
Cc: Stefan Monnier <mon...@iro.umontreal.ca>,
	Thorsten Altenkirch <Thorsten....@nottingham.ac.uk>,
	"homotopyt...@googlegroups.com" <homotopyt...@googlegroups.com>
Subject: Re: [HoTT] "Identifications" ?
Date: Mon, 4 May 2020 12:07:48 -0400	[thread overview]
Message-ID: <E31B538B-E0C9-4D4F-A4F1-4335E59CAE0D@gmail.com> (raw)
In-Reply-To: <CAOvivQx_2TinRHBrmOAZFnmFp8VVQ-yMcPvtKFtX-d9wGsD+2Q@mail.gmail.com>

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.

  reply	other threads:[~2020-05-04 16:07 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 [this message]
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

Reply instructions:

You may reply publicly to this message via plain-text email
using any one of the following methods:

* Save the following mbox file, import it into your mail client,
  and reply-to-all from there: mbox

  Avoid top-posting and favor interleaved quoting:
  https://en.wikipedia.org/wiki/Posting_style#Interleaved_style

* Reply using the --to, --cc, and --in-reply-to
  switches of git-send-email(1):

  git send-email \
    --in-reply-to=E31B538B-E0C9-4D4F-A4F1-4335E59CAE0D@gmail.com \
    --to="steve..."@gmail.com \
    --cc="Thorsten...."@nottingham.ac.uk \
    --cc="homotopyt..."@googlegroups.com \
    --cc="mon..."@iro.umontreal.ca \
    --cc="shu..."@sandiego.edu \
    --subject='Re: [HoTT] "Identifications" ?' \
    /path/to/YOUR_REPLY

  https://kernel.org/pub/software/scm/git/docs/git-send-email.html

* If your mail client supports setting the In-Reply-To header
  via mailto: links, try the mailto: link

This is a public inbox, see mirroring instructions
for how to clone and mirror all data and code used for this inbox;
as well as URLs for NNTP newsgroup(s).