Discussion of Homotopy Type Theory and Univalent Foundations
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From: Stefan Monnier <mon...@iro.umontreal.ca>
To: Michael Shulman <shu...@sandiego.edu>
Cc: Thorsten Altenkirch <Thorsten....@nottingham.ac.uk>,
	"homotopyt...@googlegroups.com" <homotopyt...@googlegroups.com>
Subject: Re: [HoTT] "Identifications" ?
Date: Mon, 04 May 2020 10:48:28 -0400	[thread overview]
Message-ID: <jwvr1vzbvym.fsf-monnier+Inbox@gnu.org> (raw)
In-Reply-To: <CAOvivQz1avq5PgK1FHWp1d4-U6UzV=Vdvo9iRp_3WjaXxNUskg@mail.gmail.com> (Michael Shulman's message of "Mon, 4 May 2020 06:16:57 -0700")

> 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"


  parent reply	other threads:[~2020-05-04 14:48 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 [this message]
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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