From: Michael Shulman <shu...@sandiego.edu>
To: Thorsten Altenkirch <Thorsten....@nottingham.ac.uk>
Cc: "homotopyt...@googlegroups.com" <homotopyt...@googlegroups.com>
Subject: Re: [HoTT] "Identifications" ?
Date: Mon, 4 May 2020 06:16:57 -0700 [thread overview]
Message-ID: <CAOvivQz1avq5PgK1FHWp1d4-U6UzV=Vdvo9iRp_3WjaXxNUskg@mail.gmail.com> (raw)
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
On Mon, May 4, 2020 at 2:35 AM Thorsten Altenkirch
> I am just reading a paper which uses the word “Identification” instead of equality. I think this has been proposed by Bob Harper. Can anybody enlighten me what is the difference between identifications and equality? Maybe there is an identification between them but they are not equal? Are the real numbers 0.999… identified or are they equal?
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next prev parent reply other threads:[~2020-05-04 13:17 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 [this message]
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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