Discussion of Homotopy Type Theory and Univalent Foundations
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From: Nicolai Kraus <nicola...@gmail.com>
To: HomotopyTypeTheory@googlegroups.com
Subject: Re: [HoTT] "Identifications" ?
Date: Mon, 4 May 2020 16:46:40 +0100	[thread overview]
Message-ID: <b1b554b1-1c70-0bd6-5c09-cd5f0f2e48f9@gmail.com> (raw)
In-Reply-To: <jwvr1vzbvym.fsf-monnier+Inbox@gnu.org>

For what it's worth, "identification" is much closer to Per Martin-Löf's 
original terminology ("identity type") than "equality" or "path" are.
Nicolai

On 04/05/2020 15:48, Stefan Monnier 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"
>


  reply	other threads:[~2020-05-04 15:46 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 [this message]
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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