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"
>
next prev parent 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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