From: Robin Adams <robin.adams78@gmail.com>
To: categories@mta.ca
Subject: Re: Intro to higher order categorical logic question
Date: Fri, 27 Jun 2014 11:37:04 +0200 [thread overview]
Message-ID: <E1X0zdt-0003OT-H8@mlist.mta.ca> (raw)
In-Reply-To: <E1Wxkap-0005GA-4Q@mlist.mta.ca>
Dear Vasya,
The equivalence is given in Propositions 2.1 and 2.2 and Theorem 2.4.
We can introduce the logical connectives as primitives and then define
equality; or we can introduce equality as a primitive and define the
logical connectives in terms of =. Either way gives the same set of
derivable judgements.
--
Robin Adams
On 19/06/14 09:12, Vasili I. Galchin wrote:
> Hello,
>
> In the "Introduction to Part II" paragraph one , two type
> theories are mentioned. The last sentence of this paragraph states
> "These two versions are shown to be equivalent, although the
> second(equality .. my words) is useful for describing the internal
> language of a topos". Question: In what sense are these two type
> theory equivalent? In some technical sense?
>
>
> Kind regards,
>
> Vasya
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prev parent reply other threads:[~2014-06-27 9:37 UTC|newest]
Thread overview: 2+ messages / expand[flat|nested] mbox.gz Atom feed top
2014-06-19 7:12 Vasili I. Galchin
2014-06-27 9:37 ` Robin Adams [this message]
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