Sat, 5 Dec 1998 00:23:20 +0100
Just some *general* remark about Brian's arrow universes,
independent from the content:
when you know so many arrows, I expect that you know category theory,
which is the theory of arrows par excellence.
I was originally invented for algebraic/geometric used,
but it has been since used to independently reconstruct type theory
as known in typed lambda-calculi...
I don't know category theory *that* well, but enough of it to know that
* it's very powerful
* it's mostly the same as lambda-calculus,
only with a graphical rather than syntactical formalism.
What I mean is: there are lots of things that we don't have to reinvent,
and that we shouldn't reinvent, because it's already there.
I certainly do not mean to lessen any one's talent.
But I'd rather learn known things from a book, and discover new things,
than discover known things the hard way, and have no time for new things.
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