On Eq, was Re: [Haskell-cafe] When to use fancy types [Re:
carette at mcmaster.ca
Sat May 14 16:23:17 EDT 2005
Lennart Augustsson <lennart at augustsson.net> wrote:
> Jacques Carette wrote:
> > Such people have the nasty habit of also thinking that ALL
> > functions are continuous! You might think they were constructivists or
> > something.
> Why would a constructivist think that all functions are continuous?
> It makes no sense.
That would be a theorem of construtive mathematics! All *constructible* functions are continuous. See
for some of these ideas. For a lot more details, I recommend the book of Weihrauch, "Computable Analysis". Others
have recommended the books of Bishop and of Beeson, but I have not read them (yet).
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