[Haskell-cafe] Monad explanation
leimy2k at gmail.com
Thu Feb 5 18:52:40 EST 2009
On Thu, Feb 5, 2009 at 2:38 PM, Jonathan Cast <jonathanccast at fastmail.fm>wrote:
> On Thu, 2009-02-05 at 13:01 -0800, David Leimbach wrote:
> > On Thu, Feb 5, 2009 at 12:27 PM, Jonathan Cast
> > <jonathanccast at fastmail.fm> wrote:
> > On Thu, 2009-02-05 at 12:21 -0800, David Leimbach wrote:
> > >
> > >
> > > On Thu, Feb 5, 2009 at 11:25 AM, Andrew Wagner
> > > <wagner.andrew at gmail.com> wrote:
> > > I think the point of the Monad is
> > that it
> > > works as a container of stuff, that
> > still
> > > allows mathematically pure things to
> > happen,
> > > while possibly having some opaque
> > "other
> > > stuff" going on.
> > > This at least sounds, very wrong, even if it's not.
> > Monads
> > > are not impure. IO is, but it's only _one_ instance
> > of Monad.
> > > All others, as far as I know, are pure. It's just
> > that the
> > > bind operation allows you to hide the stuff you
> > don't want to
> > > have to worry about, that should happen every time
> > you compose
> > > two monadic actions.
> > > Well all I can tell you is that I can have (IO Int) in a
> > function as a
> > > return, and the function is not idempotent in terms of the
> > "stuff"
> > > inside IO being the same.
> > Sure it's the same.
> > > cmp /bin/cat /bin/cat
> > > cp /bin/cat ~
> > > cmp /bin/cat ~/cat
> > >
> > Pretty much the same, anyway.
> > So if IO represents a program that when executed interacts with the
> > world's state, is it safe to say that when I return (State Int Int),
> > that I'm returning a "State program"?
> I won't object to it. Othe people might, though.
> > That'd make sense as it really does look like we force the State to be
> > evaluated with runState, evalState or execState.
> > The only difference with IO then is that to get IO programs to run,
> > you have to do it inside another IO program.
> Meh. Combining IO sub-programs into larger programs doesn't really `get
> them to run'. Better to say that an IO value is meaningful only to the
> computer, and not mathematically (denotationally) useful.
All Haskell programs start as
main :: IO ()
though... so they all get evaluated in the context of another IO () don't
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