[Haskell-cafe] Monad laws

[Mike Meyer]

On Sat, Jun 28, 2014 at 10:52 PM, Brandon Allbery <allbery.b at gmail.com>
wrote:

> I imagine that, like Ord, a decision was made to implement the proper
> mathematical abstraction and not merely a convenient one. This seems to be
> the "Haskell way". (I'm not sure how it explains Double, though the numeric
> hierarchy has a lot of compromises in the name of convenience or expected
> behavior. Possibly Monad was in some sense a reaction to this, even: "we
> got that one wrong, let's do this one correctly".)
>

Double, like Int, is a computer construct, not a mathematical one.  They
both map to hardware types that act like mathematical ones until you look
closely, but have better performance than the software constructs that have
better behavior.
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