
I hope the wizards will forgive a down-to-earth analogy.
Either a b is a knapsack with two pockets, the one on the Left (which must
hold an "a") and the one on the Right (which must hold a "b"). But you can
only use one pocket at a time.
So when there's a specific case of Either a b such as Left True, all that
can be concluded is that this is a case of an Either whose left pocket must
be able to handle a Bool; there's not enough information to know what could
have been put in the Right pocket. So only the left-pocket type ("a") can
be replaced with something specific.
Similarly, for a specific case of Right False, it's clear that the right
pocket holds a value of type Bool (replacing the general "b"), but there's
no information to identify what type might be in the left pocket. So it
remains unspecified.
I hope that helps.
-jn-
On Sat, Sep 18, 2021 at 9:21 PM Galaxy Being
Either returns with its parameters, reversed, but Maybe did not. That's my main question.
On Sat, Sep 18, 2021 at 5:43 PM Francesco Ariis
wrote: Il 18 settembre 2021 alle 17:30 Galaxy Being ha scritto:
:t Just True Just True :: Maybe Bool :t Left True Left True :: Either Bool b :t Right False Right False :: Either a Bool
What am I being told here? It seems are both straightforward parameterized types, but Maybe doesn't give me a type parameter back, while Either does, and in different order, different names (a becomes b; b becomes a) depending on which variable I invoke. What deeper lore am I not seeing here?
When you ask the type of
λ> :t Just True
the interpreter *knows* that that `Maybe` is not just a `Maybe a` (so type constructor and its type parameter) but the /concrete/ type `Maybe Bool`. This would not be the case if we did
λ> :t Nothing Nothing :: Maybe a
Same story with `Either`. Each of the two data constructors (`Left` and `Right`) let the interpreter infer just *one* of the type parameters (the `a` and `b` in `Either a b`). Does this answer your question? _______________________________________________ Beginners mailing list Beginners@haskell.org http://mail.haskell.org/cgi-bin/mailman/listinfo/beginners
-- ⨽ Lawrence Bottorff Grand Marais, MN, USA borgauf@gmail.com _______________________________________________ Beginners mailing list Beginners@haskell.org http://mail.haskell.org/cgi-bin/mailman/listinfo/beginners