[Aldor-l] [Axiom-math] Are Fraction and Complex domains.
Gabriel Dos Reis
gdr at integrable-solutions.net
Thu May 11 19:13:36 EDT 2006
Ralf Hemmecke <ralf at hemmecke.de> writes:
[...]
| But of course, I could live with that identification if it is clearly
| documented that ()->Cat can be identified with Cat. Where are our
| category experts? I believe there is a distinction here, n'est pas?
>From Category Theory point of view, a constant x of type T is the same
as the (unique) morphism x : 1 -> T, where 1 is the one-point set.
Now, I also understand that beyond the name, Aldor's catagories are
not mathematical categories; so....
My practice of functional programming suggests that the identification
is useful in many cases, than keeping the artifice. But YMMV.
-- Gaby
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