> Finally, I should note that I do not agree with Ralf's views (quoting > Doye's article on Aldor) on the importance of universal algebra > notions to categories in Axiom.
Maybe it belongs somewhere else, but how would you explain to someone who is new to Aldor/panAxiom, what the concept of "category" in the Aldor/panAxiom language is? That is a language concept. Then comes the question whether an Axiom category is in some way related to some known mathematical concept. For me order-sorted algebras match quite well while (mathematical) category doesn't (even if that might have been the original motivation for the name in Axiom). > But I do think that this article is very relevant to the subject of > coercions in computer algebra and so also important in Sage. Oh, yes, good that you mention that. After I read that thesis I thought that the language actually should somehow support that it should not matter, which coercion path one follows to arrive at a certain type. The result should be the same. But I guess, such a check is undecidable. Ralf --~--~---------~--~----~------------~-------~--~----~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---