On Jun 3, 2008, at 10:04 PM, Robert Bradshaw wrote:

>> How does it related to the
>> concept of "parent" - which seems equally ill-defined to me?
>
> A Parent is an Object in the category of Sets,

huh? Don't you mean to say something more like "a parent is an object  
of a concrete category", i.e. a category C with a faithful functor  
f : C -> Set, such that the "elements" (as understood by Sage) of the  
parent P are exactly the elements of f(P)?

> though in the context
> of coercion one usually assumes one can some kind of arithmetic
> (binary operations) on their elements.

david


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