On 1 October 2015 at 15:10, William Stein <wst...@gmail.com> wrote:
> On Thu, Oct 1, 2015 at 12:00 PM, Bill Page <bill.p...@newsynthesis.org> wrote:
>> ...  Clearly the related? concept of
>> "element" is borrowed from category theory - maybe even topos theory?
>
> Yes, parents and elements are from Magma.  To me they have nothing to
> do with category theory.  Category theory is one level up, and is
> about abstracting away from thinking about parents and elements (and
> instead thinking about objects, morphisms, and functors).    Just as
> Bill Hart said, the parent/element approach in magma is very useful,
> and inspired Sage and Nemo, but isn't category theory.
>

Thanks. I was thinking of elements as morphisms, as in that branch of
category theory.

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