On Tuesday, March 11, 2014 6:21:19 PM UTC-4, Nicolas M. ThiƩry wrote:
>
> On Mon, Mar 10, 2014 at 11:36:01AM -0700, Niles Johnson wrote: 
>
 

> > After scanning the ticket discussion and documentation, I 
> >    think the purpose is to provide some way of mixing in some (but 
> >    not all) methods from one class to another.  And it is desirable 
> >    that these be "top-level" methods -- that makes sense too. 
>
> Hmm, I am not sure to see what you mean. See below too. 
>

I think I was trying to understand what practical thing an axiom 
accomplishes, and I thought it was basically just a way of letting certain 
methods from instances of class A be called from instances of class B.  But 
it's more than that . . .
 

>
> For me, an axiom A is just a predicate on the objects of the category 
> Cs() defining it. Then, for each subcategory Ds() of Cs(), you can 
> consider the full subcategory Ds().A() of the objects of Ds satisfying 
> the axiom. And, if relevant, implement that category to provide 
> methods for those objects and their elements. 
>

Thanks for clarifying.

-Niles

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