On Monday, May 13, 2013 2:11:59 PM UTC-7, ManDay wrote:
>
> Could anyone shed a bit of light on this? 
>
> The more I try, the more SAGE's types get in my way.
>

It is pretty much understood by some people in the computer algebra 
system-building community
that "types" or "categories" or similar concepts imposed on users who
understand some mathematics (but maybe not much modern algebra)
 and not much about programming language design and numerical computation,
will fall into holes.

See what happened to Scratchpad / Axiom. It tries and maybe does as
good a job as we know how to do, but users don't go for it.

It is not too surprising to find people falling into holes in the Sage type 
system.

Sorry, no easy solution to everything along these lines has emerged.  So far
as I can tell, Python offers no step forward, and maybe a step backward.

RJF


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