Re: Relational vs. PICK/Object DBMS

Dawn M. Wolthuis wrote:
> Let's take a problem statement with more than one way to address it.
>
> Prove that f(x) = x2 is a continuous function on the real numbers
>
> Now take two ways of approaching this -- with epsilon-delta proofs in "real
> analysis" and using infinitesimals in "non-standard analysis". It is
> completely legit to ask folks using either approach to "solve this problem"
> (of proving continuity).

Getting a bit OT here, but isn't the rigorous definition of what "continuity" means for a function on the reals couched in terms of epsilon-delta? So really you have to go down that route if you want to be sure logical errors won't creep in.

Paul. Received on Fri Apr 23 2004 - 01:31:11 CEST