I agree that our best equations to date produce some pretty bizarre
consequences for arbitrary real-valued inputs. I am not yet prepared,
though, to attribute those failures to our mistaken assumption of
continuity rather than simply to the incompleteness of the equations.
When our explanations of nature imply consequences we have not observed,
I am far more willing to suspect or explanations than to assume that
nature actually has some unobserved property. Of course, both are
probably true, and I'd be delighted to discover either one; I'm just
more likely to suspect the theorists' errors than the experimenters'.
-- Lee Daniel Crocker <lee@piclab.com> <http://www.piclab.com/lcrocker.html>