Working with the set of real numbers
greg.ewing at canterbury.ac.nz
Fri Feb 14 12:30:15 CET 2014
Devin Jeanpierre wrote:
> There is no way to iterate over all the reals one at a time, no matter
> how fast you execute instructions. If you could, it would be trivial
> to show that the reals have the same cardinality as the positive
> integers: correspond n with the whatever is returned by the nth call
> to it.next.
You're assuming that the calls to it.next are discrete
events separated by some nonzero time interval.
A decent transfinite processor would make a continuum
of calls, and execute uncountably many of them in any
finite period of time.
More information about the Python-list