Working with the set of real numbers

Gregory Ewing greg.ewing at
Wed Feb 12 23:09:57 CET 2014

Ben Finney wrote:
> That's why I think you need to be clear that your point isn't “computers
> don't work with real numbers”, but rather “computers work only with a
> limited subset of real numbers”.

They actually work with a subset of *rational* numbers.
All floats representable by a computer are rational.

The rationals happen to be a subset of the reals, but
that's kind of beside the point given that a float
can't represent *any* real number that isn't also
a rational.


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