Floats and Rationals Sets

[Chris Smith]

I was just thinking that we don't yet define a Rationals or Floats Set but they could be

Rationals = imageset((x, y), x/y, S.Integers*S.Naturals)
Floats = imageset((x, y), x/2**y, S.Integers, S.Integers)

Containment order would be

Reals contain Rationals contain Floats contain Integers contain Naturals0 contain Naturals

Would there be any advantages to having these defined?

/c

[Aaron Meurer]

We should have a Rationals, defined similarly to the Complexes.

For Floats, I am not so sure. The Floats set you defined would be
every float at every precision. Since floats are always restricted to
some finite precision, I'm not sure if this is useful.

Aaron Meurer

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