all numbers are rationnal.

Andreas Strotmann strotman at
Wed Jul 21 15:57:59 CEST 1999

> It is interesting to consider other numbers than
> rational numbers but we are all limited to a fixed
> number of digits, we are limited to what is
> constructible (means reachable) in the number of digits.
> (this is from Emile Borel).

Well...  I don't remember the exact details, but isn't

   sum(n=0..infinity, 10^(-(2^n))) = 1.010100010000000100...

an exact transcendental that you can construct and know all digits of,
hence calculate with, analyze, etc...?

[No, I'm NOT proposing to extend an FP representation to handle these ;-]

 - Andreas

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