Christopher James Huff wrote:
> 
> > All right, but mathematics don't care about double precision
> 
> What branch of mathematics are you thinking of? Computer science is
> largely mathematics, and definitely does care. [...]

I'm talking about those parts of mathematics that consider there are an
infinite number of real numbers between 0 and 1.

I'm not sure about the precise english terms, but math distinguishes
between natural numbers (integers: 1, 2, 3, ...), rational numbers
(numbers that can be represented as a fraction of two natual numbers) and
real numbers (rational numbers and all other numbers like sqrt(2), pi,
etc.).  The latter two categories are those where two consecutive random
numbers from a given range won't be identical (assuming there is a
mathematical definition of random numbers in that category, which i
doubt).

Christoph

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