The usual definition of the continuum is that it is complete - ie all
sequences of numbers have a limit. The rationals are not complete in
this sense. To call the rationals continuous will only cause confusion.
>
> Russell Standish, <R.Standish.domain.name.hidden>, writes:
> > Why do you think the only possibilities are that the universe is
> > either discrete or continuous? For example, the space Q^4 (4-D space
> > built from rational numbers) is neither.
>
> Rational numbers are continuous, by the typical definition. Between
> any two rational numbers there is another (and therefore, an infinite
> number of others).
>
> Hal
>
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Dr. Russell Standish Director
High Performance Computing Support Unit,
University of NSW Phone 9385 6967
Sydney 2052 Fax 9385 6965
Australia R.Standish.domain.name.hidden
Room 2075, Red Centre
http://parallel.hpc.unsw.edu.au/rks
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Received on Sun Jan 16 2000 - 20:08:24 PST