07-25-2004, 10:09 AM
<!--QuoteBegin-Sridatta+Jul 25 2004, 08:19 AM-->QUOTE(Sridatta @ Jul 25 2004, 08:19 AM)<!--QuoteEBegin-->
I think <b>"continuum"</b> would be a good word to describe the concept.
The dictionary defines <i>continuum</i> as : continuous extent, whole, no part of which can be distinguished from neighboring parts except by arbitrary division.
In mathematical parlance there are two connotations for continuum:
1. A set having the same number of points as all the real numbers in an interval.
2. The set of all real numbers.
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Perhaps that won't do, real line/interval can be partitioned up in a variety of ways : into further intervals, into rationals and irrationals etc.
I think <b>"continuum"</b> would be a good word to describe the concept.
The dictionary defines <i>continuum</i> as : continuous extent, whole, no part of which can be distinguished from neighboring parts except by arbitrary division.
In mathematical parlance there are two connotations for continuum:
1. A set having the same number of points as all the real numbers in an interval.
2. The set of all real numbers.
<!--QuoteEnd--><!--QuoteEEnd-->
Perhaps that won't do, real line/interval can be partitioned up in a variety of ways : into further intervals, into rationals and irrationals etc.