Re: infinity

In article <MPG.1db05d42f9f0adcf98a428@xxxxxxxxxxxxxxxxxxxxxxxxx>,
Tony Orlow <aeo6@xxxxxxxxxxx> wrote:


> There is no largest finite difference, so the exact range cannot be
> known, as I have repeatedly said. However, all differences are
> finite, none are infinite, and so the range is finite, but as
> indeterminate as the largest finite. If the LUB of the differences is
> not in the set of differences then the range is <LUB. The range MUST
> be a member of the set of differences.

Thus TO's "range" must be always some member of the set of differences,
and so for every unbounded set there must be larger differences than the
range.

The diameter of a set is never smaller than a distance between points in
the set, but by TO's latest definition, "value ranges" can be, and
sometimes must be.
.

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