Re: how to list all of the real numbers

Ross A. Finlayson wrote:
Then, there would be some consideration of the definition of distinct
points, which I would call definitely distinct, and indefinitely
distinct points.

The continuum of real numbers, where any numbers between zero and one
are real numbers else they wouldn't be between zero and one, including
the nilpotent infinitesimal iota and iota-sums and iota-multiples,
such that infinitely many iota's in multiple equal exactly one, leads
to reformulation of the infinitesimal analysis as infinitesimal
analysis, where that is nonstandard and not necessarily Non-Standard.
Infinity in numbers does actually exist. Then, where natural laws are
expected to correspond to the behavior of mathematically defined
entities, and furthermore be defined as mathematical entities, as in
for example the universe containin itself and is infinite and
construing physical objects as mathematical objects and funcitons
between them as physical objects, eg force fields, the universe
itself is an example of infinite set and powerset identical, the
physical universe. So, in continuum analysis of physical objects,
with the known incongruencies of a sort in the large and small
(paradoxes as it were, effects), there should be considered that there
are appreciable analytic effects in the meso-scale, observable
reality, in basically the notion of the polydimensional point, and
real numbers as beads on a string, structured at once as the complete
ordered field.

Breath-taking.

.

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