Re: The infintely small number b

On Dec 3, 11:31 am, Tony Orlow <t...@xxxxxxxxxxxxx> wrote:

Geometrically, a real number on the line can be thought of in two ways:
as a point on the line, with it's value being the distance to the right
of the origin; or simply as the difference between any ordered pair of
points on the line, the second being to the right (positive) or the the
left (negative) of the first. If one assumes denseness, such that
between any two elements on the line there resides a third, then you
have an infinite set of points in any finite segment. If one postulates
an infinite number of unit segments along that line, representing an
infinite count of points within finite space, it means two points are
infinitely distant from each other on the line representing that count,
whether one of them is the origin or not. (I know that's not standard
theory, but only the way I see it, given "the countability of the
rationals" - sorry) If one postulates such an infinite number, and
applies finitary rules of arithmetic, there exists a reciprocal, which
must be closer to 0 than any real number, and you arrive at an
infinitesimal value.

So, actually infinite numbers, combined with the notion of division,
lead to the notion of infinitely small numbers. Try a unit oo, and see
where that leads.

Above are given no PROOFS from AXIOMS; just crank blather - montage of
mathematical terminology as free floating baloney.

MoeBlee
.

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