Re: Is continuum completely filled up?

Eckard Blumschein wrote:
On 1/4/2007 1:53 PM, Albrecht wrote:

I see such misconceptions related to Cantorian naivity. Refer to
Galilei's clarity, instead: There is no amount of elements inside any
piece of continuum.

With 1) math is unable to explain expansion, extent and measure.

Only as long as it follows Dedekind, Cantor, and other trolls.

2) is consistent to our experience that we can found as many points on
a line as we want. But than we must consider that lines consist of
lines, and nothing more. Points are properties of lines but not parts.
Infinitely many points denotes the incapability to have them all. In
this view there is no actual infinity.

Be not stupoid, follow Leibniz. Accept infinity and the reals like
valuable fictions. Calculate as if they were rationals if admissible.

The set theory is based on the view 1).

No. Even worse, set theory is based on schizophrenia in re.
Cantor's definition of a set claimed to allow both options at a time.
Therefore its torso has beem mumified into ZFC axioms.

All very poetic. Unfortunately, the mathematical content of what you
wrote is zero. If you have anything mathematical to say, please state
your theorem and proof. Oh, and we are still waiting for your proof that
the functions you were asked about are continuous or not.

--
David Marcus
.

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