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Das Kalenderblatt 091104

Hilbert's Hotel is not a paradox, it is a very bad logical mistake,
from the first paragraph. It is based on the same terrible mistake
that underlies all transfinite math. The mistake is believing that the
word "transfinite" can mean something. What it means in practice is
really "transinfinite." Mathematicians believe that something can
exist beyond infinity.
If you accept the addition of 1 to infinity, then it means that
you don't understand infinity to begin with. All the math that takes
place in the transinfinite is quite simply false. Notice that I do not
say it is physically baseless, or mystical, or avant garde, or any
other half-way adjective. It is false. It is wrong. It is a horrible,
terrible mistake, one that is very difficult to understand. It is
further proof that Modern math and physics have followed the same path
as Modern art and music and architecture. It can only be explained as
a cultural pathology, one where self-proclaimed intellectuals exhibit
the most transparent symptoms of rational negligence. They are
outlandishly irrational, and do not care that they are. They are proud
to be irrational. They believe—due to a misreading of Nietzsche perhaps
—that irrationality is a cohort of creativity. Or it is a stand-in, a
substitute. A paradox therefore becomes a distinction. A badge of
courage. A brave acceptance of Nature's refusal to make sense (as
Feynman might have put it.) If we somehow survive this cultural
pathology, the future will look upon our time in horror and
wonderment. How did we ever reach such fantastic levels of
intellectual fakery and denial, especially in a century steeped in the
warnings of Freud to beware of just this illness?
[Miles Mathis: "Introductory Remarks on Cantor"]
http://milesmathis.com/cant.html

Gruß, WM

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