Das Kalenderblatt 090612

12/06/2009 - 11:39 von WM | Report spam
It seems reasonable that Plato were platonic in Plato's times, but is
certainly surprising the persistence of that primitive way of thinking
in the community of contemporary mathematicians...
[...]
But for those of us who believe in the organic nature of our brains
and in its abilities of perceiving and knowing modelled through more
than 3600 millions years of organic evolution, platonism has no longer
sense. And neither self-reference nor the actual infinity may survive
away from the platonic scenario. On the other hand, it seems
convenient to recall the long and conflictive history of both notions
(would them have been so conflictive if they were consistent?); and
above all their absolute uselessness in order to know the natural
world. Physics and even mathematics could go without both notions.
Experimental sciences as chemistry, biology and geology have never
been related to them. The potential infinity probably suffices. Even
the number of distinguishable sites in the universe is finite. Finite
and discrete: not only matter and energy are discrete entities, space
and time could also be of a discrete -quantum- nature as is being
suggested from some areas of contemporary physics as superstring
theory, loop quantum gravity, euclidean quantum gravity, quantum
computation, or black holes thermodynamics.

[Antonio Leon Sanchez:
EXTENDING CANTOR’S PARADOX
A CRITIQUE OF INFINITY AND SELFREFERENCE]
http://arxiv.org/abs/0809.2135v1

Gruß, WM
 

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#1 Roland Franzius
12/06/2009 - 11:53 | Warnen spam
WM schrieb:
It seems reasonable that Plato were platonic in Plato's times, but is
certainly surprising the persistence of that primitive way of thinking
in the community of contemporary mathematicians...
[...]
But for those of us who believe in the organic nature of our brains
and in its abilities of perceiving and knowing modelled through more
than 3600 millions years of organic evolution, platonism has no longer
sense. And neither self-reference nor the actual infinity may survive
away from the platonic scenario. On the other hand, it seems
convenient to recall the long and conflictive history of both notions
(would them have been so conflictive if they were consistent?); and
above all their absolute uselessness in order to know the natural
world. Physics and even mathematics could go without both notions.
Experimental sciences as chemistry, biology and geology have never
been related to them. The potential infinity probably suffices. Even
the number of distinguishable sites in the universe is finite. Finite
and discrete: not only matter and energy are discrete entities, space
and time could also be of a discrete -quantum- nature as is being
suggested from some areas of contemporary physics as superstring
theory, loop quantum gravity, euclidean quantum gravity, quantum
computation, or black holes thermodynamics.




So bist du also endlich weise geworden und ein Philosoph. Als solcher
darf man Worte, wie die Zahl (man höre, ein ganz neues Wort für
Abbildungen) unterscheidbarer Plàtze (vermutlich Spielplàtze)
hemmungslos zum Gaudi aller plattwalzen oder in die Sonntagspredigt
aufnehmen. Irgendwo in dem Bereich darf dann auch etwas Unendliches
vorkommen, sonst wàr der Glaube abzàhlbar endlich.


Roland Franzious

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