## The Statuesque

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• Probably one of Steiner s most intriguing insights into mathmatics is his idea on the relationship between rational and irrational, positive and negative
Message 1 of 1 , Jun 9, 2004
Probably one of Steiner's most intriguing insights into
mathmatics is his idea on the relationship between rational and
irrational, positive and negative numbers. We can begin to
understand why he attributed negative/irrational numbers with
spiritual realities and positive whole numbers with temperal,
material reality. Numbers, according to the ancients and to most
modern day occultists, represent vital, tangible states of
existence, both material and spiritual, and do not serve only
pragmatic purposes. Athenian, Classical Greece in the time of Plato
focused their religios world-feeling on the present, "as it is," as
become, as fixed, ideal and rational, which is complimentary with
literal, Classical, Euclidean mathmatics and its positive number
system. Anything that could not be deduced to the statuesque, solid
Form-world revulsed and confused them, and hence negative magnitudes
were meaningless and shrouded in dogma. -2 x -3 = 6 was not
imaginable. Even zero had no existence as a number. Although it is
likely that the Pythagorean initiates sensed irrational and negative
numbers they were mystified by their strange, immaterial behaviour.
The function of a square root means something to us, but to them it
didn'. A Trigonomic function no longer exists are as soon as it is
manifests; they appear and disappear, they have no solid, positive,
stereometric geometry that can be solidified in stone. Supposedly,
according to late Greek legend, the man who did discover irrationals
died at sea as if to warn of the dangers that exist outside the
statuesque Ideal. The formless side of mathmatics was unspeakable
in Classical Greek civilization, or better relegated, at least, to
the Pythagorean number cults and the Platonic mystery schools. For,
where on a Euclidean number chart, can you pin point the negative
square root of 5, or an imaginary number, let alone the infinities
that round out Faustian mathmatics. You cannot pin point infinity!
That is why the Greek negated the world view of Babylonian, Egyptian
World-Feeling and their fascination with boundless space and
incomprehensible magnitudes. When negatives or irrationals enter an
equation, as if by magic they seem to work despite their
intangiblity. They come from no where and return to no where, to be
found no more, unchartable except as potential states or as
functions of infinitely indivisible space.
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