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The Statuesque

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  • Mathew Morrell
    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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