“Any Kabalist well acquainted with the Pythagorean system of numerals and geometry can demonstrate that the metaphysical views of Plato were based upon the strictest mathematical principles.
“True mathematics”, says the Magicon, “is something with which all higher sciences are connected; common mathematics is but a deceitful phantasmagoria, whose much-praised infallibility only arises from this – that materials, conditions, and references are made its foundations.”
Scientists who believe they have adopted the Aristotelian method only because they creep when they do not run from demonstrated particulars to universals, glorify this method of inductive philosophy, and reject that of Plato, which they treat as unsubstantial.
Professor Draper laments that such speculative mystics as Ammonius Saccas and Plotinus should have taken the place “of the severe geometers of the old museum.” He forgets that geometry, of all sciences the only one which proceeds from universals to particulars, was precisely the method employed by Plato in his philosophy.
As long as exact science confines its observations to physical conditions and proceeds Aristotle-like, it certainly cannot fail. But notwithstanding that the world of matter is boundless for us, it still is finite; and thus materialism will turn forever in this vitiated circle, unable to soar higher than the circumference will permit.
The cosmological theory of numerals which Pythagoras learned from the Egyptian hierophants, is alone able to reconcile the two units, matter and spirit, and cause each to demonstrate the other mathematically. The sacred numbers of the universe in their esoteric combination solve the great problem and explain the theory of radiation and the cycle of the emanations.
The lower orders before they develop into higher ones must emanate from the higher spiritual ones, and when arrived at the turning-point, be reabsorbed again into the infinite.”
H. P. Blavatsky