Book

The God of Reflections: Understanding Esoteric Mathematics

Sullivan's premise is that mathematics was never neutral equipment. The way we assemble numbers, which digit we start from, how we pair and split them, carries a doctrine, and the modern world counts without noticing the doctrine it is counting in. The book opens by rebuilding the number line the older way, from nought to nine rather than one to ten, and introduces the male and female series that older systems read into odd and even. From there it works through the Pythagorean theorem, not as school geometry but as the ratio by which a Master Mason squares his square, and into the Law of Three, the Triamazikamno, where generator, operator and destroyer echo the Trimurti, the AUM and the Tetragrammaton as one scheme seen from different traditions. The second half belongs to the figures themselves. A spiral of numbers laid out in concentric circles puts the primes on its diagonals, where they form a cross containing the numbers from one to one hundred forty-four. The enneagram's three triangles resolve into the series 9-3-6, 7-1-4 and 8-2-5, and a closing chapter on harmonics returns number to sound. Each step shows its work, and the arithmetic is simple enough to check by hand. The tone is that of a patient instructor rather than a mystagogue, and the book assumes no mathematics beyond school. Readers drawn to sacred geometry, Masonic symbolism, or the old idea of the quadrivium as a spiritual curriculum will find here a coherent map of how number, cosmos and doctrine were once studied as a single subject.

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