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The riddle of the Indeterminate Dyad has long puzzled students of Plato, starting right with Aristotle. Plato himself never used the term in his extant writings. Yet it is considered to be a key part of his esoteric teachings. Aristotle himself, however, cannot seem to make sense of it. So the riddle dates back to the very beginning. It is solved in this study. The dyad turns out to be a simple algorithm with important implications for number theory, the theory of the number-line, and the foundations of the modern calculus. The book begins with a new interpretation of the notorious geometry...