This book develops an authentic and at the same time revolutionary musical analysis of ancient Greek poetry. It departs from the abstract metrical analyses of the past in that it conceives the rhythmic and harmonic elements of poetry as integral to the whole expression, and decisive in the interpretation of its meaning. David offers a thoroughgoing treatment of Homeric poetics: here some remarkable discoveries in the harmonic movement of epic verse, when combined with some neglected facts about the origin of the hexameter in a "dance of the Muses," lead to essential new thinking about the...

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...