All Quotes by Philolaus
“[Number is] the commanding and self-begotten container of the eternal duration of mundane concerns.”
“The ancient theologists and priests... testify that the soul is united with the body as if for the sake of punishment; and so is buried in body as in a sepulchre.”
“There is a fire in the middle at the centre, which is the Vesta of the universe, the house of Jupiter, the mother of the Gods, and the basis coherence and measure of nature.”
“Fragment 1. (Stob.21.7; Diog.#.8.85) The world's nature is a harmonious compound of infinite and finite elements; similar is the totality of the world in itself, and of all it contains.b. All beings are necessarily finite or infinite, or simultaneously finite and infinite; but they could not all be infinite only.”
“Fragment 2. All things, at least those we know, contain number; for it is evident that nothing whatever can either be thought or known, without number. Number has two distinct kinds: the odd, and the even, and a third, derived from a mingling of the other two kinds, the even-odd. Each of its subspecies is susceptible of many very numerous varieties; which each manifests individually.”
“Fragment 3. The harmony is generally the result of contraries; for it is the unity of multiplicity, and the agreement of discordances. (Nicom.Arith.2:509).”