Note 29 — Chapter I · SPECULATIVE PHILOSOPHY IN GREECE, BEFORE AND IN THE TIME OF SOKRATES.
Reading edition
Philolaus, ed. Boeckh, p. 139. seqq.
Θεωρεῖν δεῖ τὰ ἔργα καὶ τὰν ἐσσίαν (οὐσίαν) τῶ ἀριθμῶ καττὰν δύναμιν, ἅτις ἐντὶ ἐν τᾷ δεκάδι· μεγάλα γὰρ καὶ παντελὴς καὶ παντοεργὸς καὶ θείω καὶ οὐρανίω βίω καὶ ἀνθρωπίνω ἀρχὰ καὶ ἁγεμὼν ... ἄνευ δὲ ταύτας πάντα ἄπειρα καὶ ἄδηλα καὶ ἀφανῆ· νομικὰ γὰρ ἁ φύσις τῶ ἀριθμῶ καὶ ἁγεμονικὰ καὶ διδασκαλικὰ τῶ ἀπορουμένω παντὸς καὶ ἀγνοουμένω παντί. Compare the Fr. p. 58, of the same work.
According to Plato, as well as the Pythagoreans, number extended to ten, and not higher: all above ten were multiples and increments of ten. (Aristot. Physic. iii. 6, p. 203, b. 30).