Refutation of All Heresies 4.51.8
Authorship disputed: The work names no author. Book 1 was long printed among Origen's works as the Philosophumena; after books 4–10 were found in a manuscript from Mount Athos (published 1851), it was assigned to Hippolytus, the usual view today, though some scholars ascribe it to another Roman writer of the same circle. Books 2 and 3 are lost, and book 4 lacks its beginning.
Summary: The seven kinds of number generate all things.
Greek text · Duncker–Schneidewin, 126
Ταύτης τῆς δεκάδος, τοῦ τελείου ἀριθμοῦ, τὰ τέσσαρα καλεῖται μέρη· ἀριθμός, μονάς, δύναμις, κύβος, οἷς ἐπιπλοκαὶ καὶ μίξεις πρὸς γένεσιν αὐξήσεως γίνονται, κατὰ φύσιν τὸν γόνιμον ἀριθμὸν ἐπιτελοῦσαι· ὅταν γὰρ δύναμις αὐτὴ ἐφʼ ἑαυτὴν κυβισθήσεται, γέγονε δυναμοδύναμις, ὅταν δὲ δύναμις ἐπὶ κύβον, γέγονε δυναμόκυβος, ὅταν δὲ κύβος ἐπὶ κύβον, γέγονε κυβόκυβος· ὡς γίνεσθαι τοὺς πάντας ἀριθμοὺς ἑπτά, ἵνα ἡ τῶν γενομένων γένεσις γένηται ἐξ ἑβδομάδος, ἥτις ἐστίν· ἀριθμός, μονάς, δύναμις, κύβος, δυναμοδύναμις, δυναμόκυβος, κυβόκυβος.
English · Claude translation
Of this decad, the perfect number, the four parts are called number, monad, power, cube, of which there come interweavings and mixtures for the generation of increase, completing the fruitful number according to nature. For when a power is cubed upon itself, it becomes a power-power; when a power by a cube, a power-cube; when a cube by a cube, a cube-cube; so that all the numbers become seven, so that the generation of things that come to be arises from the hebdomad, which is: number, monad, power, cube, power-power, power-cube, cube-cube.
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Hippolytus, Haer. 4.51.8 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/4/51/8/).
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Plain text
Hippolytus, Haer. 4.51.8 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/4/51/8/).
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