Refutation of All Heresies 1.2.10
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: Combining powers and cubes yields the seven numbers from which all things are generated.
Greek text · Duncker–Schneidewin, 10–12
Ὧν καὶ ἐπιπλοκαὶ καὶ μίξεις πρὸς γένεσιν αὐξήσεως γίνονται, κατὰ φύσιν τὸν γόνιμον ἀριθμὸν ἀποτελοῦσαι· ὅταν γὰρ δύναμις αὐτὴ ἐφʼ ἑαυτὴν κυβισθῇ, γέγονε δυναμοδύναμις· ὅταν δὲ δύναμις ἐπὶ κύβον, γέγονε δυναμόκυβος, ὅταν δὲ κύβος ἐπὶ κύβον, γέγονε κυβόκυβος· ὡς γίνεσθαι τοὺς πάντας ἀριθμούς, ἐξ ὧν ἡ τῶν γινομένων γένεσις γίνεται, ἑπτά· ἀριθμὸν, μονάδα, δύναμιν, κύβον, δυναμοδύναμιν, δυναμόκυβον, κυβόκυβον.
English · Claude translation
Of these 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 is multiplied by a cube, a power-cube; when a cube by a cube, a cube-cube; so that all the numbers from which the generation of things that come to be arises are seven: number, monad, power, cube, power-power, power-cube, cube-cube.
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Hippolytus, Haer. 1.2.10 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/1/2/10/).
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Plain text
Hippolytus, Haer. 1.2.10 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/1/2/10/).
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