Refutation of All Heresies 6.24.7
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: As numbers are built up by addition and broken down by subtraction,
Greek text · Duncker–Schneidewin, 264
Ὃν γὰρ τρόπον ἀπὸ μονάδος ἀρξάμενοι κατὰ προσθήκην μονάδων ἢ τριάδων καὶ τῶν ἐξῆς ἀθροιζομένων ἀριθμῶν ἕν τι σύστημα ποιοῦμεν μέγιστον ἀριθμοῦ, εἶτα πάλιν ἀπὸ τοῦ κατὰ τὴν σύνθεσιν ἀθροισθέντος ἀφαιρέσει τινὶ καὶ ἀναποδισμῷ λύσιν τῶν συνεστώτων ἀριθμητικῶς ἐργαζόμεθα·
English · Claude translation
For just as, beginning from the monad, by adding monads or triads and the following numbers as they are gathered, we make one very great system of number, and then again, from what has been gathered by composition, by a kind of subtraction and reversal we accomplish arithmetically the dissolution of what has been composed,
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Hippolytus, Haer. 6.24.7 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/6/24/7/).
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Plain text
Hippolytus, Haer. 6.24.7 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/6/24/7/).
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