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,

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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,

About this passage

Source
Duncker–Schneidewin, 264 · Ludwig Duncker and F. G. Schneidewin, eds., S. Hippolyti episcopi et martyris Refutationis omnium haeresium librorum decem quae supersunt (Göttingen: Dieterich, 1859); section divisions from Paul Wendland, ed., Hippolytus Werke 3: Refutatio omnium haeresium, GCS 26 (Leipzig: Hinrichs, 1916) · Greek text: L. Duncker and F. G. Schneidewin, Refutationis omnium haeresium (Göttingen, 1859), digitized by the Perseus Digital Library; section divisions from P. Wendland (GCS 26, 1916), digitized by the First Thousand Years of Greek project (Open Greek and Latin); both CC BY-SA 4.0
Text
As printed in Duncker–Schneidewin. Manuscript variants and the editor's apparatus are not reproduced; no textual problem is noted in this passage.
Translation
Claude translation (claude-opus-5-5), 2026-09-27 · Translated by Claude from the Greek text of Duncker–Schneidewin; made independently of existing English translations.
Compare
Ante-Nicene Fathers, vol. 5 (1886) (an older public-domain English translation, whole volume at CCEL; checked against ours only after ours was made) · Its chapter numbers differ from the standard (Wendland) numbering used here.

Cite this passage

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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