Refutation of All Heresies 4.10.2

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: Figures not in harmonic ratios would contradict a harmonious universe.

Greek text · Duncker–Schneidewin, 68

Οἱ δʼ ἐκτεθέντες ὑπὸ Ἀρχιμήδους ἀριθμοὶ καὶ ὑπὸ τῶν ἄλλων περὶ τῶν ἀποστημάτων λεγόμενοι λόγοι εἰ μὴ ἐν συμφώνοις εἶεν λόγοις, τουτέστι τοῖς ὑπὸ Πλάτωνος εἰρημένοις διπλασίοις καὶ τριπλασίοις, ἔξω δὲ συμφωνιῶν εὑρισκόμενοι, οὐκ ἂν σώζοιεν τὸ καθʼ ἁρμονίαν κατεσκευάσθαι τὸ πᾶν·

English · Claude translation

But if the numbers set out by Archimedes and the ratios stated by the others about the distances were not in concordant ratios, that is, in the doubles and triples spoken of by Plato, but were found outside the concords, they would not preserve the principle that the universe has been constructed in harmony;

About this passage

Source

Duncker–Schneidewin, 68 · 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. 4.10.2 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/4/10/2/).

The SBL abbreviation for this work has not been checked yet.

Plain text

Hippolytus, Haer. 4.10.2 (trans. Sophia Scriptura, https://sophiascriptura.com/fathers/hippolytus-refutatio/4/10/2/).