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Butherus On the Nature of Numbers in Greek

_On the Nature of Numbers_ is a brief philosophical treatise attributed to an otherwise unknown author named Butherus. The work survives only as a fragment, as indicated by its Greek title, which translates to "Extract." It is preserved in the anthology of Stobaeus, from which its limited content is derived. The treatise explores the metaphysics of number, presenting the monad, or the One, as the fundamental principle of all existence. This principle is described as the origin, measure, and eternal, indivisible foundation of being, from which all other things derive their reality. The text further distinguishes between odd and even numbers, assigning ontological priority and perfection to the odd, as it possesses a beginning, middle, and end. The fragment concludes by identifying the One with substance, nature, and intellect, asserting that all other entities are purified reflections and images of this singular archetype. The subject matter aligns with broader Neopythagorean and Neoplatonic speculations on number, but Butherus himself cannot be placed within any specific philosophical school or tradition, and the work has no documented influence on subsequent thought.

59 (3t) Περὶ ἀριθμῶν Stob. 1.1 pr. 5 p. 18 Wa. (Mullach 2 p. 50) Βουθήρου Περὶ ἀριθμῶν. Ἀριθμὸς ἐκ μονάδων σύγκειται ... ὅπερ ἐστὶν ἀρχὴ τῶν ὄντων καὶ μέτρον καὶ ἀσύνθετον καὶ ἀγένητον καὶ ἀίδιον καὶ μόνον καὶ εἰλικρινές, ὃ χωρὶς τῶν ἄλλων ἐστὶ καὶ αὐτὸ καθ’ ἑαυτὸ καὶ ἀρχὴ καὶ πρώτη φύσις, καὶ μαθεῖν αὐτὸ μηδ’ ἄλλο διορισαμένους μόνον ἐστὶν εἰλικρινὲς αὑτὸ δηλοῦν. Ὁ περισσὸς τοῦ ἀρτίου τελεώτερός ἐστιν. ὁ μὲν γὰρ ἀρχὴν καὶ τέλος καὶ μέσον ἔχει, ὁ δὲ τοῦ μέσου στερεῖται. καὶ ὁ μέν, ὁπόταν γεννῶνται ἀνὰ λόγον καὶ πρὸς μονάδας, ταῖς αὑτοῦ χώραις καταλαμβάνει τοὺς ταῖς γραμμαῖς περιεχομένους· ὁ δ’ ἐν οἰκείᾳ μὲν γινόμενος οὐδέποτε περαίνεται, ὅταν δ’ ἐν περισσῇ γένηται, αὐτός τε πέρατος τυγχάνει καὶ τὴν πλευρὰν λόγον ἔχουσαν ἴσχει. Τὸ ἓν οὐσία καὶ φύσις καὶ νοῦς καὶ μήνυμα· ἀρχὴν γὰρ καὶ μέσον καὶ πέρας ἔχον ἐστί· καὶ τὰ ἄλλα δὲ τούτου μετείληφεν ἃ ἔστι καὶ νοεῖται τῇ τούτου φύσει ἕκαστον ἀπὸ τῶν ἄλλων εἰλικρινούμενον καὶ εἰκών τε καὶ εἴδωλα τοῦ ἑνὸς γιγνόμενα.