← Diogenes Laertius

Lives and Opinions of Eminent Philosophers

§10.1.41-10.1.46

Atoms, Infinity of the Void, and Motion of Images

Epicurus demonstrates the indivisibility and immutability of atoms, alongside the infinity of the universe, void, and atomic multitude; he then explains the eternal motion of atoms, the existence of infinite worlds, and the generation of atomic images (eidola) traveling through the void at incomprehensible speed.

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ταῦτα δέ ἐστιν ἄτομα καὶ ἀμετάβλητα, εἴπερ μὴ μέλλει πάντα εἰς τὸ μὴ ὂν φθαρήσεσθαι, ἀλλʼ ἰσχύοντα ὑπομένειν1 ἐν ταῖς διαλύσεσι τῶν συγκρίσεων, πλήρη τὴν φύσιν ὄντα, οἷα δὴ οὐκ ἔχοντα ὅπῃ ἢ ὅπως διαλυθήσεται. ὥστε τὰς ἀρχὰς ἀτόμους ἀναγκαῖον εἶναι σωμάτων φύσεις. “Ἀλλὰ μὴν καὶ τὸ πᾶν ἄπειρόν ἐστι. τὸ γὰρ πεπερασμένον ἄκρον ἔχει· τὸ δὲ ἄκρον παρʼ ἕτερόν τι θεωρεῖται· 〈τὸ δὲ πᾶν οὐ παρʼ ἕτερόν τι θεωρεῖται·〉 ὥστε οὐκ ἔχον ἄκρον πέρας οὐκ ἔχει· πέρας δὲ οὐκ ἔχον ἄπειρον ἂν εἴη καὶ οὐ πεπερασμένον. “Καὶ μὴν καὶ τῷ πλήθει τῶν σωμάτων ἄπειρόν ἐστι τὸ πᾶν καὶ τῷ μεγέθει τοῦ κενοῦ.

​And these are indivisible and unchangeable, if indeed not all things are to be destroyed into non-existence, but are to have the strength to endure in the dissolutions of compounds, being full in nature, as having neither where nor how they will be dissolved. So that it is necessary that the first principles be indivisible natures of bodies. "Moreover, the universe is infinite. For that which is bounded has an extreme point; and the extreme point is observed next to something else; 〈and the universe is not observed next to something else;〉 so that, having no extreme point, it has no limit; and having no limit, it must be infinite and not bounded. "Furthermore, the universe is infinite both in the multitude of bodies and in the magnitude of the void.

εἴ τε γὰρ ἦν τὸ κενὸν ἄπειρον, τὰ δὲ σώματα ὡρισμένα, οὐθαμοῦ ἂν ἔμενε τὰ σώματα, ἀλλʼ ἐφέρετο κατὰ τὸ ἄπειρον κενὸν διεσπαρμένα, οὐκ ἔχοντα τὰ ὑπερείδοντα καὶ στέλλοντα κατὰ τὰς ἀνακοπάς2· εἴ τε τὸ κενὸν ἦν ὡρισμένον, οὐκ ἂν εἶχε τὰ ἄπειρα σώματα ὅπου ἐνέστη. “Πρός τε τούτοις τὰ ἄτομα τῶν σωμάτων καὶ μεστά, ἐξ ὧν καὶ αἱ συγκρίσεις γίνονται καὶ εἰς ἃ διαλύονται, ἀπερίληπτά ἐστι ταῖς διαφοραῖς τῶν σχημάτων· οὐ γὰρ δυνατὸν γενέσθαι τὰς τοσαύτας διαφορὰς ἐκ τῶν αὐτῶν σχημάτων περιειλημμένων. καὶ καθʼ ἑκάστην δὲ σχημάτισιν ἁπλῶς ἄπειροί εἰσιν αἱ ὅμοιαι, ταῖς δὲ διαφοραῖς οὐχ ἁπλῶς

​For if the void were infinite and the bodies bounded, the bodies would not remain anywhere, but would be borne scattered throughout the infinite void, having nothing to support or check them by rebounds; and if the void were bounded, the infinite bodies would not have where to be. "In addition to these points, the indivisible and solid constituents of bodies, from which compounds also come into being and into which they are dissolved, are incomprehensible in the differences of their shapes; for it is not possible that so many differences should arise from the same comprehended shapes. And in each shaping, those that are similar are simply infinite, but in their differences they are not simply

ἄπειροι ἀλλὰ μόνον ἀπερίληπτοι, [οὐδὲ γάρ φησιν ἐνδοτέρω εἰς ἄπειρον τὴν τομὴν τυγχάνειν. λέγει δέ, ἐπειδὴ αἱ ποιότητες μεταβάλλονται, εἰ μέλλει τις μὴ καὶ τοῖς μεγέθεσιν ἁπλῶς εἰς ἄπειρον αὐτὰς ἐκβάλλειν]. “Κινοῦνταί τε συνεχῶς αἱ ἄτομοι [φησὶ δὲ ἐνδοτέρω καὶ ἰσοταχῶς αὐτὰς κινεῖσθαι τοῦ κενοῦ τὴν εἶξιν ὁμοίαν παρεχομένου καὶ τῇ κουφοτάτῃ καὶ τῇ βαρυτάτῃ.] τὸν αἰῶνα, καὶ αἱ μὲν εἰς μακρὰν ἀπʼ ἀλλήλων διιστάμεναι, αἱ δὲ αὐτοῦ τὸν παλμὸν ἴσχουσιν, ὅταν τύχωσι τῇ περιπλοκῇ κεκλειμέναι ἢ στεγαζόμενοι παρὰ τῶν πλεκτικῶν.

​infinite, but only incomprehensible, 〔for he says further on that division does not occur to infinity; and he says this because qualities change, if one is not also simply going to expand them to infinity in sizes〕. "And the atoms move continuously throughout eternity—〔and he says further on that they move at equal speed, since the void offers the same yield both to the lightest and to the heaviest〕—and some of them diverge to a great distance from one another, while others retain their vibration on the spot, whenever they happen to be confined by intertwining or enclosed by intertwining atoms.

“Ἥ τε γὰρ τοῦ κενοῦ φύσις ἡ διορίζουσα ἑκάστην αὐτὴν τοῦτο παρασκευάζει, τὴν ὑπέρεισιν οὐχ οἵα τε οὖσα ποιεῖσθαι· ἥ τε στερεότης ἡ ὑπάρχουσα αὐταῖς κατὰ τὴν σύγκρουσιν τὸν ἀποπαλμὸν ποιεῖ, ἐφʼ ὁπόσον ἂν ἡ περιπλοκὴ τὴν ἀποκατάστασιν ἐκ τῆς συγκρούσεως διδῷ3. ἀρχὴ δὲ τούτων οὐκ ἔστιν, ἀιδίων τῶν ἀτόμων οὐσῶν καὶ τοῦ κενοῦ. [φησὶ δʼ ἐνδοτέρω μηδὲ ποιότητά τινα περὶ τὰς ἀτόμους εἶναι πλὴν σχήματος καὶ μεγέθους καὶ βάρους· τὸ δὲ χρῶμα παρὰ τὴν θέσιν τῶν ἀτόμων ἀλλάττεσθαι ἐν ταῖς Δώδεκα στοιχειώσεσί φησι. πᾶν τε μέγεθος μὴ εἶναι περὶ αὐτάς· οὐδέποτε γοῦν ἄτομος ὤφθη αἰσθήσει.]

​For both the nature of the void, which demarcates each atom, brings this about, being incapable of providing support; and the solid hardness inherent in them produces the rebound in collision, to whatever extent the intertwining allows recovery from the collision. And of these movements there is no beginning, the atoms and the void being eternal. 〔And he says further on that there is no quality belonging to the atoms except shape, size, and weight; and that color changes depending on the position of the atoms, as he says in the Twelve Elementary Expositions; and that not every size belongs to them, for at any rate an atom has never been seen by sense-perception.〕

“Ἡτοσαύτη δὴ φωνὴ τούτων πάντων μνημονευομένων τὸν ἱκανὸν τύπον ὑποβάλλει 〈ταῖς περὶ〉 τῆς τῶν ὄντων φύσεως ἐπινοίαις. “Ἀλλὰ μὴν καὶ κόσμοι ἄπειροί εἰσιν, οἵ θʼ ὅμοιοι τούτῳ καὶ ἀνόμοιοι. αἵ τε γὰρ ἄτομοι ἄπειροι οὖσαι, ὡς ἄρτι ἀπεδείχθη, φέρονται καὶ πορρωτάτω. οὐ γὰρ κατανήλωνται αἱ τοιαῦται ἄτομοι, ἐξ ὧν ἂν γένοιτο κόσμος ἢ ὑφʼ ὧν ἂν ποιηθείη, οὔτʼ εἰς ἕνα οὔτʼ εἰς πεπερασμένους, οὔθʼ ὅσοι τοιοῦτοι οὔθʼ ὅσοι διάφοροι τούτοις. ὥστε οὐδὲν τὸ ἐμποδοστατῆσόν ἐστι πρὸς τὴν ἀπειρίαν τῶν κόσμων.

"Now, this much utterance provides a sufficient outline for reflections concerning the nature of things, if all these points are remembered. "Moreover, worlds are infinite, both those like this one and those unlike it. For since the atoms are infinite, as has just been demonstrated, they are carried even to the furthest distance. For such atoms, from which a world might come into being or by which it might be made, have not been used up, neither upon a single world nor upon a finite number of them, neither upon all such as this one nor upon all such as are different from it. So that there is nothing that will stand in the way of the infinity of worlds.

“Καὶμὴν καὶ τύποι ὁμοιοσχήμονες τοῖς στερεμνίοις εἰσί, λεπτότησιν ἀπέχοντες μακρὰν τῶν φαινομένων. οὔτε γὰρ συστάσεις ἀδυνατοῦσιν ἐν τῷ περιέχοντι γίνεσθαι τοιαῦται οὔτʼ ἐπιτηδειότητες πρὸς κατεργασίας τῶν κοιλωμάτων καὶ λεπτοτήτων γίνεσθαι, οὔτε ἀπόρροιαι τὴν ἑξῆς θέσιν καὶ βάσιν διατηροῦσαι, ἥνπερ καὶ ἐν τοῖς στερεμνίοις εἶχον· τούτους δὲ τοὺς τύπους εἴδωλα προσαγορεύομεν. καὶ μὴν καὶ ἡ διὰ τοῦ κενοῦ φορὰ κατὰ μηδεμίαν ἀπάντησιν τῶν ἀντικοψόντων γινομένη πᾶν μῆκος περιληπτὸν ἐν ἀπερινοήτῳ χρόνῳ συντελεῖ. βράδους γὰρ καὶ τάχους ἀντικοπὴ καὶ οὐκ ἀντικοπὴ ὁμοίωμα λαμβάνει4.

"Furthermore, there are outlines having the same shape as solid bodies, far surpassing phenomenal objects in thinness. For it is not impossible either that such combinations should come to be in the surrounding space, or that aptitudes for the fabrication of cavities and thinnesses should occur, or that effluences should occur which preserve the sequential position and motion which they held in solid bodies; and these outlines we call images. Moreover, motion through the void, occurring without any encounter with resisting bodies, accomplishes every comprehended length in an unimaginable time. For resistance and non-resistance assume the likeness of slowness and swiftness.

Syntax notes4 items
  1. 10.1.41ἀλλʼ ἰσχύοντα ὑπομένειν

    The participles ἰσχύοντα, ὄντα, and ἔχοντα agree with the neuter plural subject ταῦτα (or behave as accusative of respect/supplementary participles after the negative conditional clause εἴπερ μὴ μέλλει...). They supply the positive ground contrasting with destruction into non-existence, explaining why atoms must endure.

  2. 10.1.42οὐκ ἔχοντα τὰ ὑπερείδοντα καὶ στέλλοντα κατὰ τὰς ἀνακοπάς

    The substantivized participles τὰ ὑπερείδοντα and στέλλοντα serve as the objects of ἔχοντα. The prepositional phrase κατὰ τὰς ἀνακοπάς ("by means of rebounds / collisions") modifies στέλλοντα ("checking"), describing the lack of resistance that bodies would face in an infinite void.

  3. 10.1.44ἐφʼ ὁπόσον ἂν ἡ περιπλοκὴ τὴν ἀποκατάστασιν ἐκ τῆς συγκρούσεως διδῷ

    The relative clause with ἐφʼ ὁπόσον ἄν and subjunctive διδῷ denotes a conditional limitation: "to whatever extent the intertwining allows recovery from the collision." ἀποκατάστασις refers to the restoration or rebound movement resulting from impact.

  4. 10.1.46βράδους γὰρ καὶ τάχους ἀντικοπὴ καὶ οὐκ ἀντικοπὴ ὁμοίωμα λαμβάνει

    A hyperbaton occurs here. The compound subject is ἀντικοπὴ καὶ οὐκ ἀντικοπὴ ("resistance and non-resistance"), the main verb is λαμβάνει, and the direct object is ὁμοίωμα, modified by the genitives βράδους καὶ τάχους: literally, "resistance and non-resistance take on the likeness of slowness and swiftness" (i.e. they correspond respectively to slowness and swiftness).

Model: gemini-3.8-flashurn:cts:greekLit:tlg0004.tlg001.humanitext-grc2:10.1.41-10.1.46