Plato, Parmenides, section 144a

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Παρμενίδης

Συμποσίον

Φαῖδρος

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[144α] περιττὰ περιττάκις καὶ ἄρτια περιττάκις καὶ περιττὰ ἀρτιάκις.

ἔστιν οὕτω.

εἰ οὖν ταῦτα οὕτως ἔχει, οἴει τινὰ ἀριθμὸν ὑπολείπεσθαι ὃν οὐκ ἀνάγκη εἶναι;

οὐδαμῶς γε.

εἰ ἄρα ἔστιν ἕν, ἀνάγκη καὶ ἀριθμὸν εἶναι.

ἀλλὰ μὴν ἀριθμοῦ γε ὄντος πολλὰ ἂν εἴη καὶ πλῆθος ἄπειρον τῶν ὄντων: ἢ οὐκ ἄπειρος ἀριθμὸς πλήθει καὶ μετέχων οὐσίας γίγνεται;

καὶ πάνυ γε.

οὐκοῦν εἰ πᾶς ἀριθμὸς οὐσίας μετέχει, καὶ τὸ μόριον ἕκαστον τοῦ ἀριθμοῦ μετέχοι ἂν αὐτῆς;

Plato. Platonis Opera, ed. John Burnet. Oxford University Press. 1903.

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