Note 45 — Chapter VII · ANALYTICA POSTERIORA I.

Ibid. I. xv. p. 79, a. 33-b. 22. The point which Aristotle here especially insists upon is, that there may be and are immediate, undemonstrable, negative (as well as affirmative) predicates: φανερὸν οὖν ὅτι ἐνδέχεταί τε ἄλλο ἄλλῳ μὴ ὑπάρχειν ἀτόμως. (Themistius, Paraphr. p. 48, Spengel: ἄμεσοι δὲ προτάσεις οὐ καταφάσεις μόνον εἰσίν, ἀλλὰ καὶ ἀποφάσεις ὁμοίως αἳ μὴ δύνανται διὰ συλλογισμοῦ δειχθῆναι, αὗται δ’ εἰσὶν ἐφ’ ὧν οὐδετέρου τῶν ὅρων ἄλλος τις ὅλου κατηγορεῖται.) It had been already shown, in an earlier chapter of this treatise (p. 72, b. 19), that there were affirmative predicates immediate and undemonstrable. This may be compared with that which Plato declares in the Sophistes (pp. 253-254, seq.) about the intercommunion τῶν γενῶν καὶ τῶν εἰδῶν with each other. Some of them admit such intercommunion, others repudiate it.