ὑπὸ δὲ τῆς φιλαυτίας παρηγμένοι ἄλογα φασὶν τὰ ζῷα ἐφεξῆς τὰ ἄλλα σύμπαντα → it is self-love which leads them to say that all the other animals without exception are non-rational
προδοῦναι: απαρ. αορ. βʹ του προδίδωμι· προδούς, μτχ.