Empedocles holds that the corporeal elements are four, while all the elements-including those which initiate movement-are six in number; whereas Anaxagoras agrees with Leucippus and Democritus that the elements are infinite.
Anaxagoras said to a man who was grieving because he was dying in a foreign land, "The descent to Hades is the same from every place."
To his [ Plato's ] great disappointment, he found Anaxagoras adducing simple physical reasons, instead of the teleological reasons, which he had expected. Such a teacher could no longer allure him.george henry lewes
Parmenides made it clear for the first time that the Immortal Principle, the One, Truth , God , is separate from appearance and from opinion , and the importance of this separation and its effect upon subsequent history cannot be overstated. It's here that the classic mind , for the first time , took leave of its romantic origins and said, "The Good and the True are not necessarily the same," and goes its separate way. Anaxagoras and Parmenides had a listener named Socrates who carried their ideas into full fruition.
About the time of Anaxagoras, but isolated from the Ionic school, flourished Œnopides of Chios. Proclus ascribes to him the solution of the following problems: From a point without, to draw a perpendicular to a given line, and to draw an angle on a line equal to a given angle. That a man could gain a reputation by solving problems so elementary as these, indicates that geometry was still in its infancy, and that the Greeks had not yet gotten far beyond the Egyptian constructions.