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For thirty years he lived in Athens, where he was the first philosopher to become a well-known teacher in the city that would soon become the hotbed of philosophy.
Empedocles tried to meet the Eleatic challenge by positing four elements that were themselves Parmenidean Reals, out of which the rest of the world arose.
In this way he meant to account for apparent generation, destruction, and change by arguing that these phenomena are, in fact, just the mixing and separating out of the eternal, unchanging elements.
Anaxagoras follows this model, but with some modifications.
In order to better account for the full diversity of objects that populate our world, he posits an infinite number of Parmenidean Reals, called the homeomeric substances.
In a human body, the part is different from the whole.
An Essay On Anaxagoras
When it comes to bone, flesh, and marrow, on the other hand, whole and part are the same.In particular, he posits as the basic constituents of reality all substances without differentiated parts (homeomeric substances).A substance without differentiated parts is a substance that will remain the same substance no matter how small of large a piece of it you have.So, for instance, flesh is a homeomeric substance because a piece of flesh is just a piece of flesh no matter what size.A human body, however, is not a homeomeric substance because a piece of a human body is not the same as a whole human body.Also included are new translations of the ancient testimonia concerning Anaxagoras' life and work, showing the importance of the philosopher and his ideas for his contemporaries and successors.This is a much-needed and highly anticipated examination of Anaxagoras of Clazomenae, one of the forerunners of Greek philosophical and scientific thought.Any substance without differentiated parts, on this view, such as flesh, blood, earth, or fire, counts as a Parmenidean Real.Anaxagoras was born in Clazomenae in Ionia (the land of the Milesians) around 500 B. Like his Milesian predecessors, he was a busy public figure.His metaphysical claim that everything is in everything and his rejection of the possibility of coming to be or passing away are fundamental to all his other views.Because of his philosophical doctrines, Anaxagoras was condemned for impiety and exiled from Athens.