In this article, both Anaxagoras' theory of multiple worlds and the principles of his theory of matter are examined. It is argued that the five principles, which are set out explicitly in the extant fragments, (No Becoming, Indefinite Types, Universal Mixture, Predominance, and Infinite Divisibility) form a consistent set. Further, it is argued that the principle of Homoeomereity, which Anaxagoras attributes to Anaxagoras, is consistent with Anaxagoras' other principles and is likely to be a genuine principle of Anaxagoras' physics.

Introduction“What reason is there to suppose that those who did know Parmenides’ poem necessarily thought that he had raised a real problem which they must try to deal with? Empedocles, perhaps also Anaxagoras, knew the poem, but they pursue a very different kind of philosophy from Zeno and Melissus: why, then, must we suppose that they are seeking an alternative answer to the problem posed by Parmenides, and that their ultimate material elements are to be seen as modifications of the (...) Eleatic ἓν έόν?“These rhetorical questions, taken from M. L. West's recent book,Early Greek Philosophy and the Orient,make a useful starting point for this inquiry. They are, of course, what the grammar books call “repudiating questions“: the answer hoped for is “no reason“. The argument with which Mr. West goes on to support his negative implication is not likely to convince many students of the Presocratics. He determinedly makes light of Parmenides’ chains of argument, apparently on the ground that “these were not the actual stages of Parmenides’ thinking” — as if Parmenides ought to have been writing his intellectual autobiography instead of a philosophical argument. (shrink)

In this article, both Anaxagoras’ theory of multiple worlds and the principles of his theory of matter are examined. It is argued that the five principles, which are set out explicitly in the extant fragments, (No Becoming, Indefinite Types, Universal Mixture, Predominance, and Infinite Divisibility) form a consistent set. Further, it is argued that the principle of Homoeomereity, which Anaxagoras attributes to Anaxagoras, is consistent with Anaxagoras’ other principles and is likely to be a genuine principle of Anaxagoras’ physics.