Catherine Rowett - Bodies Quotes

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Whether or not Zeno was merely trying to defend Parmenides from the ridicule of others, there is no doubt that he has pushed the analysis of reality onto a new plane. He makes us think not just about objects in space, but about space as a structure within which they exist; about motion not just as the behaviour of physical bodies, but as a theoretical concept involving conceptual divisions in space and time; about number not just as a way of counting finite bodies but as a rational system potentially (or actually) continuing ad infinitum, with the problematic consequences that that might entail; about the notions of 'before' and 'after' in time, and how long the duration of the present is.

Catherine Rowett
Both Democritus and Anaxagoras try to explain the puzzling behaviour of ordinary reality by appeal to a microscopic replica of reality, in which another set of tiny bodies or minute scraps of stuff move around and cause things to happen. As a way to overcome the difficulty of explaining changes in the world, this ultimately emerges as unsatisfying: if there were problems with explaining chemical and physical events as they appear to us, there will be the same problems with explaining the reactions between smaller and yet smaller bodies.

Catherine Rowett
The Pythagoreans were not the first to think of suggesting a pattern of numbers as key to the distances between the heavenly bodies (Anaximander had already made that breakthrough, a little ahead of Pythagoras). But in the Pythagorean speculations we can see that the notion of harmony, and the power of simple ratios in the tetraktys, has encouraged them to suggest that perfect patterns are what we would expect.

Catherine Rowett