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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
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Plato's metaphysics grew out of that of Parmenides, together with a strong feel for Heraclitus's account of the physical world as a world of incessant change. His ethics were deeply inspired by Socrates, but his views on the soul also pick up on motifs that emerge in Pythagoras.
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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.
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The distinction between knowledge and belief is a theme that continues throughout Greek philosophy, emerging crucially in the central works of Plato. In Plato it recurs together with the idea, hinted at here in Xenophanes and taken to extremes in Parmenides and Zeno, that there may be a problem about the relation between physical objects as they seem to be and the metaphysical reality as it really is.
Catherine Rowett
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When the moon is in the seventh house, And Jupiter aligns with Mars, Then peace will guide the planets, And love will steer the stars; This is the dawning of the age of Aquarius.
James Rado
Catherine Rowett
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