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Parmenides
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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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Parmenides did for science what Plato would later do for morality and aesthetics as well: he alerts us to the fact that opinions are just opinions, and they may differ widely. There may yet be a single truth, which need not be as anyone thought. To search for knowledge is to search for access to the truth, not to collect other people's opinions, and philosophy conducts its unrelenting search for truth in the steps of Parmenides, by respecting sound and rigorous logical argument rather than the variegated tapestry of unexamined opinions.
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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One thing that gains Parmenides a philosophers' merit-award, as the first principles story explained, is the idea of proving his point. Like others at the time, he wrote in magnificent poetry. That was nothing new and nothing strange. But what he wrote didn't just sound good or seem plausible; it also took the reader step by step through an argument. It aimed to demonstrate, without a shadow of doubt, that the conclusion had to be true if the initial assumptions were correct.
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Many aspects of Parmenides's thought remain puzzling even when we have collected all the scraps of evidence from his own writings and those of later thinkers who discussed his views. But his immense significance in philosophical terms has never been obscured by the difficulties in the nitty-gritty of interpretation. For one thing, it is obvious that Parmenides throws at us the challenge of whether we should trust our reason or our senses, in circumstances when they seem to conflict.
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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.
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Perhaps Heraclitus lived before Parmenides, perhaps he lived after, perhaps he lived at the same time. Whichever way, his sayings cry out to be read in their own right, as a radically anti-materialist project unlike anything previously known. They bitterly resist the attempt to package them along with the pre-Parmenidean thinkers; they flourish in a situation in which we are able to juxtapose them with alternatives, such as Parmenides's world view, for which they may indeed have been a foil.
Catherine Rowett
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