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Even if Melissus's analysis of the concept of existence is faulty, his procedure is very interesting. He challenges the data of sense experience by appealing to conceptual truths, facts about what a certain predicate (here 'true') must entail. These facts seem to escape the need to appeal to sense experience. We check up what is true about being true by examining our notion of being true, not by checking any things in the external world. So the argument seems to find a way of challenging the value of sense experience without begging the question. Melissus casts doubt on the senses by privileging the logical grammar of the word 'true'. But, we might ask, did we learn how to use the word 'true' without relying on the senses?
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Often, when thinking about Socrates (or about Plato's depiction of Socrates), we need to remember that he is reacting to the Presocratics, but the reverse is never true.
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For Heraclitus, the logos is something that we need to learn to notice if we are to understand the true significance of the world. It manifests itself all around us but, Heraclitus suggests, only a few intelligent people ever realize what is going on.
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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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Whether or not Pythagoras discovered his own theorem, it is certainly true that Pythagoras and his followers acquired a reputation for mathematical and geometrical investigations. They conducted their mathematics in a spatial way that strikes us as strange: numbers were conceived as lines, squares, triangles, and oblongs, laid out as patterns of counters or pebbles.
Catherine Rowett
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Nobody ever did anything very foolish except from some strong principle.
William Lamb, 2nd Viscount Melbourne
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