Mathematics and Necessity: Essays in the History of PhilosophyWhy did Plato place mathematics at the heart of education for the rulers of his ideal city? Why has mathematics played such a central role in Western philosophy? And how do we acquire knowledge of necessary truths? The answers to such questions offered by distinguished scholars M.V. Burnyeat, Ian Hacking, and Jonathan Bennett make a significant contribution to our understanding of the great thinkers from ancient to modern philosophy |
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abstract analysis analytic angle answer Archytas argument Aristotle arithmetic astronomy begin Book called certainty claim concept concord context course definition Descartes described dialectic discussion distinction earlier Elements equal Essays Euclid example experience explain expression fact figures follow Forms geometry give given Glaucon Greek harmonics human hypotheses idea kind knowledge later Leibniz less Locke logic look mathe mathematicians mathematics matter means measure mind modal motions namely nature necessary necessity never objects once philosophers Plato possible present principle priori problem proof proportion proposition proved pure question ratios readers reason refer relation Remarks represented Republic result rules sciences sense sentences side Socrates soul speaking square suggest supposed theorem theory things thought Timaeus tion translation triangle true truth turn understanding unit University whole Wittgenstein
Referanser til denne boken
Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King Carl Huffman Begrenset visning - 2005 |
Plato on Parts and Wholes: The Metaphysics of Structure Verity Harte Ingen forhåndsvisning tilgjengelig - 2005 |