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Zeno of Elea (born ca. 490 BC) was a Greek philosopher and logician. A member of the Eleatic school of philosophy, he was famous throughout antiquity for the rigorously logical and devastating arguments which he used to show the absurditie...
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About 34 pages (10,170 words) in 6 products |
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Arguments by which Zeno of Elea upheld the doctrine of Parmenides that real Being is unique and unchanging. Zeno's arguments were aimed at discrediting the beliefs in plurality and motion that were inconsistent with Parmenides' doctrine. H...
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About 28 pages (8,415 words) in 3 products |
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The German mathematician Georg Cantor (1845-1918) began a revolution in mathematics when invented the theory of sets in the 1870s. The parts of his theory dealing with infinite sets were the most controversial at that time. In an 1874 arti...
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About 9 pages (2,814 words) in 2 products |
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Zeta-function is the name given to certain functions of the complex variable s = + it that play a fundamental role in analytic number theory. The most important example is the Riemann zeta-function z(s). In the right half plane {s ∈ ...
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About 3 pages (1,023 words) in 2 products |
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Zorn's lemma, the well-ordering principle and the axiom of choice are three equivalent propositions. It has been said that from appearances, the axiom of choice has to be true, the well-ordering principle has to be false and Zorn's lemma i...
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About 6 pages (1,807 words) in 2 products |
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