Saturday, February 20, 2016

Summary: atomism of Democritus and Zeno\'s paradoxes

\n\nZenos paradoxes hand over had a significant regard on Democritus. Democritus essay to resolve the bug out of possible motions by introducing different than the Eleatic, a prerequisite non only macrocosm, and thither is winding. up to now, he thought being as atoms, and nothingness as void. Democritus, evidently sought done the doctrine of atoms as well offer resolution infinity paradoxes of Zeno. In fact, in any(prenominal) body thither exists an arbitrarily monumental alone mortal number of atoms, and therefore, it would see there essential be bearing and limit the division, so that the aporia Achilles and dichotomy should wish well to lose its force. However demokritovskoe doctrine of atoms does not give thou for overcoming the paradoxes of infinity wear strictly logical character. Democritus offered his solution, surpassing that put in from which proceeded Zenon: he introduced this decrease problem, which is not allowed under zenonovoy the gesture, however, opened up the prospect bypass any difficulties here. If Eleatics considered problems of numerousness and motion-abstract theory, the theory of Democritus from the head start focused on explanation of the phenomena of the experimental world. About how plentiful method was proposed by Democritus examining the temper shows farther development of experience in which the programme Democritus played a very measurable role.\nDemocritus clarifies the Pythagorean persuasion of monads: it Pythagoreans also base on the self-assertion of indivisible started - units, moreover it was not outdoors that the question of whether these units argon real elements, somatic particles or erect mathematical depicts that do not have measurements. And accordingly they could not put the question about the nature of the continuum. In fact, if there is any withdraw and part of it, as well as any body, is dispassionate of indivisible units of mystic nature, it is also unclear, bounded or innumerous set of these units pass on be a particular discussion section or body. For if these units - point without parts, even an place set of determine ​​does not form, if they - not mathematical points, and strong-arm pebbles, the body of a certain size of it may be large but finite number.\n

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