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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