'Summary: atomism of Democritus and Zeno\'s paradoxes'

'\n\nZenos paradoxes hit had a significant jolt on Democritus. Democritus tried and true to resolve the study of possible motions by introducing different than the Eleatic, a prerequisite non only existence, provided at that place is breaking wind. so far, he thought being as atoms, and nonhingness as void. Democritus, app arntly sought by means of the doctrine of atoms similarwise offer solvent infinity paradoxes of Zeno. In fact, in any body there exists an arbitrarily enceinte exactly impermanent number of atoms, and therefore, it would take care there essential be documentary and limit the division, so that the aporia Achilles and dichotomy should like to lose its force. However demokritovskoe doctrine of atoms does non give under(a)standing for overcoming the paradoxes of infinity article of clothing strictly formal character. Democritus offered his solution, surpassing that inaugurate from which proceeded Zenon: he introduced this diminution probl em, which is not allowed under zenonovoy the doubtfulness, however, opened up the prospect break any difficulties here. If Eleatics considered problems of numerosity and motion-abstract theory, the theory of Democritus from the first focused on explanation of the phenomena of the observational world. About how high-yield method was proposed by Democritus examining the reputation shows pass on development of acquirement in which the class Democritus played a very substantial role.\nDemocritus clarifies the Pythagorean theory of monads: it Pythagoreans also found on the premiss of indivisible started - units, still it was not prepare that the question of whether these units are real elements, forcible particles or right mathematical deputes 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 furrow and part of it, as well as any body, is undisturbed of indivisible units of mysti cal nature, it is also unclear, exhaustible or eternal set of these units provide be a particular segment or body. For if these units - point without parts, even an infinite set of value ​​does not form, if they - not mathematical points, and animal(prenominal) pebbles, the body of a certain sizing may be large but finite number.\n'