Imaginary Docks
@ImaginaryDocks
Ogni volta che guardo il tuo viso, vedo un giardino in paradiso.
82 okur puanı
Mart 2022 tarihinde katıldı
0-30p: Kontrollü okuyucu 📖
40-70p: Hafif bağımlı 👀
80p+: Geçmiş olsun, kitaplar seni ele geçirmiş 😅
Absolute continuity of motion is not comprehensible to the human mind. Laws of motion of any kind only become comprehensible to man when he examines arbitrarily selected elements of that motion, but at the same time a large proportion of human error comes from the arbitrary division of continuous motion into discontinuous elements. There is a well-known, so-called, sophism of the ancients consisting in this, that Achilles could never catch up with a tortoise he was following, in spite of the fact that he travelled ten times as fast as the tortoise. By the time Achilles has covered the distance that separated him from the tortoise, the tortoise has covered one-tenth of that distance ahead of him: when Achilles has covered that tenth, the tortoise has covered another one-hundredth, and so on for ever...
...This modern branch of mathematics, unknown to the ancients, when dealing with problems of motion, admits the conception of the infinitely small, and so conforms to the chief condition of motion (absolute continuity) and thereby corrects the inevitable error which the human mind cannot avoid when dealing with separate elements of motion instead of examining continuous motion...
...Only by taking an infinitesimally small unit for observation (the differential of history, that is, the individual tendencies of men) and attaining to the art of integrating them (that is, finding the sum of these infinitesimals) can we hope to arrive at the laws of history.
'I cannot help loving the light, it is not my fault...'