单词 | Aristotle's Wheel Paradox |
释义 | Aristotle's Wheel Paradox![]() A Aristotle. The fallacy lies in the assumption that a 1:1 correspondence of points means that two curves must have the same length. Infact, the Cardinalities of points in a Line Segment of any length (or even an InfiniteLine, a Plane, a 3-D Space, or an infinite dimensional Euclidean Space) are all the same:
Ballew, D. ``The Wheel of Aristotle.'' Math. Teacher 65, 507-509, 1972. Costabel, P. ``The Wheel of Aristotle and French Consideration of Galileo's Arguments.'' Math. Teacher 61, 527-534, 1968. Drabkin, I. ``Aristotle's Wheel: Notes on the History of the Paradox.'' Osiris 9, 162-198, 1950. Gardner, M. Wheels, Life, and other Mathematical Amusements. New York: W. H. Freeman, pp. 2-4, 1983. Pappas, T. ``The Wheel of Paradox Aristotle.'' The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, p. 202, 1989. vos Savant, M. The World's Most Famous Math Problem. New York: St. Martin's Press, pp. 48-50, 1993. |
随便看 |
|
数学辞典收录了8975条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。