"The Paradox of Zeno" "The Paradox of Zeno" The Paradox of Zeno is 2000 years old and its apparent ability to prove that all motion is impossible was not resolved until the mathematical techniques of Calculus became available, even though that technique is not required. One form of the paradox describes the flight of an arrow which has been shot at a target. The arrow is shot at a constant velocity, V, to a target at a distance, L, and the time of flight is divided into intervals. In the first interval, the arrow covers half of the distance to the target and, in each succeeding interval of time, it covers half of the remaining distance. Under the line of reasoning presented, the arrow never reaches the target because, after each successive interval of time, one half of the distance to the target that existed at the beginning of the interval remains. The author finds it incredible that this paradox has been taken seriously by intelligent men for over two millennia and has not been recognized as a form of trickery. If one accepts that in each successive interval of time the arrow traveled half of the remaining distance to the target, he must also accept that each of those successive intervals of time is half of the duration of the interval which preceded it. As a result, under the Paradox of Zeno, not only does the arrow never reach the target, the elapsed time of its flight never reaches the time, T, when the arrow would reach the target. There is no paradox in the Paradox of the Zeno. As long as one allows a cheap trick to fool him into considering only those events which occur prior to the arrival of the arrow at the target, he most certainly will believe that the arrow never reaches the target. The reality is that THE PASSAGE OF TIME DOES NOT SLOW AS THE ARROW APPROACHES THE TARGET AND THE ARROW REACHES THE TARGET WHEN IT SHOULD. To find the Paradox of Zeno be seriously considered as a topic which requires a level of mathematics beyond simple arithmetic for its resolution should lead a reasonable man to have serious doubts as to the mental capacity of the individuals who are engaged in the teaching process. The source material for this posting may be found in http://einsteinhoax.com/hoax.htm/ (1997); http://einsteinhoax.com/gravity.htm (1987); and http://einsteinhoax.com/relcor.htm (1997). EVERYTHING WHICH WE ACCEPT AS TRUE MUST BE CONSISTENT WITH EVERYTHING ELSE WE HAVE ACCEPTED AS TRUE, IT MUST BE CONSISTENT WITH ALL OBSERVATIONS, AND IT MUST BE MATHEMATICALLY VIABLE. PRESENT TEACHINGS DO NOT ALWAYS MEET THIS REQUIREMENT. THE WORLD IS ENTITLED TO A HIGHER STANDARD OF WORKMANSHIP FROM THOSE IT HAS GRANTED WORLD CLASS STATUS. All of the Newsposts made by this site may be viewed at http://einsteinhoax.com/postinglog.htm. Please make any response via E-mail as Newsgroups are not monitored on a regular basis. Objective responses will be treated with the same courtesy as they are presented. To prevent the wastage of time on both of our parts, please do not raise objections that are not related to material that you have read at the Website. This posting is merely a summary. E-mail:- firstname.lastname@example.org. If you wish a reply, be sure that your mail reception is not blocked. The material at the Website has been posted continuously for over 8 years. In that time THERE HAVE BEEN NO OBJECTIVE REBUTTALS OF ANY OF THE MATERIAL PRESENTED. There have only been hand waving arguments by individuals who have mindlessly accepted the prevailing wisdom without questioning it. If anyone provides a significant rebuttal that cannot be objectively answered, the material at the Website will be withdrawn. Challenges to date have revealed only the responder's inadequacy with one exception for which a correction was provided. ..