Thread: Achilles and the Gods Puzzle
View Single Post
Old 07-12-2010, 12:28 PM   #8
HarryT
eBook Enthusiast
HarryT ought to be getting tired of karma fortunes by now.HarryT ought to be getting tired of karma fortunes by now.HarryT ought to be getting tired of karma fortunes by now.HarryT ought to be getting tired of karma fortunes by now.HarryT ought to be getting tired of karma fortunes by now.HarryT ought to be getting tired of karma fortunes by now.HarryT ought to be getting tired of karma fortunes by now.HarryT ought to be getting tired of karma fortunes by now.HarryT ought to be getting tired of karma fortunes by now.HarryT ought to be getting tired of karma fortunes by now.HarryT ought to be getting tired of karma fortunes by now.
 
HarryT's Avatar
 
Posts: 85,557
Karma: 93980341
Join Date: Nov 2006
Location: UK
Device: Kindle Oasis 2, iPad Pro 10.5", iPhone 6
Spoiler:
As long as the track stretches taking Achilles with it then it's clear that he will finish the race. Let us suppose that he is x% along the track when it stretches. He is still x% along it after the stretch, and every step he takes will increase "x", stretch or no stretch. The fact that the stretch is arithmetic rather than geometric ensures that he will complete the race in a finite time (which I'm afraid I can't be bothered to work out).
HarryT is offline   Reply With Quote