beefcalf wrote:by the way, the tendency for a logical paradox to bring me to my intellectual knees decreased somewhat after I read Hofstadter's GEB and had Zeno explain why Achilles could never, ever, ever win a race against a tortoise, as long as you gave the tortoise a head start, no matter how small. Why should a layman like me ever consider these type of arguments as anything other than smoke and mirrors?
Point #1. I hate to break it to you beefcalf, all of the supposed evidence against the claims of the LDS church are just smoke and mirrors. You have no way of showing otherwise. It's best if you just march your butt right back into the LDS chapel this Sunday. People smarter than you have figured out the logic of it and you would do best as a layman to realize that all evidence to the contrary is just smoke and mirrors.
Point #2: If you understand limits then you will see the flaw in Zeno's reasoning. Zeno only analyzed the change in distances as that change in distance approached zero. He neglected to analyze what was happening to time differentials as well. This is not valid since the time differential is related to the distance differential. When you properly analyze the change in both together and take the limit, Achilles passes the tortoise. But then again, the limit procedure of differential calculus is all smoke and mirrors.