Posted by Ben (63.207.15.251) on June 02, 2002 at 22:38:46:
In Reply to: To Infinity and Beyond. posted by m1s1n on June 02, 2002 at 01:55:51:
Reach out and grab something, if you can grab it infinity is a reality. by going half way there and then half way again and so on you have covered half the distance and then a quarter of the distance, ie. 1/2 + 1/4 + 1/8 + 1/16 +... The distances must add up to one if your hand travels the full distance, hence an infinite number of half distances MUST have occured if the object is grabbed. In high level mathmatics it is what makes everything work. Most importantly it is a concept and simply by thinking of it makes it exist.