Hi, The discussion at .9 is getting crowded, so I thought I would point out that the answers to your two questions are related. Namely, they are "reciprocals" of one another. In the traditional number system, let's call it A, there are no infinitesimals, and similarly no infinite numbers. In the number systems that Leibniz, Euler, Cauchy, and Robinson worked with, let's call it B, there are both infinitesimals and infinite numbers. You can think of A as being included in B. Infinitesimals are numbers in B that are infinitely close to 0. An infinite number is the reciprocal of an infinitesimal, and vice versa: if N is a hypernatural then 1/N is an infinitesimal. To answer your question more specifically, if relativity theory is developed over B, then you can travel at a speed that's infinitely close to the speed of light. Tkuvho (talk) 06:24, 23 May 2010 (UTC)
Ah, ok, I understand it now. Thank you very much!My 2 Cents' Worth (talk) 06:34, 23 May 2010 (UTC)
- Any time! Tkuvho (talk) 06:38, 23 May 2010 (UTC)