Aristotle Smith wrote:When I think of infinity I think of Cantor's transfinite numbers. Since Georg Cantor was able to grasp infinity at a fundamental level, I don't know what you are trying to show/prove. Typing really large numbers into Wolfram alpha to see it give back an error doesn't say much of anything.
Also, since he was fond of using "aleph" and "omega" when working with transfinite numbers, you can bet Cantor saw a religious/theological component to his findings.
Mathematicians have developed tools to deal with the idea of the infinite and the infinitesimal (i.e limits, recursion, epsilon-delta, transfinite numbers, etc.) Being able to deal with a number like 3|||3 (for example being able to take the derivative of the Ackermann function) and being able to "grasp it at a fundamental level" are probably two different things. It's kind of hard to say though because I'm not sure what the objective measure of grasping infinity at a fundamental level would be. I personally can't understand what it's like for something to exist more years than 3|||3 (or Graham's number or BB(Graham's number), even though that's a logical consequence of an infinite god. I personally doubt very much that you are able to either (other than at the level of just shrugging it off internally), but I sincerely congratulate you if you've done better than I have in this area.
I'll go with Cantor on this one.
Fair enough. Newton was also religious. Some smart people are; some aren't.