On Wed, Apr 25, 2007, Uri Even-Chen wrote about "Re: [off topic] Some new articles I wrote about science": > sure how well they can be defined. I came to the conclusion that > there is no proof that there are more real numbers than rational > numbers, or more generally speaking, that an infinity more than Aleph > zero can be defined.
Uri, this is becoming (or was always) extremely off-topic. Georg Cantor's beautiful proof that there are more real numbers than natural numbers (involving the diagonal of the real number's list) is one of the most striking - and self-evident - proofs that I've ever seen (my father showed it to me when I was a kid). Wikipedia (which I'm glad you're using as a source - I thought you thought it was the devil :-)) also has an article about this: http://en.wikipedia.org/wiki/Cantor%27s_diagonal_argument Mathematicians, physicists and computer-scientists have gone over all the subjects you're now "revising" (or revisiting) for decades, and do not agree with your conclusions; They found other problems in set-theory, complexity theory and quantum mechanics, but NOT the ones that you think you found. Could it be that you simply need to read more, and write less on these topics? It's very easy to find faults in things you don't fully understand. Just food for thought. -- Nadav Har'El | Wednesday, Apr 25 2007, 7 Iyyar 5767 [EMAIL PROTECTED] |----------------------------------------- Phone +972-523-790466, ICQ 13349191 |Promises are like babies: fun to make, http://nadav.harel.org.il |but hell to deliver. ================================================================= To unsubscribe, send mail to [EMAIL PROTECTED] with the word "unsubscribe" in the message body, e.g., run the command echo unsubscribe | mail [EMAIL PROTECTED]
