To: jhild who wrote (3294 ) 8/4/1998 4:53:00 PM From: Michelino Read Replies (1) | Respond to of 12810
Still, even by your 'rigid' definition, there remains an infinite number of integer palindromes. Perhaps you might think this type of infinity is less than the other type of infinity, if so see the postscript. But please re-read my post, my reference to palindromes of a sort actually means "able to become a palindrome by reversal ". And the means is a little imagination and some basic arithmetic... Of the first ten thousand integers, 9999 are known to create palindromes by Reversal Of the first 100,000 , only 5,996 do not (as of yet). Therefore: Among the first 100,000 posts grubbed in a thread, the great majority can can become palindromes by reversal . In that context, my corollary estimating the number of moronic theories about Canadian shorter-financed basher hordes seems about right. But the percentage does drop off as the number of posts increases to infinity...because there is only a finite number of sleazy penny stock promoters that are spreading the fables. By the way, while you are correct that there are 90 3 digit (rigid)palindromes... however this is out of 900 possibilities (not 899)... for the range is from 100-999. And 90 such for two digits, (not 99). Michael PS. Your response reminds me of the Paradox of the Desk Clerk at The Infinite Hotel:The clerk arrives at work to find that the hotel's infinite number of rooms are filled with an infinite number of guests. Suddenly an infinite number of new guests arrive, all desiring rooms. The clerk thinks for moment and then broadcasts an announcement to all currently housed guests. He requests that all of these pack up, leave their rooms, and move back into even-numbered rooms only. This frees up an infinite number of odd-numbered rooms for the new guests to use.