Cantor's diagonal argument is (in all likelihood) mathematically correct. However the attempt to use Cantor's methodology to derive an irrational number that is the "next" greater irrational number from a given irrational number (to a degree of precision sufficient to distinguish the two numbers) is not mathematically correct. If you were to say that Cantor's argument was mathematically correct, I would agree with you. As far as I can tell it is. However, if you were then to use his method of "enumerating" irrational numbers as a means to discover subsequent irrational numbers, I would not conclude that you understand what it means to say that Cantor's diagonal argument was mathematically correct. (However, I am not a mathematician and I might be wrong in some ways.)
Jim Bromer ------------------------------------------- agi Archives: https://www.listbox.com/member/archive/303/=now RSS Feed: https://www.listbox.com/member/archive/rss/303/ Modify Your Subscription: https://www.listbox.com/member/?member_id=8660244&id_secret=8660244-6e7fb59c Powered by Listbox: http://www.listbox.com
