On Sat, 10 Feb 2007 05:28:55 +0900, toshiaki wrote:
> "Dave Seaman" <dseaman@no.such.host> wrote in message > news:eqfmg4$rti$1@mailhub227.itcs.purdue.edu... >> >> > When once we created uncountable reals, most of them are >> > uncomputable. Where is difference between them, though all numbers >> > sould have equal right of existence. >> >> If x and y are real numbers, then their difference is |x-y|. Does that >> answer your question? >> > Do you admit that all of uncountable reals cannot have decimal > representation because digits are countable?
No, because the power set of a countably infinite set is uncountable. The real numbers have the same cardinality as the power set of the integers.
-- Dave Seaman U.S. Court of Appeals to review three issues concerning case of Mumia Abu-Jamal. <http://www.mumia2000.org/>