无穷多的点 is a countable set

送交者: HunHunSheng 于 2006-12-19, 16:06:32:

回答: who said ∞ is countable? 由匆匆过客于 2006-12-19, 16:04:23:

There are infinitely many points on a segment of
line. But you can never say a segment of line
is a set of infinitely many points

a proper subset of a infinite set can be a infinite set itsefl. - steven (174 bytes) 2006-12-19, 16:12:10 (116402)
- It is about countable vs uncountable not finite vs infinite - HunHunSheng (224 bytes) 2006-12-19, 16:23:08 (116411)
  - what do you mean uncountable? You can't count integer? - steven (105 bytes) 2006-12-19, 16:48:55 (116417)
of course you can. they are real numbers. - 匆匆过客 (29 bytes) 2006-12-19, 16:08:05 (116400)
- a countable set of real number is still countable - HunHunSheng (54 bytes) 2006-12-19, 16:12:42 (116403)
  - The set of Natural numbers is countable but not the real set - 匆匆过客 (152 bytes) 2006-12-19, 16:15:11 (116406)
    - should be real NUMBER set (无内容) - 匆匆过客 (0 bytes) 2006-12-19, 16:19:09 (116408)