Rationals are countable but reals aren't
Some googling around that language should work. Or Cantor's diagonal argument (be sure to mention Cantor as there is another kind of diagonal argument which isn't the one you want).
Posted By: Partial Angler on May 11th 2009 at 11:41:24
Message Thread
- The coastline of Africa - the world's 2nd largest continent - is shorter than that of Euro (General Chat) - Ralf Scrampton, May 11, 09:39:45
- They are both infinite in some sense (General Chat) - yarmyyarmy, May 11, 10:40:17
- Sod that. Get your My First World Atlas. Some string, some pins, and measure it (General Chat) - Yellalee, May 11, 10:49:30
- it is still possible to have one infinite bigger than another infinite. (General Chat) - Ralf Scrampton, May 11, 10:47:48
- You're thinking about alephs - aleph-one being "bigger" than aleph-null. (General Chat) - Arizona Bay, May 11, 10:51:59
- The Continuum Hypothesis asks whether there is an order of infinity between (General Chat) - yarmyyarmy, May 11, 11:02:18
- perhaps that's what i'll learn tonight (General Chat) - Ralf Scrampton, May 11, 10:58:02
- Rationals are countable but reals aren't (General Chat) - Partial Angler, May 11, 11:41:24
- Georg Cantor (General Chat) - yarmyyarmy, May 11, 10:51:40
- Oh please say the Wrath is going to get all Fundamentals of Set Theory. (General Chat) - Arizona Bay, May 11, 10:53:58
- Cantor's Continuum Hypothesis... (General Chat) - Basil Wrathbone, May 11, 10:59:52
- As is GCH (General Chat) - Partial Angler, May 11, 11:25:21
- Cantor's Continuum Hypothesis... (General Chat) - Basil Wrathbone, May 11, 10:59:52
- Oh please say the Wrath is going to get all Fundamentals of Set Theory. (General Chat) - Arizona Bay, May 11, 10:53:58
- You're thinking about alephs - aleph-one being "bigger" than aleph-null. (General Chat) - Arizona Bay, May 11, 10:51:59
- Fjords. (n/m) (General Chat) - Arizona Bay, May 11, 10:18:41
- Norway has the second longest coastline in the world (General Chat) - Ralf Scrampton, May 11, 10:23:59
- ... (General Chat) - SCC 28, May 11, 10:38:37
- What about scroby sands? (n/m) (General Chat) - Partial Angler, May 11, 11:28:31
- perhaps, unless it hasn't, i think i read that in Frost on my Moustache (n/m) (General Chat) - Ralf Scrampton, May 11, 10:40:59
- ... (General Chat) - SCC 28, May 11, 10:38:37
- Norway has the second longest coastline in the world (General Chat) - Ralf Scrampton, May 11, 10:23:59
- They are both infinite in some sense (General Chat) - yarmyyarmy, May 11, 10:40:17
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