POV-Ray : Newsgroups : povray.off-topic : Oi, Darren : Re: Oi, Darren Server Time
7 Sep 2024 07:20:35 EDT (-0400)
  Re: Oi, Darren  
From: Darren New
Date: 11 Jul 2008 15:29:40
Message: <4877b4a4@news.povray.org>
Orchid XP v8 wrote:
> I see... Thank you for the illumination. Now tell me what a 
> diagonalization argument is,

Stuff like proofs that the number of real numbers 0 <= N < 1 is larger 
than the number of positive integers.

Map each real number to a positive integer. Now for each number, take 
the real number whose first digit differs from the first digit of the 
first real, whose second digit differs from the second digit of the 
second real, etc. You've just constructed a real which is, by 
construction, not on your list that maps all real numbers to integers.

-- 
Darren New / San Diego, CA, USA (PST)
  Helpful housekeeping hints:
   Check your feather pillows for holes
    before putting them in the washing machine.


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