December 15th, 2016, 12:20 PM  #21 
Senior Member Joined: Sep 2015 From: CA Posts: 753 Thanks: 399 
scanning all these they all seem to stem from the same basic unease of infinite sets having zero measure. I really like the argument in the xkcd comment. If you pick a random natural number, the next one you pick is almost surely greater than the one you picked. This right here precludes the idea of a uniform distribution on the naturals. The probability of picking any natural number we can represent given the matter available in the universe or less is 0 as there are infinitely many numbers greater than this. 
December 15th, 2016, 04:18 PM  #22 
Senior Member Joined: Jun 2014 From: USA Posts: 155 Thanks: 5  

Tags 
question, set, theory 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Set Theory Question  Mathsisthebestandisamazin  Number Theory  7  November 22nd, 2016 05:44 PM 
Kalphauer Theory Groundbreaking Theory? Yes or No? Need Help Completing Theory.  flextera  New Users  0  July 30th, 2014 12:12 PM 
Category theory question  ipp  Abstract Algebra  0  December 8th, 2013 09:39 AM 
Graph Theory question  12arte12  Applied Math  0  December 8th, 2013 08:20 AM 
Question in Graph Theory  mathdude  Applied Math  6  November 30th, 2010 02:06 PM 