May 10th, 2017, 09:00 AM  #101  
Global Moderator Joined: Dec 2006 Posts: 18,956 Thanks: 1603  I didn't ask that. I gave 101010101... as an example that doesn't satisfy the definition of a natural number. Yes, because the definition of a natural number is satisfied for any finite number of digits. It isn't, however, satisfied when the number of digits isn't finite, which was the case in the example I gave. Quote:
Quote:
No, you simply made that up, and it's clearly incorrect, as each natural number is also a real number. Even if I ignored that error, asserting that my example is a real number wouldn't justify asserting that it's a specific natural number.  

Tags 
argument, cantors, diagonal, logic 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Cantors Diagonal Argument is Not Diagonal  v8archie  Topology  0  June 23rd, 2016 09:16 AM 
Cantors Diagonal Argument and Epimenides  zylo  Topology  4  March 8th, 2016 06:08 AM 
Cantors Diag Argument Proves Reals Countable  zylo  Topology  6  March 5th, 2016 02:09 AM 
Cantor's Diagonal Argument  zylo  Math  22  January 26th, 2016 08:05 PM 
Cantorīs diagonal argument  netzweltler  Applied Math  191  November 7th, 2010 01:39 PM 