May 10th, 2017, 09:00 AM  #101  
Global Moderator Joined: Dec 2006 Posts: 17,491 Thanks: 1315  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.  

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argument, cantors, diagonal, logic 
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