February 28th, 2016, 05:45 PM  #21 
Senior Member Joined: Dec 2015 From: France Posts: 103 Thanks: 1  
February 28th, 2016, 05:52 PM  #22  
Math Team Joined: Dec 2013 From: Colombia Posts: 7,683 Thanks: 2664 Math Focus: Mainly analysis and algebra  Quote:
I present the set of rational numbers between zero and one. Show me the infinite member of that set, or prove that the set is not infinite. In order to make progress, you should consider what your definition of infinite (or finite) is. The one I use in cases like this is that a number $n$ is finite if there exists a natural number $N$ greater than $n$. An infinite number is one that is not finite.  
February 28th, 2016, 05:52 PM  #23 
Senior Member Joined: Jul 2014 From: भारत Posts: 1,178 Thanks: 230  
February 28th, 2016, 05:54 PM  #24 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,683 Thanks: 2664 Math Focus: Mainly analysis and algebra  
February 28th, 2016, 06:12 PM  #25 
Senior Member Joined: Dec 2015 From: France Posts: 103 Thanks: 1  
February 28th, 2016, 06:12 PM  #26 
Senior Member Joined: Jul 2014 From: भारत Posts: 1,178 Thanks: 230  
February 28th, 2016, 06:13 PM  #27  
Senior Member Joined: Feb 2016 From: Australia Posts: 1,838 Thanks: 653 Math Focus: Yet to find out.  Quote:
Im sure this is a logical fallacy of some kind.  
February 28th, 2016, 06:16 PM  #28 
Senior Member Joined: Jul 2014 From: भारत Posts: 1,178 Thanks: 230  
February 28th, 2016, 06:23 PM  #29 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,683 Thanks: 2664 Math Focus: Mainly analysis and algebra  
February 28th, 2016, 06:25 PM  #30 
Senior Member Joined: Dec 2015 From: France Posts: 103 Thanks: 1  

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irrational, numbers, prime 
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