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October 27th, 2017, 05:29 AM  #1 
Newbie Joined: Oct 2017 From: Rumba Posts: 20 Thanks: 0  Proof finding mistake and how to solve
For every whole number there exists a greater whole number. Prove the statement by example; 44 is a whole number and 56 is a whole number, and is greater than 44. Therefore the statement is true. Im not sure how to start this please help 
October 27th, 2017, 05:37 AM  #2  
Math Team Joined: Jan 2015 From: Alabama Posts: 3,242 Thanks: 885  Quote:
I have no idea what you mean by "prove by example". Was this given as part of the exercise or are you saying that you were trying to prove this statement "by example"? You cannot prove that, for any whole number there exist a larger number by showing an example. What you have shown "by example" is simply that there is a number larger than 44. You cannot prove any general statement "by example".  
October 27th, 2017, 05:44 AM  #3  
Newbie Joined: Oct 2017 From: Rumba Posts: 20 Thanks: 0  Quote:
The question wants me to find a mistake and show a way it can be sorted out.  
October 29th, 2017, 08:04 PM  #4 
Senior Member Joined: Sep 2016 From: USA Posts: 395 Thanks: 211 Math Focus: Dynamical systems, analytic function theory, numerics 
The mistake in the supposed proof is that it has not shown the claim is true for every whole number. It has only shown it is true for the number 44.


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