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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
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 Originally Posted by sita 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
Given any whole number, x, show that x+ 1> x. To do that, note that 1> 0 and add x to both sides. So, for any x, there exist the number x+ 1 which is greater than x.

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
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 Originally Posted by Country Boy Given any whole number, x, show that x+ 1> x. To do that, note that 1> 0 and add x to both sides. So, for any x, there exist the number x+ 1 which is greater than x. 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".
Part of the exercise it says 'Let us prove the statement by example' not prove by example sorry

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: 469 Thanks: 261 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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