Question

Prove or disprove: There are infinitely many positive integers.

Answer 1

you can prove by contradiction. assume there is a finite number of positive integers. then there must be a largest positive integer, call it n.
then n+1 is an integer as well and n+1 > n =><=
therefore, there cannot be a finite number of positive integers.

Answer 2

what class is this for?

Answer 3

It's a problem solving math class. (college) Professor just gives us questions and expect us to come up with a solution. @pgpilot326

Answer 4

@geerky42 @ganeshie8

Answer 5

@pgpilot326 's proof looks good to me ?

Answer 6

also see
http://foolproof.pbworks.com/w/page/8978146/There%20Are%20Infinitely%20Many%20Positive%20Integers

Answer 7

thank you! @ganeshie8

Answer 8

np :)