Prove or disprove: There are infinitely many positive integers.

Question

anonymous · Answer

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.

anonymous · Answer

what class is this for?

anonymous · Answer

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

anonymous · Answer

@geerky42 @ganeshie8

ganeshie8 · Answer

@pgpilot326  's proof looks good to me ?

ganeshie8 · Answer

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

anonymous · Answer

thank you! @ganeshie8

ganeshie8 · Answer

np :)