How can I prove or disprove: There is no largest number

Question

ganeshie8 · Answer

hint : n+1 > n

amistre64 · Answer

well, disprove would entail actually finding a largest number ....

mathmale · Answer

Think about what "largest" means in this context.  Were you to concentrate on integers, write out the first several integers 1, 2, 3, 4, and so on, and then increase the last one by 1, and that new addition to the list by 1, and so on, and so on, there would be no cap, no limit, to the size of the last integer in your list of integers.

anonymous · Answer

Thats a way to disprove that there is no largest number? The problem is a little confusing.

anonymous · Answer

@mathmath333 you think you can help me make this a little clear?

anonymous · Answer

well the question just says:
Prove or disprove: there are no largest number.

ganeshie8 · Answer

@nerdguy2535

mathmath333 · Answer

$$n>n+1\ \infty>\infty+1\ \infty>\infty \but ~~ \infty=\infty $$

due to contradiction there is no largest number

anonymous · Answer

@ganeshie8 's hint is the only thing you need to prove this statement. Anything else is just making something seem complicated when it really isn't.