# Thread: [SOLVED] Is there a smallest real number that is greater than 0

1. ## [SOLVED] Is there a smallest real number that is greater than 0

Not really a long question, but still kinda confusing. Thanks

2. Originally Posted by NeedHelp123
Not really a long question, but still kinda confusing. Thanks
no. to prove this, do a proof by contradiction. assume there is, show that you can find a smaller one

Originally Posted by Moo
ahah ! 1-1

3. Originally Posted by NeedHelp123
Not really a long question, but still kinda confusing. Thanks
No, there isn't.

Proof :
assume there exists such a number, m : $\forall x >0~,~0
Now consider $\frac m2$
This is obviously smaller than m. And still $>0$