- #1
chemistry1
- 108
- 0
Hi, I have a little question concerning contradictions :
If I have a statement "A" that I want to prove, and only have the possibility for it to be True or False.
After some manipulations, I arrive at some contradiction. (Here's where my question begins.)
How can we know that a contradiction is enough to be sure at 100 % that a statement is not correct?
Is it because in Mathematics, for a thing to be True or False, it must always be ALWAYS "working" without arriving at some contradiction ? (Mathematical ideas must always work, and not sometimes yes, sometimes no.)
I just want to be sure of thinking of it in the right way, corrections would be greatly appreciated ! Thank you !
If I have a statement "A" that I want to prove, and only have the possibility for it to be True or False.
After some manipulations, I arrive at some contradiction. (Here's where my question begins.)
How can we know that a contradiction is enough to be sure at 100 % that a statement is not correct?
Is it because in Mathematics, for a thing to be True or False, it must always be ALWAYS "working" without arriving at some contradiction ? (Mathematical ideas must always work, and not sometimes yes, sometimes no.)
I just want to be sure of thinking of it in the right way, corrections would be greatly appreciated ! Thank you !