- #1
Devil Moo
- 44
- 1
Proof by contradiction starts by supposing a statement, and then shows the contradiction.
1. Homework Statement
Now, there is a statement ##A##.
Suppose ##A## is false.
It leads to contradiction.
So ##A## is true.
My question:
There are two statements ##A## and ##B##.
Suppose ##A## is true.
Further suppose ##B## is false.
It leads to contradiction.
Can I conclude that "if ##A## is true, then ##B## is false."
Moreover, how do I distinguish between "Proof by Contradiction" and "Proof by Exhaustion"?
1. Homework Statement
Now, there is a statement ##A##.
Suppose ##A## is false.
It leads to contradiction.
So ##A## is true.
My question:
There are two statements ##A## and ##B##.
Suppose ##A## is true.
Further suppose ##B## is false.
It leads to contradiction.
Can I conclude that "if ##A## is true, then ##B## is false."
Moreover, how do I distinguish between "Proof by Contradiction" and "Proof by Exhaustion"?