iKotomi
[10] Knight
If I had $1 for every time God bailed me out..
There is no distinction between these two. When you prove that something is false, you prove that its converse is true, hence why proof by contradiction works.
Scientifically speaking, absolutes can only be proven false. We are not aware of all possible conditions, nor is it possible to recreate all such conditions, so you can not prove anything to be true.
For example, take a statement like water freezes at 32 degrees. First of all, this is a false statement, second of all, even if you do produce a situation where water froze at 32 degrees, you have not shown anything at all. You have shown that water freezes at 32 degrees given the conditions you had during the experiment. You can draw from this experiment a hypothesis of when water freezes at 32 degrees, but you can never claim it is a fact. This is obviously shown when you dissolve substances, change the air pressure, among other things.
It isn't necessary to prove something false. Instead, it is necessary to prove that something is fact.
There is no distinction between these two. When you prove that something is false, you prove that its converse is true, hence why proof by contradiction works.
Scientifically speaking, absolutes can only be proven false. We are not aware of all possible conditions, nor is it possible to recreate all such conditions, so you can not prove anything to be true.
For example, take a statement like water freezes at 32 degrees. First of all, this is a false statement, second of all, even if you do produce a situation where water froze at 32 degrees, you have not shown anything at all. You have shown that water freezes at 32 degrees given the conditions you had during the experiment. You can draw from this experiment a hypothesis of when water freezes at 32 degrees, but you can never claim it is a fact. This is obviously shown when you dissolve substances, change the air pressure, among other things.