Some people argue that we can not verify hypothesis but we can falsify them? I believe we can usually negate statements. So, if we can falsify statements, why cant we verify statements by falsifying their negation?
I do not ask if it is practicable to do so, but rather about the general possibility. Why does the distinction between falsification and verification of hypothesis makes sense, if we can negate statements. Of course, I am assuming the law of the law of excluded middle and the law of non-contradiction. But my thinking is motivated from the philosophy of sciences, and I do believe that in most sciences we can assume those laws to apply.
Why does it make sense to say that statements can generally not be verified, if we could verify them by falsifying their negation?
I am also thankful for any pointers to literature that might help me to answer these questions.