Proof
| Proposition | Derivation |
|---|---|
| Given | |
| Given | |
| Given | |
| Material implication | |
| Hypothetical syllogism | |
| Conjunction | |
| Law of Excluded Middle | |
| Constructive dilemma | |
| Tautology |
Read more about this topic: Disjunction Elimination
Famous quotes containing the word proof:
“To cease to admire is a proof of deterioration.”
—Charles Horton Cooley (18641929)
“The thing with Catholicism, the same as all religions, is that it teaches what should be, which seems rather incorrect. This is what should be. Now, if youre taught to live up to a what should be that never existedonly an occult superstition, no proof of this should beMthen you can sit on a jury and indict easily, you can cast the first stone, you can burn Adolf Eichmann, like that!”
—Lenny Bruce (19251966)
“He who has never failed somewhere, that man can not be great. Failure is the true test of greatness. And if it be said, that continual success is a proof that a man wisely knows his powers,it is only to be added, that, in that case, he knows them to be small.”
—Herman Melville (18191891)