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:
“There is no better proof of a mans being truly good than his desiring to be constantly under the observation of good men.”
—François, Duc De La Rochefoucauld (16131680)
“A short letter to a distant friend is, in my opinion, an insult like that of a slight bow or cursory salutationa proof of unwillingness to do much, even where there is a necessity of doing something.”
—Samuel Johnson (17091784)
“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)