Proof
| Proposition | Derivation |
|---|---|
| Given | |
| Given | |
| Transposition | |
| Law of the Excluded Middle | |
| Conjunction | |
| Constructive dilemma | |
| Material implication |
Read more about this topic: Hypothetical Syllogism
Famous quotes containing the word proof:
“To cease to admire is a proof of deterioration.”
—Charles Horton Cooley (1864–1929)
“War is a beastly business, it is true, but one proof we are human is our ability to learn, even from it, how better to exist.”
—M.F.K. Fisher (1908–1992)
“If some books are deemed most baneful and their sale forbid, how, then, with deadlier facts, not dreams of doting men? Those whom books will hurt will not be proof against events. Events, not books, should be forbid.”
—Herman Melville (1819–1891)