Proof
| Proposition | Derivation |
|---|---|
| Given | |
| Given | |
| Material implication | |
| Modus ponens |
| Proposition | Derivation |
|---|---|
| Given | |
| Given | |
| Material implication | |
| Transposition | |
| Modus ponens |
Read more about this topic: Disjunctive Syllogism
Famous quotes containing the word proof:
“If we view our children as stupid, naughty, disturbed, or guilty of their misdeeds, they will learn to behold themselves as foolish, faulty, or shameful specimens of humanity. They will regard us as judges from whom they wish to hide, and they will interpret everything we say as further proof of their unworthiness. If we view them as innocent, or at least merely ignorant, they will gain understanding from their experiences, and they will continue to regard us as wise partners.”
—Polly Berrien Berends (20th century)
“Talk shows are proof that conversation is dead.”
—Mason Cooley (b. 1927)
“O, popular applause! what heart of man
Is proof against thy sweet, seducing charms?”
—William Cowper (1731–1800)