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:
“The source of Pyrrhonism comes from failing to distinguish between a demonstration, a proof and a probability. A demonstration supposes that the contradictory idea is impossible; a proof of fact is where all the reasons lead to belief, without there being any pretext for doubt; a probability is where the reasons for belief are stronger than those for doubting.”
—Andrew Michael Ramsay (16861743)
“The fact that several men were able to become infatuated with that latrine is truly the proof of the decline of the men of this century.”
—Charles Baudelaire (18211867)
“It comes to pass oft that a terrible oath, with a swaggering accent sharply twanged off, gives manhood more approbation than ever proof itself would have earned him.”
—William Shakespeare (15641616)