Hypothetical Syllogism - Proof

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:

    A short letter to a distant friend is, in my opinion, an insult like that of a slight bow or cursory salutation—a proof of unwillingness to do much, even where there is a necessity of doing something.
    Samuel Johnson (1709–1784)

    Sculpture and painting are very justly called liberal arts; a lively and strong imagination, together with a just observation, being absolutely necessary to excel in either; which, in my opinion, is by no means the case of music, though called a liberal art, and now in Italy placed even above the other two—a proof of the decline of that country.
    Philip Dormer Stanhope, 4th Earl Chesterfield (1694–1773)

    There are some persons in this world, who, unable to give better proof of being wise, take a strange delight in showing what they think they have sagaciously read in mankind by uncharitable suspicions of them.
    Herman Melville (1819–1891)