Hypothetical Syllogism - Proof

Proof

Proposition Derivation
Given
Given
Transposition
Law of the Excluded Middle
Conjunction
Constructive dilemma
Material implication

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Famous quotes containing the word proof:

    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 (1564–1616)

    He who has never failed somewhere, that man can not be great. Failure is the true test of greatness. And if it be said, that continual success is a proof that a man wisely knows his powers,—it is only to be added, that, in that case, he knows them to be small.
    Herman Melville (1819–1891)

    Ah! I have penetrated to those meadows on the morning of many a first spring day, jumping from hummock to hummock, from willow root to willow root, when the wild river valley and the woods were bathed in so pure and bright a light as would have waked the dead, if they had been slumbering in their graves, as some suppose. There needs no stronger proof of immortality. All things must live in such a light. O Death, where was thy sting? O Grave, where was thy victory, then?
    Henry David Thoreau (1817–1862)