Formal logic Quotes

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Theologians, and religionists in general, start with a fantasy premise and then proceed to apply rigorous formal logic to tease out its implications. Stark himself points out that “theology consists of formal reasoning about God.” This is admirably exact. Theologians, beginning with a wished-for creation of their own minds, analyze that creation’s characteristics by rigorous application of the principles of formal—that is, deductive—logic.

Andrew Bernstein
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In formal logic, a contradiction is the signal of defeat, but in the evolution of real knowledge it marks the first step in progress toward a victory.

Alfred North Whitehead
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Even to-day the masses of the Negroes see all too clearly the anomalies of their position and the moral crookedness of yours. You may marshal strong indictments against them, but their counter-cries, lacking though they be in formal logic, have burning truths within them which you may not wholly ignore, O Southern Gentlemen!

W.E.B. Du Bois, The Souls of Black Folk
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In the Principia Mathematica, Bertrand Russell and Alfred Whitehead attempted to give a rigorous foundation to mathematics using formal logic as their basis. They began with what they considered to be axioms, and used those to derive theorems of increasing complexity. By page 362, they had established enough to prove "1 + 1 = 2.

Ted Chiang, Stories of Your Life and Others
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