Logic
Royce is also perhaps the founder of the Harvard school of logic, Boolean algebra, and foundation of mathematics. His logic, philosophy of logic, and philosophy of mathematics were influenced by Charles Peirce and Alfred Bray Kempe. Students who in turn learned logic at Royce's feet include Clarence Irving Lewis, who went on to pioneer modal logic, Edward Vermilye Huntington, the first to axiomatize Boolean algebra, and Henry M. Sheffer, known for his eponymous stroke. Many of Royce's writings on logic and mathematics are critical of of the extensional logic of Principia Mathematica, by Bertrand Russell and Alfred North Whitehead, and can be read as an alternative to their approach. Many of his writings on logic and scientific method, are reproduced in Royce (1951, 1961).
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Famous quotes containing the word logic:
“The American Constitution, one of the few modern political documents drawn up by men who were forced by the sternest circumstances to think out what they really had to face instead of chopping logic in a university classroom.”
—George Bernard Shaw (1856–1950)
“Our argument ... will result, not upon logic by itself—though without logic we should never have got to this point—but upon the fortunate contingent fact that people who would take this logically possible view, after they had really imagined themselves in the other man’s position, are extremely rare.”
—Richard M. Hare (b. 1919)
“The logic of the world is prior to all truth and falsehood.”
—Ludwig Wittgenstein (1889–1951)