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).
Read more about this topic: Josiah Royce
Famous quotes containing the word logic:
“The logic of worldly success rests on a fallacy: the strange error that our perfection depends on the thoughts and opinions and applause of other men! A weird life it is, indeed, to be living always in somebody else’s imagination, as if that were the only place in which one could at last become real!”
—Thomas Merton (1915–1968)
“...some sort of false logic has crept into our schools, for the people whom I have seen doing housework or cooking know nothing of botany or chemistry, and the people who know botany and chemistry do not cook or sweep. The conclusion seems to be, if one knows chemistry she must not cook or do housework.”
—Ellen Henrietta Swallow Richards (1842–1911)
“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)