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:
“We want in every man a long logic; we cannot pardon the absence of it, but it must not be spoken. Logic is the procession or proportionate unfolding of the intuition; but its virtue is as silent method; the moment it would appear as propositions and have a separate value, it is worthless.”
—Ralph Waldo Emerson (1803–1882)
“The usefulness of madmen is famous: they demonstrate society’s logic flagrantly carried out down to its last scrimshaw scrap.”
—Cynthia Ozick (b. 1928)