ABSTRACT
In his five years of tenure at the Johns Hopkins, Charles S. Peirce lectured on elementary and advanced logic, medieval logic, the algebra of logic, the logic of relatives, the theory of probabilities, the logic of induction and hypothesis, the terminology of philosophy, and the psychology of great men. Peirce identifies inclusion, implication, and illation, and his algebra is at the same time an algebra of classes, an algebra of propositions, and a system of logical consequences. Major developments of Peirce's logic of relatives and theory of quantification come in 1883 and 1885. Peirce's work in logical algebra comes to a full blossom in the paper written in summer 1884, "On the Algebra of Logic: A Contribution to the Philosophy of Notation", published in the seventh volume of the American Journal of Mathematics the following year. This monumental article is one of the most important contributions to nineteenth century mathematical logic.
