Bernard Bolzano: Theory of Science
Paul Rusnock and Rolf George
Author Information
Paul Rusnock, University of Ottawa, and Rolf George, University of Waterloo
Bernard Bolzano (1781-1848) made outstanding contributions to many areas of philosophy as well as to mathematics and theology. In mathematics, he is best known for his work in analysis and the foundations of mathematics, which included rigorous definitions of continuity and convergence as well as the construction of a continuous, nowhere-differentiable function and anticipations of Cantor's set theory. His work in logic, presented in the Theory of Science, marks a new beginning in the history of the discipline. Among his discoveries, the most noted are his definition of deducibility, which anticipates Tarski's definition of logical consequence, and his notion of logical analyticity, which closely resembles later concepts of logical truth. On account of these and many other accomplishments, Bolzano is now widely recognised as one of the great philosophers of the nineteenth century.
Rolf George is Professor emeritus of Philosophy at the University of Waterloo, Canada.
Paul Rusnock is Associate Professor of Philosophy at the University of Ottawa, Canada.