The Philosophy of Mathematics Today

By Matthias Schirn | Go to book overview

Stewart Shapiro is Professor of Philosophy at the Ohio State University at Newark and the University of St Andrews. He specializes in logic and the philosophies of logic and mathematics. His publications include Foundations Without Foundationalism: A Case for Second-Order Logic ( 1991), "'Second-Order Languages and Mathematical Practice'" ( 1985), "'Principles of Reflection and Second-Order Logic'" ( 1987), "'Second-Order Logic, Foundations, and Rules'" ( 1990), and "'Modality and Ontology'" ( 1993).

Peter Simons is Professor of Philosophy at the University of Leeds. He has also taught in Austria, Switzerland, and the USA. He is currently the editor of History and Philosophy of Logic. He is the author of Parts: A Study in Ontology ( 1987), Philosophy and Logic in Central Europe from Bolzano to Tarski: Selected Essays ( 1992), and many articles.

William W. Tait is Professor of Philosophy at the University of Chicago. He has been a member of the Institute for Advanced Study in Princeton and a Visiting Professor of Mathematics at the University of Aarhus, Denmark. His most important articles on logic and the philosophy of mathematics include "'Intensional Interpretations of Functionals of Finite Type I'" ( 1967), "'Normal Derivability in Classical Logic'" ( 1968), "'Finitism'" ( 1981), "'Truth and Proof: The Platonism of Mathematics'" ( 1986), and "'The Law of Excluded Middle and the Axiom of Choice'" ( 1994).

Crispin Wright is Professor of Logic and Metaphysics at the University of St Andrews, and formerly Nelson Professor of Philosophy at the University of Michigan. He has held visiting positions at the University of Pennsylvania, Princeton University, and other institutions. He is the author of Wittgenstein on the Foundations of Mathematics ( 1980), Frege's Conception of Numbers as Objects ( 1983), Realism, Meaning and Truth ( 1986), and Truth and Objectivity ( 1992). He is also the author of numerous articles on the philosophies of language, mathematics and mind, and on the theory of knowledge.

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