Logic, Language, and Mathematics

Alexander Miller took his undergraduate degree in mathematics and philosophy at the University of Glasgow. He then did his graduate work in philosophy at the universities of St. Andrews and Michigan. Miller is currently Professor of Philosophy at the University of Otago. Prior to this, he taught at Birmingham, Nottingham, Cardiff, and Macquarie.Crispin Wright specializes in the philosophies of language and mathematics, metaphysics, and epistemology. He is Global Professor of Philosophy at New York University, Professor of Philosophical Research at the University of Stirling, and Regius Professor of Logic Emeritus at the University of Aberdeen. He has taught at Columbia, Michigan, Princeton, St. Andrews (where he was the first Wardlaw University Professor), Arché, and Aberdeen (where he held the Regius Chair of Logic and was Director of the Northern Institute of Philosophy).

Miller (Univ. of Otago) has assembled 10 commissioned papers by well-chosen specialists who are influential writers in their respective fields. The special focus of this book is, however, Wright's substantive and careful, comprehensive replies to each of the four major themes of his critics: Gottlob Frege's philosophy and logicism, vagueness and language, logical revisionism, and the metaphysics of possibility. With respect to each of these themes, Wright provides an extensive overview of the topic itself prior to his specific responses to the contributors' various critical standpoints. Summing Up: Highly recommended. Graduate students, faculty, and professionals.

• Part I: Frege and Neo-Logicism 1: William Demopoulos: Generality and Objectivity in Frege's Foundations of Arithmetic 2: Richard Kimberly Heck: The Logic of Frege's Theorem 3: Jim Edwards: Logicism and Logical Consequence 4: George Boolos: Logicism and Second Order Logic 4a: Richard Kimberly Heck: Postscript 5: Gideon Rosen and Stephen Yablo: Solving the Caesar Problem--with Metaphysics Part II: Vagueness 6: Ian Rumfitt: Vagueness and Intuitionistic Logic 7: Stephen Schiffer: Quandary and Intuitionism: Crispin Wright on Vagueness Part III: Logic and Modality 8: Sanford Shieh: Wright and Revisionism 9: Neil Tennant: Inferentialism, Logicism, Harmony, and a Counterpoint Part IV: Metaphysical Possibility 10: Bob Hale: CCCP Replies by Crispin Wright Foreword Replies to Part I: Frege and Logicism Replies to Part II: Intuitionism and the Sorites Replies to Part III: Logical Revisionism Replies to Part IV: The Epistemology of Metaphysical Possibility