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).

• Part I: Frege and Neo-Logicism1: William Demopoulos: Generality and Objectivity in Frege's Foundations of Arithmetic2: Richard Kimberly Heck: The Logic of Frege's Theorem3: Jim Edwards: Logicism and Logical Consequence4: George Boolos: Logicism and Second Order Logic4a: Richard Kimberly Heck: Postscript5: Gideon Rosen and Stephen Yablo: Solving the Caesar Problem--with MetaphysicsPart II: Vagueness6: Ian Rumfitt: Vagueness and Intuitionistic Logic7: Stephen Schiffer: Quandary and Intuitionism: Crispin Wright on VaguenessPart III: Logic and Modality8: Sanford Shieh: Wright and Revisionism9: Neil Tennant: Inferentialism, Logicism, Harmony, and a CounterpointPart IV: Metaphysical Possibility10: Bob Hale: CCCPReplies by Crispin WrightForewordReplies to Part I: Frege and LogicismReplies to Part II: Intuitionism and the SoritesReplies to Part III: Logical RevisionismReplies to Part IV: The Epistemology of Metaphysical Possibility

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.