- John P. Burgess Mathematics, Models, and Modality, Selected Philosophical Essays, forthcoming in February 2008, Cambridge University Press
John Burgess is the author of a rich and creative body of work which seeks to defend classical logic and mathematics through counter-criticism of their nominalist, intuitionist, relevantist, and other critics. This selection of his essays, which spans twenty-five years, addresses key topics including nominalism, neo-logicism, intuitionism, modal logic, analyticity, and translation. An introduction sets the essays in context and offers a retrospective appraisal of their aims. The volume will be of interest to a wide range of readers across philosophy of mathematics, logic, and philosophy of language.
Table of Contents
Introduction;
Part I. Mathematics:
1. Numbers and ideas;
2. Why I am not a nominalist;
3. Mathematics and Bleak House;
4. Quine, analyticity, and philosophy of mathematics;
5. Being explained away;
6. E pluribus unum;
7. Logicism: a new look;
Part II. Models, Modality, and More:
8. Tarski’s tort;
9. Which modal logic is the right one?;
10. Can truth out?;
11. Quinus ab omni noevo vindicatus;
12. Translating names;
13. Relevance: a fallacy?;
14. Dummett’s case for intuitionism.
この本に収録されている論文のいくつかは既に持っているが、あらためて本として入手するかもしれない。
BurgessさんのHPを見ると、この本の長いIntro.などなどがDLできます。それとこの本に掲載された論文のいくつかも。