Professor Shapiro specializes in logic, philosophy of logic, and philosophy of mathematics. His current research deals with the structuralist philosophy of mathematics, the historical development of logic, and the relationship between modality and ontology in accounts of mathematics. Professor Shapiro has taught courses in logic, philosophy of mathematics, philosophy of science, Marxism, aesthetics, Jewish philosophy, and medical ethics.
Vagueness in context (Oxford University Press, 2006); reissued in paperback, March, 2008.
Thinking about mathematics: The philosophy of mathematics (Oxford University Press, 2000).
Philosophy of mathematics: Structure and ontology (Oxford University Press, 1997); reissued in paperback, 2000.
Foundations without foundationalism: A case for second-order logic, Oxford Logic Guides 17 (Oxford University Press, 1991), reissued in paperback, 2000.
Oxford handbook of the philosophy of logic and mathematics, Oxford University Press, 2005.
Special issue of History and Philosophy of Logic 20 (2000), a Festschrift for John Corcoran (edited with Michael Scanlan).
Special issue of Philosophia Mathematica (3) 8 (2000), devoted to abstraction and neo-logicism.
Two special issues of Philosophia Mathematica (3) 7 (1999), 9 (2001), devoted to the proceedings of a conference in memory of George Boolos, held at Notre Dame, during April of 1998.
Work in progress:
Logical pluralism/relativism (under contract for Oxford University Press)
Logic for philosophers (under contract for Oxford University Press)