P551 | 28113 | McCarty

A survey of recent and contemporary philosophy of mathematics in the analytical tradition, based on readings from the anthology "Philosophy of Mathematics," edited by Paul Benacerraf and Hilary Putnam, and on the monograph “Thinking about Mathematics” by Stewart Shapiro. Close and detailed consideration will be given to logicism, formalism, and intuitionism, as well as to recent philosophical issues concerning our knowledge of mathematical truths, and the precise nature of sets. Required texts: Benacerraf, P. and H. Putnam (eds) "Philosophy of Mathematics: Selected Readings." Second Edition. Cambridge University Press. 1984. Paperback. Shapiro, Stewart. “Thinking about Mathematics.” Oxford University Press. 2000. Paperback. Assignments and Grading: A student's grade in the course will be determined by his or her performance on one in-class midterm examination, one take-home final examination, frequent short papers, quizzes, presentations and classroom participation. Prerequisites: Students should have completed a solid and mathematically sophisticated course in mathematical logic at the graduate level.