Course Description
The philosophical issues associated with mathematical inquiry, including, perhaps, the existence and nature of mathematical objects, the epistemology of mathematical truths, the character of mathematical proof, and the foundations of mathematics.
Additional Requirements for Graduate Students:
Longer term-paper, possibly an in-class presentation, and higher standards for all assigned work.
Athena Title
Philosophy of Mathematics
Prerequisite
PHIL 2500 or PHIL 2500H or PHIL 2500E or MATH 2200 or permission of department
Semester Course Offered
Offered spring
Grading System
A - F (Traditional)
Course Objectives
Students will be expected to develop an appreciation for philosophical issues arising in the consideration of mathematics and to master arguments presented by authors treated in the course. Communicating effectively through writing and speech, relevant use of the computer, and critical thinking are all stressed. During the course the student should be improving in each of these skill areas.
Topical Outline
The course will consider philosophical issues associated with mathematical inquiry, including such topics as: I. The existence and nature of mathematical objects II. The epistemology of mathematical truths III. The character of mathematical proof IV. The foundations of mathematics
Syllabus