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“The membership relation for sets can often be replaced by the composition operation for functions. This leads to an alternative foundation for Mathematics upon categories specifically, on the category of all functions. Now much of Mathematics is dynamic, in that it deals with morphisms of an object into another object of the same kind. Such morphisms (like functions) form categories, and so the approach via categories fits well with the objective of organizing and understanding Mathematics. That, in truth, should be the goal of a proper philosophy of Mathematics.”
Saunders Mac Lane.
Courses for 2009-2010
Special Topics in Logic
reading course
required
elective (logic)
elective (computer science logic)
special topics in computer science
special topics in mathematics
reading course
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