# THE AMBIGUITY OF MATHEMATICS

**Tutor description**

Abstract: This paper deals with mathematical rigor and the notion of ambiguity in mathematics. It takes the counter-intuitive position that ambiguity is of central importance to the mathematical endeavor—that it is essential and cannot be avoided. In our view, rigor and ambiguity form two complementary dimensions of mathematics—what we characterize as the surface versus the depth dimensions of the subject.

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