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Mike Shulman
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I am an associate professor of mathematics at the University of San Diego. My research is in homotopy type theory and higher category theory.

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52
Should we say that fractions "are" or "represent" numbers?
Apr 1 '14
33
A calculus book that uses differentials?
Mar 13 '14
29
Teaching logic with a proof assistant
Mar 15 '14
27
Do "gateway tests" work?
May 9 '17
27
Should we teach functions as sets of ordered pairs?
May 14 '15
26
Unusual applications of integration
Mar 29 '14
23
How to teach perseverance?
Dec 15 '15
22
Should we teach trigonometric substitution?
Oct 2 '15
22
What happened to the Moore method?
Mar 24 '14
19
Should we teach functions as sets of ordered pairs?
May 14 '15
Top Meta posts
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8
Should we embrace or avoid questions that are simply lists of tips and tricks?
5
Should we avoid questions of the style: "Tips on how to explain <concept> to students <without the requisite mathematical maturity>?"?
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188
Why doesn't mathematics collapse even though humans quite often make mistakes in their proofs?
94
What properties make $[0,1]$ a good candidate for defining fundamental groups?
78
Has incorrect notation ever led to a mistaken proof?
65
Can skeleta simplify category theory?
61
What packages do people load by default in LaTeX?

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