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Daniel_Burfoot comments on What are you working on? April 2011 - Less Wrong
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I am fascinated by proof assistants, for approximately the same reasons you are. I think it would be very worthwhile for someone to put a real useable UI on top of a proof assistant, and sell it as an aid for learning mathematics. Keep us updated about what you find out.
Yes, part of the reason I am interested in this topic is that math seems like it should be taught formally.