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Roots of Unity

A Computer Scientist Tells Mathematicians How To Write Proofs

Leslie Lamport, clad in a t-shirt that says "You want proof? I'll give you proof!" gave a presentation at the Heidelberg Laureate Forum. Image: HLFF/Kreutzer.

Believe it or not, I do have friends who would describe themselves as not liking math, and every so often one of them will share this meme on Facebook: And then Satan said, “Put the alphabet in math.” There are different background pictures each time the meme pops up, but the text is always the [...]

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Roots of Unity

In Praise of Proofs by Contradiction that Aren’t

Opposing arrows, a common conclusion to a proof by contradiction.

If you don’t know what to do, do something. That’s one of my mottos when I teach math (and it’s probably good life advice too). Last year, I taught introductory analysis (basically calculus with the juicy bits left in), one of the first proof-oriented classes students take. Writing proofs is hard, and sometimes the hardest [...]

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