On his blog, Timothy Gowers has asked for comments on some variant proofs, three proofs apiece in response to five basic problems in the elementary theory of functions, continuity etc. (so the proofs will be accessible by anyone reading this who has just a smidgin of first year maths). How do you rate the alternatives for clarity and style, and why? It’s quite fun to think about, so do join in!

Richard BaronTake another look, everyone. Tim Gowers has just put up another post, explaining what is really going on (and it is something I did not suspect at all in responding to his first post), and inviting a fresh set of comments.