Great post on Gower's blog on when contradiction is appropriate. The first comment by Tao lends additional considerations to the post with a reference to non self-defeating objects!
Tags » Gowers
It’s been a while since I have written a post in the “somewhat philosophical” category, which is where I put questions like “How can one statement be stronger than an another, equivalent, statement?” This post is about a question that I’ve intended for a long time to sort out in my mind but have found much harder than I expected. 1,390 more words
In 2007, Timothy Gowers came up with a revolutionary new way of solving problems in mathematics. The reason I keep revolutionary in italics above is to stress the fact that there are several different opinions on polymath projects – and sometimes polymath projects are 1,295 more words