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In 1837 Pierre Wantzel proved that no compass-and-straightedge construction can trisect every angle. The counterexample is 60°: trisecting it would mean constructing cos 20°, which is a root of an irreducible cubic, while a compass and straightedge can only build stacks of square roots — objects of degree 2, 4, 8, never 3. And since 60° is easy to construct, any general metho...
Here's a few minor tweaks I've made to my Emacs setup recently.
Limiting enabled tree-sitter modesAfter reading Rahul's post Emacs 31 Is Around the Corner: The Changes I'm Already Daily Driving I simplified my setup and turned on all the tree-si...
In mathematical study there are two kinds of theorems, which serve very different purposes. Math instruction follows the same pattern. Students are often very puzzled by this, and rightly so, because it's never explained, or at least I've never seen it explained. There is this crucial, critical piece of mathematical methodology which is never made explicit, students just have...