Posts

Showing posts from July, 2025

Methods of Mathematical Proof

Methods of Mathematical Proof From Hampshire College   This list cannot be complete by Gödel’s Incompleteness theorem. See #3.   1.      Proof by induction. Always done on equations with n in them. 2.      IO. Intuitively obvious. 3.      HW. Handwaving. 4.      Proof by contradiction. 5.      Proof by intimidation. 6.      Proof by political theory. 7.      Proof by bullshit. 8.      Proof by construction. 9.      Proof by lack of counterexample. 10.   Proof by apathy. Why not? 11.   Proof by confusion. 12.   Proof by assumption. 13.   Because I read it somewhere. 14.   Because it’s on the homework. 15.   Proof by pseudomorphism. 16.   Proof by personification. Zeno’s Theorem. 17.   Because it looks good. 1...

Super

Super   My own headcanon about superbeings takes the form of a trilogy, as follows: Part 1, “Superpower of the People” . A lesser superhero and a lesser supervillain team up to investigate the nature of superpower. Meanwhile the other supers continue their endless destructive conflicts. The lesser superbeings discover how superpower works, and they use this knowledge to invent devices that can give ordinary people superpowers. They sell those devices for $199.95 each. The other supers get wind of this, and they don’t like it one little bit. Only they, the aristocrats, deserve those powers. That drives the story’s conflict. Biff! Bam! Pow! After setbacks and plot twists, the People win. But the most villainous of the superheros, while being dragged off to super-jail, warn them that their troubles are only just beginning. Part 2, “Superpower of the Law”. A policier. Society has technically integrated superpowers into everyday life. The people fly to work, build by telekine...