How are math concepts named?
- After the people who was involved with it. Examples: The Cook-Levin Theorem, Goldbach Conjecture, Ehrenfeucht-Fraisse games,
- A descriptive name:
Examples: Chromatic Number; Girth of a graph (length of shortest cycle). This resembles the definition of Girth in English though I have only heard the word used in mathematics;
- A name that conjures up a nice image. Examples: Dining Philosophers problem;
The Monty Hall Paradox (though future historians will think he was a great Probabilist).
- Name may have very little connection to the concept. Example: The Pell equation.
- Do the players alternate picking polynomials and if the composition is solvable by radicals then (say) Player I wins.
- Did Galois invent some game?
He died in a duel!In the article Greedy Galois Games they study a DUEL between two BAD DUELISTS. The idea is that if both have prob of hitting p (and p is small) and they want to make it fair, first Alice shoots, then Bob shoots the min number of times so that the prob of Bob winning exceeds Alice's, then Alice shoots a number of times so that her prob of winning exceeds Bob's, etc. The paper ends up involving the Thue-Morse sequence. They are NOT using the name Galois the way we use Banach in Banach-Tarski Paradox, nor the way we use Monty Hall in The Monty-Hall Paradox. The fact that Galois was a mathematician has nothing to do with the naming, The authors are using Galois because he is a famous duel-loser. They could have used Alexander Hamilton (who lost a Duel to Aaron Burr) and then called them Greedy Hamiltonian Games, in which case I would assume that the game involved
Hamiltonian cycles or Quaternions.