Infinitely More

Infinitely More

Home
The Book of Infinity
A Panorama of Logic
Infinite Games
Proof and the Art
Philosophy of Mathematics
My books
Music videos
Archive
Leaderboard
About

February 2025

Tic tac toe and variants
We consider various game-theoretic aspects of several variations of the school-child game of tic-tac-toe, including 4 × 4 tic-tac-toe, recursive…
 • 
Joel David Hamkins
2
The Gold Coin game
Let us play the Gold Coin game―with proper play, you can become rich! We shall make some strategic insights, but eventually we shall realize the game is…
 • 
Joel David Hamkins
4
The game of Nim
We shall study the classic game of Nim, learning the secret mathematical strategy that will enable you to win against those who don’t yet know the…
 • 
Joel David Hamkins

January 2025

Chomp
We shall together play a game by chomping on a bar of chocolate, with a game-theoretic surprise, by which one player steals the strategy of another.
 • 
Joel David Hamkins
Twenty one
Let's count together to twenty one, starting from one, with each person adding one, two, or three numbers. Whoever says “twenty-one” wins. Would you…
 • 
Joel David Hamkins
2
Finding Fifteen
Shall we play the game of Finding Fifteen? It is a fun elementary game, which also reveals a subtle game-theoretic concept when looked upon from a…
 • 
Joel David Hamkins
Interpretability of theories
We interpret one theory in another when we can translate all the concepts and structures of the first theory into the language and structural resources…
 • 
Joel David Hamkins
4
The zigzag theorem
A selection from Proof and the Art of Mathematics
 • 
Joel David Hamkins
3

December 2024

Take my Infinity final exam!
How well can you answer the questions on the final exam for my Infinity course?
 • 
Joel David Hamkins
15
Mutual and bi-interpretation of models
Enjoy this installment from A Panorama of Logic, an introduction to topics in logic for philosophers, mathematicians, and computer scientists.
 • 
Joel David Hamkins
The interpretation translation
We give a precise account of what it means to interpret one mathematical structure in another, and show how this leads to the interpretation…
 • 
Joel David Hamkins
© 2025 Joel David Hamkins
Privacy ∙ Terms ∙ Collection notice
Start WritingGet the app
Substack is the home for great culture