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Tactics versus strategies in the theory of games
How do tactics differ from strategies? Does the fundamental theorem of finite games hold for tactics? Must every finite game have a winning tactic for…
5 hrs ago
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Joel David Hamkins
7
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Tactics versus strategies in the theory of games
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July 2025
The curvature of space
An excerpt from Lectures on the Philosophy of Mathematics
Jul 27
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Joel David Hamkins
10
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The curvature of space
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Random chess position
How likely is a random arrangement of the chess pieces on the chessboard to be a legal position?
Jul 20
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Joel David Hamkins
9
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Random chess position
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3
Infinite Sudoku
Shall we play the Sudoku game? Starting from an empty board, we take turns placing numbers, always conforming with the Sudoku condition. Who wins? And…
Jul 12
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Joel David Hamkins
9
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Infinite Sudoku
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4
Infinitesimals revisited
How infinitesimal calculus became rigorous
Jul 4
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Joel David Hamkins
16
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Infinitesimals revisited
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6
June 2025
Boomerang tilings
Can you tile a convex polygon with boomerangs? Let's find out.
Jun 25
•
Joel David Hamkins
6
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Boomerang tilings
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21
Infinite Connect Four
Shall we play infinite Connect Four on the expansive infinite board? What size winning chains might we aspire to make? What are the winning strategies…
Jun 17
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Joel David Hamkins
7
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Infinite Connect Four
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1
Abstraction in the function concept
A century ago mathematics witnessed a dramatic enlargement and abstraction of this central concept. Let's explore some of the mind-expanding new…
Jun 9
•
Joel David Hamkins
11
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Abstraction in the function concept
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May 2025
On going first
Would you rather go first or second? In many games, there is a definite advantage one way or the other. How can we redress these imbalances, if we seek…
May 30
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Joel David Hamkins
5
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On going first
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How we might have viewed the continuum hypothesis as a fundamental axiom necessary for mathematics
By mounting a philosophical historical thought experiment, I argue that our attitude toward the continuum hypothesis could easily have been very…
May 22
•
Joel David Hamkins
9
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How we might have viewed the continuum hypothesis as a fundamental axiom necessary for mathematics
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12
Take my Philosophy and Logic of Games final exam!
Can you pass the exam for my games course?
May 14
•
Joel David Hamkins
12
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Take my Philosophy and Logic of Games final exam!
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10
Pushpast
Can the triangles push past the circles?
May 7
•
Joel David Hamkins
1
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Pushpast
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