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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…
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Joel David Hamkins
The curvature of space
An excerpt from Lectures on the Philosophy of Mathematics
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Joel David Hamkins
Random chess position
How likely is a random arrangement of the chess pieces on the chessboard to be a legal position?
 • 
Joel David Hamkins
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…
 • 
Joel David Hamkins
4
Infinitesimals revisited
How infinitesimal calculus became rigorous
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Joel David Hamkins
6
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Zeno's paradox
 • Joel David Hamkins
14
The surreal numbers
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5
The Book of Numbers
 • Joel David Hamkins
12
Potential versus actual infinity
 • Joel David Hamkins
20

The Book of Infinity

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Take my Infinity final exam!
How well can you answer the questions on the final exam for my Infinity course?
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Joel David Hamkins
15
Throwing Darts at the Real Line
Mathematical philosophers have proposed various thought experiments suggesting different resolutions of the continuum hypothesis. Can we hope…
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Joel David Hamkins
10
What is the infinite?
What does it mean, exactly, to say that a set is infinite? Can we provide precise mathematical definitions of the finite and the infinite?
 • 
Joel David Hamkins
4

Infinite Games

See all
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…
 • 
Joel David Hamkins
Random chess position
How likely is a random arrangement of the chess pieces on the chessboard to be a legal position?
 • 
Joel David Hamkins
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…
 • 
Joel David Hamkins
4

A Panorama of Logic

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Proof and the Art

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Philosophy of Mathematics

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Infinitely More
Infinitely More
The mathematics and philosophy of the infinite
Recommendations
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Science without the gobbledygook
Science without the gobbledygook
Sabine
The Nature-Nurture-Nietzsche Newsletter
The Nature-Nurture-Nietzsche Newsletter
Steve Stewart-Williams
A Piece of the Pi: mathematics explained
A Piece of the Pi: mathematics explained
Richard Green
New Work in Philosophy
New Work in Philosophy
Marcus Arvan
The Curious Mind
The Curious Mind
Álvaro Muñiz Brea
JDH Links
JDH web page
JDH on Twitter
JDH on Notes
JDH on MathOverflow
JDH on YouTube
JDH on Google Scholar
JDH at MIT Press
My Books
Lectures on the Philosophy of Mathematics, MIT Press 2021
Proof and the Art of Mathematics, MIT Press 2020
Proof and the Art of Mathematics: Examples and Extensions, MIT Press, 2021
A Mathematician's Year in Japan, Kindle KDP, 2015

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