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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…
Feb 7
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Joel David Hamkins
4
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The game of Nim
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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.
Jan 31
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Joel David Hamkins
8
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Chomp
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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…
Jan 23
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Joel David Hamkins
3
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Twenty one
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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…
Jan 20
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Joel David Hamkins
6
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Finding Fifteen
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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…
Jan 11
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Joel David Hamkins
8
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Interpretability of theories
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Zeno's paradox
Jan 7, 2023
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Joel David Hamkins
30
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Zeno's paradox
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14
The Book of Numbers
Jan 2, 2023
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Joel David Hamkins
34
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The Book of Numbers
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12
Potential versus actual infinity
Apr 14, 2023
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Joel David Hamkins
22
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Potential versus actual infinity
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20
The surreal numbers
Jan 6, 2024
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Joel David Hamkins
22
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The surreal numbers
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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?
Dec 21, 2024
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Joel David Hamkins
15
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Take my Infinity final exam!
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15
Throwing Darts at the Real Line
Mathematical philosophers have proposed various thought experiments suggesting different resolutions of the continuum hypothesis. Can we hope…
Sep 25, 2024
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Joel David Hamkins
8
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Throwing Darts at the Real Line
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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?
Sep 11, 2024
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Joel David Hamkins
8
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What is the infinite?
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Infinite Games
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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…
Feb 7
•
Joel David Hamkins
4
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The game of Nim
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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.
Jan 31
•
Joel David Hamkins
8
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Chomp
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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…
Jan 23
•
Joel David Hamkins
3
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Twenty one
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2
A Panorama of Logic
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Proof and the Art
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Philosophy of Mathematics
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The mathematics and philosophy of the infinite
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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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