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The infinite subway paradox—extending into the transfinite
We extend the infinite subway paradox into the countable ordinals. Can you meet the infinite subway challenge?
Sep 19
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Joel David Hamkins
5
9
The infinite subway—a full range of paradox
The second in a series of essays on the infinite subway paradox, in which we explore the full range of paradoxical behavior
Sep 11
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Joel David Hamkins
8
1
The infinite subway paradox
The first in a series of essays on the infinite subway paradox
Sep 3
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Joel David Hamkins
7
9
The Hilbert program
An excerpt from Lectures on the Philosophy of Mathematics
Aug 25
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Joel David Hamkins
23
Tactics versus strategies—the case of chess
Does chess admit of winning or drawing tactics? Which information exactly do we need to include as part of the board position?
Aug 17
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Joel David Hamkins
9
6
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
17
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
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?
Sep 11, 2024
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Joel David Hamkins
11
4
Infinite Games
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Tactics versus strategies—the case of chess
Does chess admit of winning or drawing tactics? Which information exactly do we need to include as part of the board position?
Aug 17
•
Joel David Hamkins
9
6
The tactical variation of the fundamental theorem
We prove the tactical variation of the fundamental theorem of finite games—for finite games with sufficiently rich board positions, one of the players…
Aug 10
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Joel David Hamkins
6
2
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…
Aug 3
•
Joel David Hamkins
17
6
A Panorama of Logic
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Proof and the Art
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Philosophy of Mathematics
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Recommendations
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Scientific Discovery
Saloni Dattani
Math and Art
Erin Carmody
The Nature-Nurture-Nietzsche Newsletter
Steve Stewart-Williams
Science without the gobbledygook
Sabine
The Palindrome
Tivadar Danka
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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