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The Largest Tweetable Number—Lectures on Infinity (lecture 4)
The paradox of the largest tweetable number. What is the largest number you can tweet?
Aug 12
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Joel David Hamkins
26
10
6
The Paradox of Giants: Strange Consequences in High Dimension—Lectures on Infinity (lecture 3)
The paradox of giants, the paradox of Gabriel's horn, the painter's paradox, and further paradoxes of dimension.
Jul 23
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Joel David Hamkins
19
4
5
Supertasks: Doing Infinitely Many Things — Lectures on Infinity (Lecture 2)
Let us explore several paradoxical supertasks—the deal with the Devil, balls in a sack, the Chocolatier's game, and more.
Jul 16
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Joel David Hamkins
26
6
Zeno's Paradox and Infinite Sums—Lectures on Infinity (lecture 1)
An ancient puzzle leads ultimately to a remarkable observation on the malleable nature of infinite sums.
Jul 10
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Joel David Hamkins
20
1
4
Lectures on Infinity
A series of lectures on infinity, with all my favorite paradoxes and conundrums.
Jul 9
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Joel David Hamkins
24
3
6
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The surreal numbers
Jan 6, 2024
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Joel David Hamkins
39
6
5
Zeno's paradox
Jan 7, 2023
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Joel David Hamkins
35
14
10
Mathematicians disagree on the essential structure of the complex numbers
Nov 10, 2024
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Joel David Hamkins
29
4
The Book of Numbers
Jan 2, 2023
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Joel David Hamkins
44
12
4
Lectures on Infinity
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The Largest Tweetable Number—Lectures on Infinity (lecture 4)
The paradox of the largest tweetable number. What is the largest number you can tweet?
Aug 12
•
Joel David Hamkins
26
10
6
The Paradox of Giants: Strange Consequences in High Dimension—Lectures on Infinity (lecture 3)
The paradox of giants, the paradox of Gabriel's horn, the painter's paradox, and further paradoxes of dimension.
Jul 23
•
Joel David Hamkins
19
4
5
Supertasks: Doing Infinitely Many Things — Lectures on Infinity (Lecture 2)
Let us explore several paradoxical supertasks—the deal with the Devil, balls in a sack, the Chocolatier's game, and more.
Jul 16
•
Joel David Hamkins
26
6
The surreal numbers
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The big bang of numbers
On the big bang of numbers, the surreal genesis—an excerpt from my podcast with Lex Fridman, a sweeping conversation on infinity, philosophy, and…
Apr 23
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Joel David Hamkins
8
1
The surreal line is topologically compact—or is it?
Shocking instances of compactness in the surreal line
Nov 28, 2025
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Joel David Hamkins
14
2
5
The surreal line is topologically disconnected—or is it?
The surreal line is topologically disconnected according to a natural conception of connectedness. Nevertheless, on another conception—attending to…
Nov 15, 2025
•
Joel David Hamkins
14
8
4
The ordinal numbers
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Ultrafinitism
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The Book of Infinity
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Infinite Games
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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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Recommendations
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The Nature-Nurture-Nietzsche Newsletter
Steve Stewart-Williams
Pershmail
Michael Pershan
Math and Art
Erin Carmody
Mindcreaser - Benjamin Portheault's substack
Benjamin Portheault
Science with Sabine
Sabine
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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