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Lectures on Infinity
Galileo’s Paradox of Infinity—Lectures on Infinity (lecture 6)
Galileo recognized that some infinite collections can be placed into one-to-one correspondence with a proper subcollection. How are we thus to make…
Sep 30
•
Joel David Hamkins
9
2
1
Potential versus Actual Infinity—Lectures on Infinity (lecture 5)
Two radically different conceptions of the infinite—potentialism versus actualism. Disputed for millennia, then a sea change in views. Contemporary…
Sep 9
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Joel David Hamkins
10
3
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
35
12
8
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
21
1
4
Lectures on Infinity
A series of lectures on infinity, with all my favorite paradoxes and conundrums.
Jul 9
•
Joel David Hamkins
24
3
6
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