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Infinitely More

Joel David Hamkins
Hundreds of paid subscribers

The mathematics and philosophy of the infinite

Platform
Substack
PricingFreemiumPublishesWeekly
Issues167Founded4 years agoLast Issue7 days ago
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Latest Issues

Is Infinity Even or Odd?

The question is naturally taken in a variety of ways—About the ordinals? Specifically ω? But are we dividing into pairs or cutting in half? Standard or natural arithmetic? Omnific integers? Cardinals?

A curious child asks:

7 days ago
12
Paid

The Largest Tweetable Number—Lectures on Infinity (lecture 4)

Welcome to the Lectures on Infinity, my series of lectures exploring all my favorite paradoxes and conundrums.

In this instance, we shall consider the paradox of the largest tweetable number. What is the largest number that you can tweet?...

19 days ago
29
12

The Paradox of Giants: Strange Consequences in High Dimension—Lectures on Infinity (lecture 3)

Welcome to the Lectures on Infinity, a series of lectures exploring all my favorite paradoxes and conundrums.

In this third lecture, we shall explore the paradox of giants, showcasing Galileo’s argument that the traditional giants of folkl...

a month ago
19
4

Supertasks: Doing Infinitely Many Things — Lectures on Infinity (Lecture 2)

Welcome to the Lectures on Infinity, a series of lectures exploring all my favorite paradoxes and conundrums.

In this second lecture, we explore the concept of supertask—a task involving infinitely many separate actions or steps. We shall...

a month ago
26

Zeno's Paradox and Infinite Sums—Lectures on Infinity (lecture 1)

Welcome to the Lectures on Infinity, a series of lectures exploring all my favorite paradoxes and conundrums.

In this first lecture, we introduce the ancient puzzle of Zeno’s paradox and follow the thread where it leads—to the very meanin...

2 months ago
20
1

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    Mathematics and Philosophy of the Infinite

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