The mathematics and philosophy of the infinite
| Platform |  | Pricing | Freemium | Publishes | Weekly |
|---|---|---|---|---|---|
| Issues | 164 | Founded | 4 years ago | Last Issue | 6 days ago |
| Active | |||||
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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...
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...
Lectures on Infinity
A little while ago I spent some time in the Ergo studios in New York filming a series of lectures on infinity, and I am very pleased to say that they are now available.
These lectures are an exploration of all my favorite paradoxes and co...
The Natural Field of Ordinals
Which numbers are transcendental over the ordinals? Which are irrational? Let us introduce the natural field of ordinals and consider the status of √2, √ω, e, and π, among other numbers.
Which numbers are transcendental over the ordinals?...
Fermat’s last theorem in the natural ring of ordinals
Are there any nontrivial solutions of the famous Fermat equation in the natural ring of ordinals?
Let’s have some fun by considering whether Fermat’s last theorem holds in the natural ring of ordinals. What do you think? I expect that you...
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Mathematics and Philosophy of the Infinite
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