The mathematics and philosophy of the infinite
| Platform |  | Pricing | Freemium | Publishes | Weekly |
|---|---|---|---|---|---|
| Issues | 157 | Founded | 4 years ago | Last Issue | 4 days ago |
| Active | |||||
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The Natural Ring of Ordinals Has Prime Factorization
The natural ring of ordinals is a unique factorization domain—every number factors uniquely as a finite product of primes.
The natural ring of ordinals ⟨Ord⟩ is the mathematical system of numbers generated by the ordinals with the operatio...
The Natural Ring of Ordinals
The natural ring of ordinals is the discretely ordered ring generated by the ordinals in the natural arithmetic. The ring exhibits many attractive features, while also holding several surprises
Let us consider the ordinals and their natura...
The big bang of numbers
I sat down a little while ago for a sweeping conversation with Lex Fridman on infinity, paradoxes, philosophy, mathematics, and more.
At one point, we turned to John Conway and the surreal numbers, and so please enjoy this excerpt from the...
The natural product of ordinals
Five different self-standing but equivalent accounts of the natural product of ordinals, reflecting five different philosophical perspectives on this fundamental, beautiful feature of the ordinals.
Let us discover together the natural prod...
The Book of Infinity—pre-orders are open
I am very pleased to announce that The Book of Infinity is available for pre-order.
The Book of Infinity, MIT Press 2026
Check it out at your favorite booksellers.
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Amazon
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Barnes and Noble
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MIT Press Bookstore
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Other opti...
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Mathematics and Philosophy of the Infinite
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