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Infinitely More

Joel David Hamkins
Hundreds of paid subscribers

The mathematics and philosophy of the infinite

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PricingFreemiumPublishesWeekly
Issues173Founded4 years agoLast Issue3 days ago
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Latest Issues

What is infinity? —Lectures on Infinity (lecture 7)

Welcome to these Lectures on Infinity, my series of lectures exploring all my favorite paradoxes and conundrums, based on my book, The Book of Infinity.

In this lecture, we explore the question: what is infinity? What is the infinite? Can...

3 days ago
10
2

Every game of chess ends prematurely

Why do we play chess for checkmate instead of playing more naturally to capture the enemy king? Would it be game-theoretically equivalent? Surprisingly, no, the two ways of playing are not equivalent.

Why are the rules of chess regarding t...

16 days ago
23
4
Paid

Galileo’s Paradox of Infinity—Lectures on Infinity (lecture 6)

Welcome to these Lectures on Infinity, my series of lectures exploring all my favorite paradoxes and conundrums, based on my book, The Book of Infinity.

In this instance, we shall consider Galileo’s paradox of infinity and the concept of e...

a month ago
11
2

Ordinal definability—how did Gödel do it?

Gödel proposed the concept of ordinal definability well before the reflection theorem of Lévy and Montague existed. How did he do it?

Kurt Gödel introduced the concept of ordinal definability in 1946, making key claims about it and insight...

a month ago
22
Paid

Potential versus Actual Infinity—Lectures on Infinity (lecture 5)

Welcome to these Lectures on Infinity, my series of lectures exploring all my favorite paradoxes and conundrums, based on my book, The Book of Infinity.

In this instance, we shall consider the classical dispute between two conceptions of i...

2 months ago
11
3

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    Mathematics and Philosophy of the Infinite

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