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Paradoxology
The Science of Paradox
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Prime Numbers, Strong Induction and Euclid’s Lemma: How to Prove the Fundamental Theorem of…
Prime Numbers, Strong Induction and Euclid’s Lemma: How to Prove the Fundamental Theorem of…
A complete explanation of an important theorem
Hein de Haan
May 1
Hilbert’s Bank: Why the St. Petersburg Paradox Presents a Problem For Expected Utility
Hilbert’s Bank: Why the St. Petersburg Paradox Presents a Problem For Expected Utility
Infinity is messing things up
Hein de Haan
Apr 3
Quine, Heinlein and the Terminator: A Self-Referential Journey Through Spacetime
Quine, Heinlein and the Terminator: A Self-Referential Journey Through Spacetime
SPOILERS! This post spoils stuff from the movie Predestination as well as multiple Terminator movies
Hein de Haan
Mar 29
Beers, Muddy Children and Colored Hats: When Human Beings Are Perfectly Logical
Beers, Muddy Children and Colored Hats: When Human Beings Are Perfectly Logical
Having fun with induction puzzles
Hein de Haan
Feb 23
Monty Hall, Deal or No Deal and the Prisoners: An Improbable Journey
Monty Hall, Deal or No Deal and the Prisoners: An Improbable Journey
Or: The Fall of Monty Hall
Hein de Haan
Feb 22
Hilbert’s Hotel 2.0: Is Infinity Odd or Even?
Hilbert’s Hotel 2.0: Is Infinity Odd or Even?
Even more thought experiments on infinity
Hein de Haan
Feb 8
Berry, Kolmogorov and the Halting Problem: A Paradoxical Journey
Berry, Kolmogorov and the Halting Problem: A Paradoxical Journey
How the Berry paradox, Kolmogorov complexity, Solomonoff induction, Occam’s razor, the Halting problem and Goldbach’s conjecture relate to…
Hein de Haan
Jan 16
Achilles, the Tortoise and the Hotel: Exploring the Infinite
Achilles, the Tortoise and the Hotel: Exploring the Infinite
Why infinity is useful, and what kinds of infinity there are
Hein de Haan
Sep 1, 2023
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