Ranking Paradoxes, From Least to Most Paradoxical
Some paradoxes are mind blowing and others are... not. But why? Here are 24 paradoxes, ranked from least to most paradoxical by my former students.
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Timestamps:
0:00 Intro
1:39 Veridical Paradoxes
4:14 Philosophy and Science
9:51 (More) Veridical Paradoxes
12:45 Infinity is Weird
16:56 Self-referential Paradoxes
18:50 Miscellaneous Paradoxes
21:59 The Top Three
24:31 Patreon Announcement
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References
Banach-Tarski Paradox (YouTube video): https://www.youtube.com/watch?v=s86-Z-CbaHA
Birthday Paradox (fun news article): https://www.bbc.com/future/article/20230830-the-unexpected-maths-problem-at-work-during-the-womens-world-cup
Birthday Paradox (the calculation): https://www.nku.edu/~christensen/birthday%20paradox.pdf
Braess' Paradox (blog): https://www.murky.org/blog/2020-7/braess-paradox
Gabriel’s Wedding Cake: https://www.matharticles.com/ma/ma044.pdf
Liar Paradox: https://plato.stanford.edu/entries/liar-paradox/
Monty Hall Problem (YouTube video): https://www.youtube.com/watch?v=TVq2ivVpZgQ
Paradox of the Heap: https://plato.stanford.edu/entries/sorites-paradox/
Ross-Littlewood Paradox (YouTube video): https://www.youtube.com/watch?v=Sdp_V0L99sw
Ship of Theseus (YouTube video with other versions): https://www.youtube.com/watch?v=dYAoiLhOuao
Simpson’s Paradox (YouTube video): https://www.youtube.com/watch?v=ebEkn-BiW5k
Simpson's Paradox (research article): https://arxiv.org/pdf/2005.07180
St Petersburg (the calculation): https://mathworld.wolfram.com/SaintPetersburgParadox.html
Zeno’s Paradoxes: https://plato.stanford.edu/entries/paradox-zeno/
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Created by Kelsey Houston-Edwards
Website: https://www.kelseyhoustonedwards.com