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