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A Problem You'll Never Solve

2019-02-25

[public] 1.74M views, 62.6K likes, 5.29K dislikes audio only

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Newcomb’s Paradox has confounded philosophers, mathematicians, and game players for over 50 years. The problem is simple: You can take Box A, which contains $1,000, *and* Box B, which contains either $0 or $1,000,000, or you can just take Box B. The right choice seems obvious -- but there’s a catch.

Before you play, an omniscient being has predicted whether you’d take both Box A and Box B or *only* Box B. If he’s predicted that you’ll take both, he’s put $0 in Box B. If he predicts that you’ll only take Box B, he’s put $1,000,000 inside. So… what do you do?

I explore the two approaches to this problem, one based on the math of expected utility and the other based on a logical dominance principle. Newcomb’s Paradox raises questions about free will and determinism as it explores whether a problem with no solution might be easier than a problem with two perfectly valid contradictory solutions.

*** SOURCES ***

“Newcomb's Problem And Two Principles Of Choice,” by Robert Nozick

http://faculty.arts.ubc.ca/rjohns/nozick_newcomb.pdf

Newcomb’s Paradox poll results from The Guardian:

https://www.theguardian.com/science/alexs-adventures-in-numberland/2016/nov/30/newcombs-problem-which-side-won-the-guardians-philosophy-poll

*** LINKS ***

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Hosted, Produced, And Edited by Kevin Lieber

Instagram: http://instagram.com/kevlieber

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Research And Writing by Matthew Tabor

https://twitter.com/matthewktabor

Huge Thanks To Paula Lieber

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Vsauce2 Welcome to the official Vsauce2 YouTube channel! Hosted by Kevin Lieber, Vsauce2 explores recreational mathematics including, paradoxes, math games, riddles and more to uncover the surprising complexity beneath seemingly simple concepts. Vsauce2 launched in December 2010 and is run by Kevin Lieber. Vsauce is... Michael Stevens: Producer/Host of Vsauce1 Kevin Lieber: Producer/Host of Vsauce2 Jake Roper: Producer/Host of Vsauce3 Matthew Tabor: Writer for Vsauce2
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