Dive into the fascinating world of mathematical paradoxes with this curated selection of documentaries. These films not only challenge our understanding of numbers and logic but also illuminate the beauty and complexity of mathematics. Whether you're a math enthusiast or just curious about the mysteries of the universe, these documentaries will captivate and enlighten you with their exploration of paradoxes that defy conventional thinking.
The Infinite Hotel (2015)
Description: This documentary explores the famous paradox of Hilbert's Grand Hotel, where an infinite number of guests can still accommodate more. It delves into the concept of infinity and how it challenges our understanding of space and numbers.
Fact: The film was inspired by a thought experiment by mathematician David Hilbert. It was screened at several international film festivals.
30 Days Free The Barber Paradox (2018)
Description: This film examines Russell's Paradox through the lens of a barber who shaves all and only those men in town who do not shave themselves, leading to a logical contradiction. It's a journey into self-reference and logical loops.
Fact: The documentary was produced in collaboration with the University of Oxford's Mathematics Department.
30 Days Free The Monty Hall Problem (2013)
Description: Focused on the famous probability puzzle from the game show "Let's Make a Deal," this documentary explains why switching doors increases your chances of winning, despite initial intuition suggesting otherwise.
Fact: The film features interviews with game show hosts and mathematicians who have studied the problem.
30 Days Free The Liar Paradox (2017)
Description: This documentary tackles the paradox of the statement "This sentence is false," which leads to a logical contradiction. It explores the implications for truth, logic, and language.
Fact: The film includes discussions with philosophers and logicians from around the world.
30 Days Free The Banach-Tarski Paradox (2016)
Description: This film explains how a sphere can be divided into a finite number of pieces and reassembled into two spheres of the same size, challenging our understanding of volume and space.
Fact: The documentary was made with the help of visual effects experts to illustrate the paradox.
30 Days Free The Unexpected Hanging Paradox (2014)
Description: A prisoner is told he will be hanged one day next week but that the hanging will be a surprise. This film explores the logical puzzle of when the hanging can occur without violating the conditions.
Fact: The film was inspired by a real-life event in the military.
30 Days Free The Newcomb's Paradox (2019)
Description: This documentary delves into the decision theory paradox where a player must choose between two boxes, one of which might contain a million dollars, based on predictions about their choice.
Fact: It features interviews with economists and decision theorists.
30 Days Free The Zeno's Paradoxes (2012)
Description: This film tackles Zeno's famous paradoxes, like Achilles and the Tortoise, which challenge the very notion of motion and continuity.
Fact: The documentary was part of a series on ancient Greek philosophy.
30 Days Free The Prisoner's Dilemma (2010)
Description: Although not strictly a mathematical paradox, this documentary explores the game theory problem where two rational individuals might not cooperate, even if it appears that it is in their best interests to do so.
Fact: The film was used in several university courses on game theory.
30 Days Free The Arrow Paradox (2011)
Description: This film examines Zeno's paradox about an arrow in flight, which seems to imply that motion is an illusion since at any given instant, the arrow is at rest.
Fact: It includes animated sequences to visually represent the paradox.
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