- #1
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mfb submitted a new PF Insights post
Intransitive Dice with a Twist
Continue reading the Original PF Insights Post.
Intransitive Dice with a Twist
Continue reading the Original PF Insights Post.
Intransitive Dice with a Twist - Comments
- Context: Insights
- Thread starter mfb
- Start date
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- Tags
- dice probability
Click For Summary
Discussion Overview
The discussion revolves around the concept of intransitive dice, particularly in relation to a PF Insights article that explores this topic further. Participants share their thoughts on the implications and complexities of intransitive dice, referencing external sources and personal experiences.
Discussion Character
- Exploratory, Technical explanation, Debate/contested
Main Points Raised
- Some participants express interest in the concept of intransitive dice, noting its complexity and the challenges it presents.
- One participant mentions a YouTube video from Numberphile that introduced the idea of nontransitive dice, suggesting that the article expands on this concept.
- Another participant references a proof found on Reddit stating that all fair intransitive dice must have the same average, indicating a mathematical exploration of the topic.
- Two recent research papers related to intransitive dice are mentioned, highlighting ongoing academic interest and investigation into the properties of these dice.
- Several participants express enthusiasm for the topic, with one noting that while they find it fascinating, it can also be quite confusing.
Areas of Agreement / Disagreement
Participants generally express interest in the topic, but there is no consensus on specific claims or interpretations of the mathematical properties of intransitive dice. Multiple viewpoints and references to external sources indicate ongoing exploration and debate.
Contextual Notes
Some claims made by participants depend on specific definitions and assumptions about fairness and transitivity in dice, which may not be universally agreed upon. The discussion includes references to external research that may not be fully explored within the thread.
Who May Find This Useful
Readers interested in probability theory, mathematical games, and the properties of dice may find this discussion relevant and engaging.
- #2
mathman
Science Advisor
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What is the question?
- #3
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It is an Insights article, not a question thread. What exactly are you missing?
- #4
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I saw a YouTube video, maybe on Numberphile, which introduced this idea of nontransitive dice. Your article takes it to another level.
- #5
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scottdave said:
- #6
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Someone at reddit found a proof that all fair intransitive dice need the same average.
- #7
OldWorldBlues
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I love this stuff, but it makes my head hurt 
- #8
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Two more recent research papers:
Intransitive dice tournament is not quasirandom
The probability that a random triple of dice is transitive
And an article discussing them:
Mathematicians Roll Dice and Get Rock-Paper-Scissors
Intransitive dice tournament is not quasirandom
The probability that a random triple of dice is transitive
And an article discussing them:
Mathematicians Roll Dice and Get Rock-Paper-Scissors
- #9
Office_Shredder
Staff Emeritus
Science Advisor
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Very cool, thanks for writing this!
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