I guess people who believe in 17 dimensional chess tend not to respect mathematicians, but we need some authoritative body to explain that games of strategy in higher dimensions are less complicated, not more, because there are more escape paths from any trap. It is like soccer.
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Summary of some of what was discussed in the thread: (1) Two-player games that are computationally "hard" to solve can be easier in practice because your opponent is just as befuddled as you are. This means playing cleverly may be no better than playing randomly and chillaxing.
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(2) 17-dimensional chess may be a good analogy for recent electoral victories in the sense that democracy is an inherently random game where a monkey tweeting blindly may do no worse than a seasoned strategist. This fact about elections is explained by Arrow's Theorem.
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(3) Expanding chess to higher dimensions introduces ambiguities in how to extend the rules that make it hard to definitively say anything about "the" 17D chess. It is also hard to prove things definitively in this realm without first proving P = NP. I promise I am working on it.
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(4) Finally, if you know how to play Go, playing a computer implementation of 3D Go (it's not so easy in meatspace) makes the geometric intuition behind the trapping problem very clear. For the unintuitively inclined, this may also help: https://en.wikipedia.org/wiki/Curse_of_dimensionality ….pic.twitter.com/TxvbplwWD3
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Rotem Eren 🤦🏻♀️ Retweeted
I see people are still coming back to this thread so I wanted to highlight the champion reply. https://twitter.com/JanssenBro/status/1021589778339225601 …
Rotem Eren 🤦🏻♀️ added,
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It looks like there's been a bit of inspirationception in terms of what led to what, but anyway here is
@vgr's post about 4D chess, which may or may not have been inspired by and/or retrocausally inspired this thread.https://mailchi.mp/ribbonfarm/how-to-not-lose-at-4d-chess …1 reply 2 retweets 8 likesShow this thread
It was
Crossed my radar fleetingly but couldn’t find it again since you used rhetorical 17d rather than common 4d. My original ‘4d chess is boring’ was earlier but a much shallower drive-by thought
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