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Square Theory

aaronson.org

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Re: Square Theory

#31

Post by Garlef »

winwang wrote: post #17

https://en.wikipedia.org/wiki/Commutative_diagram

I think Double Categories [1] would be a more appropriate setting: In a double category, the vertical and horizontal arrows are of different types. In usual commutative diagrams, they are of the same type.

[1]: https://ncatlab.org/nlab/show/double+category

Re: Square Theory

#32

Post by gostsamo »

kelseyfrog wrote: post #15

I'm a big fan of killing time on long drives with friendly word games. One of my favorites is a mix between rhyming and square theory. Here's how it works: one player picks two words that rhyme perfectly. Then, for each of those words, they choose a clue word, usually a synonym, but any kind of related word is fair game. They say those two clue words out loud, and the other players have to guess the original rhyming…

My personal recommendation is this game1. Not for travel, but a very good in forcing interesting associations and making you mad at your partner, which is a certified sign of a good game.

1 https://boardgamegeek.com/boardgame/178900/codenames

Re: Square Theory

#34

Post by stronglikedan »

cooperaustinj wrote: post #19
kelseyfrog wrote: post #15

I'm a big fan of killing time on long drives with friendly word games. One of my favorites is a mix between rhyming and square theory. Here's how it works: one player picks two words that rhyme perfectly. Then, for each of those words, they choose a clue word, usually a synonym, but any kind of related word is fair game. They say those two clue words out loud, and the other players have to guess the original rhyming…

Do you know any unfriendly word games I can try?

Perhaps give the Argument Clinic a call.

Re: Square Theory

#35

Post by gms7777 »

gostsamo wrote: post #32
kelseyfrog wrote: post #15

I'm a big fan of killing time on long drives with friendly word games. One of my favorites is a mix between rhyming and square theory. Here's how it works: one player picks two words that rhyme perfectly. Then, for each of those words, they choose a clue word, usually a synonym, but any kind of related word is fair game. They say those two clue words out loud, and the other players have to guess the original rhyming…

My personal recommendation is this game 1. Not for travel, but a very good in forcing interesting associations and making you mad at your partner, which is a certified sign of a good game. 1 https://boardgamegeek.com/boardgame/178900/codenames

If you like codenames, you might also enjoy decrypto [1], it scratches a very similar part of my brain. There's a set of secret words, and the codemaster needs to give clues that are specific enough that if you know the secret words, you can make the connection, but vague enough that you can't guess the secret words.

[1] https://boardgamegeek.com/boardgame/225694/decrypto

Re: Square Theory

#39

Post by gowld »

> However, there’s nothing about the square structure that dictates the edges must represent phrases and synonyms.

I got there and thought "Category theory", and, lo, that's the next paragraph.

> Let’s talk about Scrabble, one of the seven most important games [link to review of Seven Games book] https://www.nytimes.com/2022/01/25/books/review/seven-games-...

Seven Games was mentioned in another HN discussion last week, by 'danvk talking about his Boggle solution: https://news.ycombinator.com/item?id=44084022

HN hasn't yet taken an interest in that: https://hn.algolia.com/?dateRange=all&page=0&prefix=false&qu...

Re: Square Theory

#40

Post by mellosouls »

Nice article! It feels like there should be something AI-zeitgeist-related in there referencing word2vec or similar.

OT: Going by the url, link here on HN and slightly adjacenty vibe I got to the bottom and signature before realizing this wasn't Shtetl-Optimized finally made mobile-friendly.

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