Square Theory
aaronson.org
Square Theory
1–10 of 144 posts
Re: Square Theory
#2Aargh! I hate it when people quote text as images because it makes it impossible to cut and paste.
> Jet black/Jet Blue ... catnap/dognap
My favorite examples are how prepositions can change the meanings of idioms. For example, to be "down for" something and "down with" something mean the same thing, but to be "down on" something means the opposite. (And going down to X means something very, very different from going down on X. That last example is also interesting from a geeky HN point of view because the preposition imposes a type constraint on the binding of X, which is why I had to use "X" instead of "something" :-)
Re: Square Theory
#3Aargh! I hate it when people quote text as images because it makes it impossible to cut and paste. > Jet black/Jet Blue ... catnap/dognap My favorite examples are how prepositions can change the meanings of idioms. For example, to be "down for" something and "down with" something mean the same thing, but to be "down on" something means the opposite. (And going down to X means something very, very different from going…
> I hate it when people quote text as images because it makes it impossible to cut and paste.
That's much less true than it used to be! I don't know what device you're using, but on my iPhone I can seamlessly copy the text from that image.
Re: Square Theory
#4what a lovely Baader-Meinhof for Ricki Heicklen's delightful "Unparalleled Misalignments", which showed up on HN not too long ago!
Re: Square Theory
#5This is pretty cool. I wonder what logic/math describes it?
Re: Square Theory
#6what a lovely Baader-Meinhof for Ricki Heicklen's delightful "Unparalleled Misalignments", which showed up on HN not too long ago!
Re: Square Theory
#7what a lovely Baader-Meinhof for Ricki Heicklen's delightful "Unparalleled Misalignments", which showed up on HN not too long ago!
> what a lovely Baader-Meinhof
Which attractive terrorists?
Re: Square Theory
#8Aargh! I hate it when people quote text as images because it makes it impossible to cut and paste. > Jet black/Jet Blue ... catnap/dognap My favorite examples are how prepositions can change the meanings of idioms. For example, to be "down for" something and "down with" something mean the same thing, but to be "down on" something means the opposite. (And going down to X means something very, very different from going…
Down for lunch?
Down with lunch!
(Breakfast food is yummier).
Re: Square Theory
#9> If you’ve ever tried to construct a crossword, you’ll find that the framing of a crossword grid under square theory feels right. When you’re nearing the end of the grid-filling process, finding valid crossings of words to fill that final corner of a grid, there’s a satisfying “clicking” feeling—a sense of magic—when it all fits together, analogous to the wrapping-around feeling of completing the square.
If you enjoy this feeling, I think you would like my word game https://spaceword.org. The goal is to arrange 21 letters in a square that is as tight as possible. No one has achieved a "perfect" pattern yet, but people are very close, often leaving only 3 spaces blank!
Re: Square Theory
#10This is pretty cool. I wonder what logic/math describes it?
While it doesn't fully describe it, his category theory diagram reference seems relevant to me.
The stricter of the squares seem to be a homomorphism. But the "looser" ones which don't "preserve structure" after the transformation but "find a new structure" are some of the more interesting ones.