Previously: [1], [2], [3], [4], [5], [6], [7]
Today's commute brain noises from a magic fox having a beach episode:

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Previously: [1], [2], [3], [4], [5], [6], [7]
Today's commute brain noises from a magic fox having a beach episode:
@twocubes @loving-n0t-heyting The links etc I promised:
The main guy's writeups:
https://arxiv.org/pdf/2509.03780
https://www.lesswrong.com/posts/XHtygebvHoJSSeNPP/some-rules-for-an-algebra-of-bayes-nets
https://www.lesswrong.com/posts/dWQWzGCSFj6GTZHz7/natural-latents-the-math
https://www.lesswrong.com/posts/RTiuLzusJWyepFpbN/why-care-about-natural-latents
My partial writeups:
https://www.overleaf.com/read/wfpkyjhmmwvy#5441d9
https://www.lesswrong.com/collaborateOnPost?postId=TsFaJnxrPx6LWTWSC&key=f7d71ecf3e5b3e9f7354ebce03b521
https://www.lesswrong.com/editPost?postId=nAaLSq5izGn7kZheu&key=9e4531fcb6e0659a4d1bf16e59d9ea
My general plan: Finish up notating the rules for the algebra of Bayes nets in terms of blackbox rewriting rules for monoidal category string diagrams. Use category theory to find any rules JSW might have missed. Use even more category theory to figure out where any useful universal properties fall out, like his sense of isomorphism. Use yet more category theory to talk about this stuff in full generality, not just for Bayes nets, and probably even get cleaner or stronger proofs.
Some keywords that came up: Morita equivalence, Petri net, virtual double category, formal category theory, Lawvere metric spaces
Previously: [1], [2], [3], [4], [5], [6], [7], [8/B], [9]
Today's commute brain noises from a magic fox zooming beneath an inland sea:
ok ok hear me out here:
the rule of leftovers (that you generally shouldn't remix or reheat already remixed or reheated leftovers if you care about food coming out good) is a lot like chain complexes (the image of successive morphisms when composed must be exactly 0/the identity object)
the sex I have not had, am not having, and will continue not to have is astoundingly and essentially gay and there's nothing any of you can do about it.
Previously: [1], [2], [3], [4], [5], [6]
Today's commute brain noises from a magic fox zooming beneath an inland sea:
something ive wondered about hydrogen drilling is transport. Do you have to build a pipeline from the well to the haber-bosch plant, or do you put it on a truck, or do you build a new haber-bosch plant at the well? Or can you just drill a well at the haber-bosch plant, like with the method where you inject water to react with the rock idk how restricted it is about the site
I actually don't know, but I'd strongly expect that you'd want to build a new ammonia plant on-site. The idea I'd had was to inject carbonated water - CO2 also gets sequestered geochemically in the same class of reactions, turning hydroxides into carbonates - and then also use more CO2 pulled out of the air to turn raw hydrogen into useful hydrocarbons. The reason here for using the hydrogen instead of shipping it is twofold: you could use some of the hydrogen as both power source and fuel for hot flames to run the release half of a calcium carbonate/calcium oxide-based CO2 capture setup, and because IIRC hydrogen is a right fucker to pipe around between tiny molecules escaping easily and hydrogen embrittlement of steel. So you'd want to use most of it very quickly and close to source, and you could pull off the nitrogen fraction out of the air alongside the CO2.
Previously: [1], [2], [3], [4]
Today's commute brain noises from a magic fox zooming beneath an inland sea: