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kaarelh.github.io · 2,701 words · saved by 1 readers

in isolation, this note would have been titled “the notion of an infinite endeavor”, but that wouldn’t have accorded with the schema of each note being a (hypo)thesis↩︎ we could alternatively say: to which there are finite satisfactory answers↩︎ some examples of finite problems: finding a proof or disproof of a typical conjecture in math, coming up with and implementing a data structure where certain operations have some particular attainable complexities, building a particular kind of house, coming up with special relativity (or, more generally, coming up with anything which people have already come up with); identifying the fundamental laws of physics is probably finite (but I also have some reasonable probability on it being infinite or not making sense or maybe splitting into a multitude of finite and infinite problems, e.g. involving some weirdness around finding yourself inside physics or something or around being able to choose one’s effective laws — idk)↩︎ some other infinite p

1 1 thinking can only be infinitesimally understood 1 The following questions about thinking are sometimes conceived of as ones to which satisfactory answers could be provided (in finite time) 2 : “What’s intelligence?” (a probably better version of the above:) “How does thinking work?” (a probably still better version of the above:) “How should one think?” I think it is a mistake to think of these as finite problems 3 — they are infinite. We can define a “complexity class” of those endeavors which are infinite; I claim the following are some central endeavors in this class: figuring out math,

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