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one thing that really strikes me here is that lovecraft and eddington share a strong concern with understanding the *spiritual significance* of discoveries in physics and astronomy. lovecraft wants to know: what does it *mean* that the universe is so vast and empty?
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i want to know what it was like to be an intellectual in the first half of the twentieth century just reeling from the incompleteness theorem, relativity, quantum mechanics, all these blows to what i imagine seemed like an unassailable rational-newtonian universe
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there's a bunch of nice background about the foundational crisis in mathematics i don't want to summarize, then a description of chaitin's own work in algorithmic information theory, better than any i've read from authors who are not chaitin
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chaitin defined a real number called the halting probability, which he finds a little horrifying - and i never properly got this sense of horror from anyone else's description of this stuff. what he finds horrifying about it is that it "maximally unknowable"
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the bits of the halting probability have "no structure" to them whatsoever - it's not possible to compress them in any way, they are "mathematical truths that are true for no reason, they're true by accident! And that's why we will never know what these bits are."
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in the context of lovecraft and horror and nihilism the halting probability is this sort of bizarre encroachment of total senselessness into mathematics; it's impossible to make any sense of the halting probability whatsoever, its bits are random in a very strong sense
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but it's funny because i was never introduced to algorithmic randomness as a *horrifying* thing; the way it was introduced to me was "hey, someone came up with a way to define the randomness of a *specific* infinite sequence, isn't that cool?" which, yes, that is cool!
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Having just come away from listening to four stories—Dunwich, Cthulhu, Innsmouth, Mountains—I strongly do not get the impression that Lovecraft’s world is absurd. It is in fact extremely ordered—just ordered in a way that is indifferently, maximally hazardous and ugly to humans.
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