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related to this, i've observed a funny pattern with respect to godel's incompleteness theorem specifically that the better someone understands the technical details behind it, the less philosophical or metaphysical significance they assign it
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🆕🔭 How the foundational crises in math and physics a century ago undermined confidence in social institutions, leading—via the anti-rational New Age and Evangelical movements—to our current chaotic dysfunctions. meaningness.com/collapse-of-ra
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i guess personally i'm just used to it, like yes there's this eldritch horror at the bottom of mathematics that makes a mockery of our attempts to be absolutely certain of anything, and... it's just not a big deal! regular math works just fine anyway, so does everything else
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also separately y'all might have fun learning more about the historical context of the foundational crisis in mathematics. it must've been a weird time to live through en.wikipedia.org/wiki/Foundatio
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Replying to @JakeOrthwein
it's really a shame to learn this material without the historical context of the crisis in foundations and what a big deal it seemed like at the time. logicomix is the closest thing i know of to a really dramatic presentation: amazon.com/Logicomix-sear