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I guess in math they found it just gets more complex, as you go deeper? eventually you need new tools, upon new tools? Is this like philosophy? you just find yo
by vertline3 8y ago
I guess in math they found it just gets more complex, as you go deeper? eventually you need new tools, upon new tools? Is this like philosophy? you just find you need more tools? I'm no expert. And that's why I'm putting question marks around.
- contravariant 8y agoOften in maths you build higher and higher abstractions until you've finally succeeded in an abstraction high enough to encode the very axioms you started with, at which point you're back where you started, if a little wiser for the journey. At this point I'm fairly sure going deeper (or higher) in mathematics is a dead end, you should instead try to go sideways, to the 'ground level' questions that aren't answered yet, or to the questions that aren't yet mathematical.
- vertline3 8y agoGreat insight. and thanks for taking the time to clear things I was likely butchering the Godel incompleteness theorem.