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ok, but all of those rabbit holes have bottoms. It just may be that the space in between represents a year or more of learning.
by ouid 6y ago
ok, but all of those rabbit holes have bottoms. It just may be that the space in between represents a year or more of learning.
- iso8859-1 6y agoThey don't have bottoms, because at the bottom you have logical assumptions like e.g. classical logic. These only exist because of history, only because it was the easiest way for someone to say something "insightful". Going down the rabbit hole, you have to choose some arbitrary point to stop at; it would be a point at which you think that you can apply the knowledge you have gained so far, in a way that other people will "appreciate". Or you can just not stop, and try to go even deeper. But then you stop being a mathematician, and you turn into a madman, a philosopher or a theologist.
- drdeca 6y agoThe "rabbit hole" being discussed is just "understanding a step in an argument", not, providing a foundation for logic. It's not impossible to gain understanding of a step in someone else's argument.