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by danielmorozoff 1594 days ago
>So perhaps the best way to build efficient abstractions in systems is to think about the flow of the system in terms of axioms and conditionals. The abstractions are axioms that can be grouped together and the conditionals are the boundaries between them.

I wonder how you square this idea of generalization with Godel's incompleteness theorems?

https://plato.stanford.edu/entries/goedel-incompleteness/

2 comments

Why it is even relevant? Godel's incompletness theorem applies to almost any strong formal system with self-referential abilities, so if you want to do a good formalization, you bound to have one that satisfy Godel's theorem requirement.
Easy: have you ever had a an epiphany how idiot you were and did not understand what all people told you for a long time? Then you realized something and everything just snapped into place. You now understand all. Paff! An axiom or condition was just changed in you by an experience. Suddenly you get now what others told you. Welcome to an other system of understanding.