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Re:Gödel, Escher, Bach: an in-depth explainer by shagie on Tuesday September 13, 2022 @06:40PM (#32831094)
Veritasium - Math's Fundamental Flaw https://youtu.be/HeQX2HjkcNo

At 13:46 it gets into the "is there a way to prove every complete statement?" and furthermore goes into the Godel math for "there is no proof for the statement with Gödel number g" where that statement itself has a number "g".

The entire video is a good watch though.

And the related problem is that with Godel we don't know if math is consistent either.

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