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this post was submitted on 26 Jun 2024
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Asklemmy
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Two addenda:
Incompleteness applies to all formal systems of logic, not just maths, which means that the systems we based the scientific method and our best attempts at justice systems and formal argumentation/debate and academia are all subject to incompleteness.
Incomplete systems can also be inconsistent, it's possible everything we base our collective knowledge on are such systems.