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Godels theorem is invalid
Quote from: OPGodels theorem is invalid Godel's theorem may be loosely paraphrased as follows: "Godel showed mathematically that you can't prove everything mathematically"... As commented, this sounds like an infinite recursion. The difference is that Godel only needed to provide one example to show that his theorem is true.To prove Godel wrong, you need to show that every possible contradiction-free mathematical system is complete, which is a bigger infinite regress than the one of which you criticise Godel. Philosophically, I see Godel's theorem as just another step in cutting down the hubris of humanity.See: https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems
Godel's theorem may be loosely paraphrased as follows: "Godel showed mathematically that you can't prove everything mathematically"...As commented, this sounds like an infinite recursion.The difference is that Godel only needed to provide one example to show that his theorem is true.
To prove Godel wrong, you need to show that every possible contradiction-free mathematical system is complete, which is a bigger infinite regress than the one of which you criticise Godel.