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Goldbach Conjecture Revisited

Goldbach Conjecture Revisited

If you could show that the Goldbach Conjecture is "decoupled" from the Axioms of Number Theory then it could never be proved or disproved within Number Theory.

I wonder if there are ways to check if a mathematical statement is "decoupled" from the Axioms of a system?

The Goldbach Conjecture is a very simple statement, so surely it must be easy to check if it's decoupled. Methinks not!

Content written and posted by Ken Abbott