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Published November 22, 2020 | Version v108

Goldbach's Conjecture — A Route to the Inconsistency of Arithmetic

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This paper proves an inconsistency in Peano arithmetic (PA) by showing that a strengthened form of the strong Goldbach conjecture as well as its negation can be derived. This contradiction is the consequence of two properties of a specific set which we use to reformulate the conjecture.

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