Goldbach Conjecture and First-Order Arithmetic

Mathematics – General Mathematics

Scientific paper

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4 pages, presented in the First International Congress of Applied Mathematics (Theoretical Foundations of Applied Mathematics)

Scientific paper

Using the concepts of Hyperbolic Classification of Natural Numbers, Essential Regions and Goldbach Conjecture Function we prove that the existence of a proof of the Goldbach Conjecture in First-Order Arithmetic would imply the existence of another proof in a certain extension that would not be valid in all states of time associated to natural numbers created by means of adequate dynamic processes.

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