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Unprovability of Mathematical Statements

The Collatz Conjecture may be true but unprovable, implying that there exist mathematical statements that cannot be formally proven. This limitation is rooted in Gödel's Incompleteness Theorems and the undecidability of the Halting Problem. As a result, humanity may never know the truth of certain mathematical statements, even with advanced computational powers.

Mathematics & logic, Mathematics, Number Theory