👉 In logic and mathematics, a statement that is considered false but cannot be proven to be true. Unprovable statements are often used in mathematical proofs to show that certain mathematical concepts or principles are not provable from axioms. For example, consider the statement "There exists an irrational number x such that 1 + 2x + 3x^2 + ... = n." If we were to prove this statement using a set of axioms, it would be necessary to show that for