👉 Threatened math refers to the set of mathematical concepts and results that are considered foundational but whose proofs or applications have been compromised due to the discovery of counterexamples or the realization that they cannot be generalized. This includes areas like non-Euclidean geometries, where certain classical theorems no longer hold in their original form, and the collapse of Hilbert's axioms in certain models of arithmetic. The threat lies in how these changes can undermine the rigor and universality of mathematical theories, potentially leading to a reevaluation of what constitutes valid mathematical reasoning and proof.
