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In Math, Rigor Is Vital. But Are Digitized Proofs Taking It Too Far?

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In Math, Rigor Is Vital. But Are Digitized Proofs Taking It Too Far? Kristina Armitage/Quanta Magazine In ancient Greece, Euclid showed that if you agree on a small list of preliminary principles, or axioms, you can use deductive reasoning to reveal all sorts of new mathematical truths. But although these early proofs, as mathematicians call them, were derived using the laws of logic, they sometim...
The article presents a debate in mathematical circles regarding the role and methodology of formalization, particularly with Lean. This discussion revolves around the tension between increased rigor and potential complexity for human readers, as well as the practicality of implementing such an approach. A deeper implication lies in questioning whether proof should continue to be the core focus of mathematics, suggesting a possible shift towards more accessible methods for human comprehension. Pa...