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The 13 pages that link to Axiomatic method, each with the reason it gives.

• David HilbertRelated: Hilbert used axioms to clarify what geometry claims and what its proofs require.

• Euclid's ElementsNarrower topic: The Elements became the most influential early example of this method in mathematics.

• Mathematical proofNarrower topic: Proof is the engine that turns an axiomatic system into a body of results.

• Andrey KolmogorovRelated: Kolmogorov used axioms to make probability a unified mathematical discipline.

• Henry SidgwickRelated: Sidgwick seeks a small set of clear moral axioms from which ethical conclusions can follow.

• Nicolas BourbakiRelated: Bourbaki uses explicit axioms to make mathematical structures and deductions precise.

• History of geometryRelated: Euclid’s presentation made axiomatic deduction a defining geometric method.

• Pure mathematicsRelated: Axioms let mathematicians explore what follows from a chosen set of foundations.

• Gérard DebreuRelated: Debreu used axioms to expose the assumptions behind economic equilibrium results.

• Hilbert's problemsRelated: Several problems concern the foundations and consistency of mathematical axiom systems.

• Pasch's axiomNarrower topic: Pasch's axiom exemplifies the effort to separate assumptions from geometric proofs.

• May's theoremNarrower topic: May's result identifies majority rule from a small set of explicit conditions.

• Pasch's theoremNarrower topic: Pasch's theorem illustrates how geometry depends on explicit assumptions beyond incidence and order.