KnowraMathematical proofLinked fromLinked fromThe 59 pages that link to Mathematical proof, each with the reason it gives.All 59Broader topic 2Related 37Narrower topic 15Compared with 5Mathematical inductionNarrower topic: Induction is one method within the broader practice of mathematical proof.History of mathematicsNarrower topic: Changing standards of proof help explain differences among mathematical traditions.Constructive proofNarrower topic: Constructive proof is one way of establishing a mathematical statement.TheoremNarrower topic: A theorem is established by a proof that derives its conclusion from accepted premises.Chinese mathematicsNarrower topic: Chinese texts often foregrounded executable procedures rather than extended deductive proofs.Bernard BolzanoNarrower topic: Bolzano treated proof as a source of mathematical knowledge, not merely a record of discovery.William ThurstonNarrower topic: His essay challenged narrow measures of proof by distinguishing verification from understanding.Grigori PerelmanNarrower topic: Perelman’s papers required detailed verification before the proof became accepted mathematics.Millennium Prize ProblemsNarrower topic: A prize requires a proof, not numerical evidence or a plausible conjecture.Butterfly theoremNarrower topic: Its history includes many distinct proofs of the same midpoint claim.Finsler–Hadwiger theoremNarrower topic: Different proof styles expose the same geometric necessity in the theorem.Pitot theoremNarrower topic: The theorem follows from a short proof using equal tangent segments.Poincaré–Birkhoff theoremNarrower topic: The theorem’s history includes a celebrated proof whose original formulation required later clarification.Seven circles theoremNarrower topic: Different proof methods illuminate why the configuration forces collinearity.Steiner–Lehmus theoremNarrower topic: Its history includes debate over whether a proof using geometry alone was required.
KnowraMathematical proofLinked fromLinked fromThe 59 pages that link to Mathematical proof, each with the reason it gives.All 59Broader topic 2Related 37Narrower topic 15Compared with 5Mathematical inductionNarrower topic: Induction is one method within the broader practice of mathematical proof.History of mathematicsNarrower topic: Changing standards of proof help explain differences among mathematical traditions.Constructive proofNarrower topic: Constructive proof is one way of establishing a mathematical statement.TheoremNarrower topic: A theorem is established by a proof that derives its conclusion from accepted premises.Chinese mathematicsNarrower topic: Chinese texts often foregrounded executable procedures rather than extended deductive proofs.Bernard BolzanoNarrower topic: Bolzano treated proof as a source of mathematical knowledge, not merely a record of discovery.William ThurstonNarrower topic: His essay challenged narrow measures of proof by distinguishing verification from understanding.Grigori PerelmanNarrower topic: Perelman’s papers required detailed verification before the proof became accepted mathematics.Millennium Prize ProblemsNarrower topic: A prize requires a proof, not numerical evidence or a plausible conjecture.Butterfly theoremNarrower topic: Its history includes many distinct proofs of the same midpoint claim.Finsler–Hadwiger theoremNarrower topic: Different proof styles expose the same geometric necessity in the theorem.Pitot theoremNarrower topic: The theorem follows from a short proof using equal tangent segments.Poincaré–Birkhoff theoremNarrower topic: The theorem’s history includes a celebrated proof whose original formulation required later clarification.Seven circles theoremNarrower topic: Different proof methods illuminate why the configuration forces collinearity.Steiner–Lehmus theoremNarrower topic: Its history includes debate over whether a proof using geometry alone was required.