“The enormous usefulness of mathematics in the natural sciences is something bordering on the mysterious and there is no rational explanation of it.” NaturalLogicMathematicsEnormousRationalMysteriousCertaintyUncertaintyExplanationReasoningUsefulnessOntologyNatural Science Book:Philosophical Reflections and Syntheses Source: Philosophical Reflections and Syntheses
“The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve.” LawScienceLanguageUnderstandingWonderfulDeserveLogicMiracleMathematicsPhysicsCertaintyUncertaintyReasoningPhysicistDeservingOntologyLaws Of PhysicsLack Of UnderstandingAppropriateness Book:Philosophical Reflections and Syntheses Source: Philosophical Reflections and Syntheses
“The miracle of the appropriateness of the language of mathematics for the formulation of the laws of physics is a wonderful gift which we neither understand nor deserve. We should be grateful for it and hope that it will remain valid in future research and that it will extend, for better or for worse, to our pleasure, even though perhaps also to our bafflement, to wide branches of learning.” ShouldLawLanguagePleasureWonderfulResearchDeserveLogicMiracleMathematicsGratefulWidePhysicsCertaintyUncertaintyReasoningBranchesBe GratefulOntologyLaws Of PhysicsAppropriateness Book:Philosophical Reflections and Syntheses Source: Philosophical Reflections and Syntheses
“The great mathematician fully, almost ruthlessly, exploits the domain of permissible reasoning and skirts the impermissible. That his recklessness does not lead him into a morass of contradictions is a miracle in itself: certainly it is hard to believe that our reasoning power was brought, by Darwin's process of natural selection, to the perfection which it seems to possess.” BelieveDoeHardSeemsProcessNaturalPerfectionMiracleReasoningContradictionMathematicianSelectionDomainExploitsSkirtsNatural SelectionHard To BelieveRecklessness Author:Eugene Wigner
