“Bell's theorem...proves that quantum theory requires connections that appear to resemble telepathic communication.” ScienceTheoryCommunicationProveConnectionsBellsQuantumMechanicQuantum MechanicsTheoremsQuantum Theory Book:The dancing Wu Li masters: an overview of the new physics Source: The dancing Wu Li masters: an overview of the new physics
“A proven theorem of game theory states that every game with complete information possesses a saddle point and therefore a solution.” StatesGamesInformationTheorySolutionsProvenTheoremsSaddles Author:Richard Arnold Epstein
“Human rights are an aspect of natural law, a consequence of the way the universe works, as solid and as real as photons or the concept of pi. The idea of self- ownership is the equivalent of Pythagoras' theorem, of evolution by natural selection, of general relativity, and of quantum theory. Before humankind discovered any of these, it suffered, to varying degrees, in misery and ignorance.” WayHumansIdeasRealSelfLawUniverseNaturalRightsIgnoranceTheoryEvolutionDegreesConceptsConsequenceAspectMiseryHuman RightsHumankindQuantumOwnershipSelectionRelativityNatural SelectionNatural LawTheoremsQuantum TheoryPhotonsGeneral RelativitySelf Ownership Author:L. Neil Smith
“It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success, did not leave us with the proofs of the theorems he discovered. In truth, Messrs Euler and Lagrange, who have not disdained this kind of research, have proved most of these theorems, and have even substituted extensive theories for the isolated propositions of Fermat. But there are several proofs which have resisted their efforts.” KindMatterNumbersEffortRegretTheoryResearchProofIsolatedPropositionsTheoremsEuler Author:Adrien-Marie Legendre
“The theory of numbers, more than any other branch of mathematics, began by being an experimental science. Its most famous theorems have all been conjectured, sometimes a hundred years or more before they were proved; and they have been suggested by the evidence of a mass of computations.” YearsHas BeensSometimesNumbersTheoryMassHundredEvidenceMathematicsBranchesTheoremsComputationExperimental Science Author:G. H. Hardy
“Though determinants and matrices received a great deal of attention in the nineteenth century and thousands of papers were written on these subjects, they do not constitute great innovations in mathematics.... Neither determinants nor matrices have influenced deeply the course of mathematics despite their utility as compact expressions and despite the suggestiveness of matrices as concrete groups for the discernment of general theorems of group theory.” CoursesDealsAttentionWrittenGroupsSubjectsCenturyExpressionTheoryPaperInnovationMathematicsDespiteConcretePapersUtilityDiscernmentNineteenth CenturyTheoremsCompact Book:Mathematical Thought From Ancient to Modern Times Source: Mathematical Thought From Ancient to Modern Times
“The theory that gravitational attraction is inversely proportional to the square of the distance leads by remorseless logic to the conclusion that the path of a planet should be an ellipse .... It is this logical thinking that is the real meat of the physical sciences. The social scientist keeps the skin and throws away the meat.... His theorems no more follow from his postulates than the hunches of a horse player follow logically from the latest racing news. The result is guesswork clad in long flowing robes of gobbledygook.” ThinkingShouldLongRealScienceSocialResultsPathPlayerPlanetsTheoryNewsLogicSkinsScientistHorseDistanceAttractionConclusionMeatLogicalRacingSquaresRobesTheoremsLogical ThinkingHunchesPhysical ScienceRemorselessGuesswork Author:Anthony Standen
“A mathematician is a person who can find analogies between theorems; a better mathematician is one who can see analogies between proofs and the best mathematician can notice analogies between theories.” PersonsTheoryProofMathematicianAnalogiesTheorems Author:Stefan Banach