“My work on prime gaps lead to lots of media coverage, some good, some bad, some ugly, and some merely ridiculous. For example, a reporter of our university newspaper, who admitted that he is still learning English, wrote that "Prof. Goldston solved one of the most controversial problems in the prime number theory last month with support from his Turkish partner."” StillsProblemLastsScienceNumbersSupportMediaExampleTheoryMonthsMathematicsUniversityUglyPartnersRidiculousNewspapersGapsPrimeReportersControversialCoverageTurkishLearning EnglishPrime NumbersMedia Coverage Author:Daniel Goldston
“The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the impossibility of it. However, if I am not mistaken, they have not as yet succeeded. I therefore dare hope that the mathematicians will receive this memoir with good will, for its purpose is to fill this gap in the theory of algebraic equations.” IfsHas BeensPurposeTheoryProveFindingsSolutionsDareMemoirGapsMathematicianMistakenEquationsImpossibilityGood Will Author:Niels Henrik Abel
“In geometry I find certain imperfections which I hold to be the reason why this science, apart from transition into analytics, can as yet make no advance from that state in which it came to us from Euclid. As belonging to these imperfections, I consider the obscurity in the fundamental concepts of the geometrical magnitudes and in the manner and method of representing the measuring of these magnitudes, and finally the momentous gap in the theory of parallels, to fill which all efforts of mathematicians have so far been in vain.” StatesReasonCertainEffortTheoryConceptsMethodFundamentalsVainReason WhyBelongingGapsTransitionImperfectionMathematicianParallelsGeometryObscurityRepresentingMagnitudeMeasuringAnalyticsEuclid Author:Nikolai Lobachevsky
“Renormalization is just a stop-gap procedure. There must be some fundamental change in our ideas, probably a change just as fundamental as the passage from Bohr's orbit theory to quantum mechanics. When you get a number turning out to be infinite which ought to be finite, you should admit that there is something wrong with your equations, and not hope that you can get a good theory just by doctoring up that number.” ShouldIdeasNumbersTheoryOughtInfiniteFundamentalsGapsPassagesQuantumMechanicFiniteEquationsProceduresQuantum MechanicsOrbitDoctoring Author:Paul Dirac
“The key role of entrepreneurs, like the most crucial role of scientists, is not to fill in the gaps in an existing market or theory, but to generate entirely new markets or theories. . .They stand before a canvas as empty as any painter's; a page as blank as any poet's.” RolesPoetTheoryKeysPagesEmptyScientistEntrepreneurPainterGapsCrucialBlankCanvas Book:The Spirit of Enterprise Source: The Spirit of Enterprise
“There is too much ideological conformity in gender studies. The true-believers fashion the theories, write the textbooks and teach the students. When journalists, policymakers, and legislators address topics such as the wage gap, gender and education, or women's health, they turn to these experts for enlightenment. For the most part, they peddle misinformation, victim politics, and sophistry. They claim that their teachings represent the academic consensus, but that is only because they have excluded all dissenters.” WritingTurnsTeachStudyToo MuchTeachingFashionStudentsTheoryEnlightenmentClaimsVictimGenderBelieverJournalistExpertsAddressesGapsConformityAcademicTopicsConsensusIdeologicalTextbooksLegislatorsExcludedMisinformationTrue BelieverSophistryWomen's Health Author:Christina Hoff Sommers