“No doubt there are some who, when confronted with a line of mathematical symbols, however simply presented, can only see the face of a stern parent or teacher who tried to force into them a non-comprehending parrot-like apparent competence--a duty and a duty alone--and no hint of magic or beauty of the subject might be allowed to come through.” MightFacesForceParentLinesDoubtTeacherMagicSubjectsDutySymbolsMathematicalNo DoubtCompetenceHintsParrotsComprehending Author:Roger Penrose
“Well, gauge theory is very fundamental to our understanding of physical forces these days. But they are also dependent on a mathematical idea, which has been around for longer than gauge theory has.” WellsHas BeensIdeasForceUnderstandingTheoryFundamentalsMathematicalThese DaysDependentGaugesPhysical Force Author:Roger Penrose
“I imagine that whenever the mind perceives a mathematical idea, it makes contact with Plato's world of mathematical concepts... When mathematicians communicate, this is made possible by each one having a direct route to truth, the consciousness of each being in a position to perceive mathematical truths directly, through the process of 'seeing'.” WorldMindMadeIdeasProcessConsciousnessImagineSeeingPositionConceptsDirectMathematicsCommunicateContactMathematicalPerceiveImagine ThatMathematicianRoutesPlatoPlato S Book:The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics Source: The Emperor's New Mind: Concerning Computers, Minds, and the Laws of Physics
