“We have a closed circle of consistency here: the laws of physics produce complex systems, and these complex systems lead to consciousness, which then produces mathematics, which can then encode in a succinct and inspiring way the very underlying laws of physics that gave rise to it.” WayLawConsciousnessProduceMathematicsComplexesPhysicsCirclesConsistencyLaws Of PhysicsComplex Systems Author:Roger Penrose
“It is always the case, with mathematics, that a little direct experience of thinking over things on your own can provide a much deeper understanding than merely reading about them.” ThinkingLittlesReadingUnderstandingCasesDirectExperienceMathematicsDeeperReasoningMathematicianPhysicistDeeper Understanding Book:The Road To Reality: A Complete Guide to the Laws of the Universe Source: The Road To Reality: A Complete Guide to the Laws of the Universe
“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
“This book is about physics and its about physics and its relationship with mathematics and how they seem to be intimately related and to what extent can you explore this relationship and trust it.” BookSeemsRelationshipMathematicsPhysicsRelated Author:Roger Penrose
