“Intelligence cannot be present without understanding. No computer has any awareness of what it does.” DoeUnderstandingAwarenessComputer 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
“Understanding is, after all, what science is all about — and science is a great deal more than mindless computation.” UnderstandingDealsMindlessComputation Book:Shadows of the Mind: A Search for the Missing Science of Consciousness Source: Shadows of the Mind: A Search for the Missing Science of Consciousness
“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
