“Of the properties of mathematics, as a language, the most peculiar one is that by playing formal games with an input mathematical text, one can get an output text which seemingly carries new knowledge. The basic examples are furnished by scientific or technological calculations: general laws plus initial conditions produce predictions, often only after time-consuming and computer-aided work. One can say that the input contains an implicit knowledge which is thereby made explicit.” MadeLawGamesLanguageConditionsExampleProduceComputerMathematicsPropertyMathematicalCarriePlusPeculiarFormalTechnologicalPredictionsInitialsConsumingCalculationsInputExplicitOutputImplicitTime ConsumingNew Knowledge Author:IU?. I. Manin
“A computer is a machine for constructing mappings from input to output.” ComputerMachinesInputOutputMapping Author:Michael Kirby
“When you think about it, there's no way to input things into a computer. It's all... the holes only go out, right? Like you can plug a keyboard or a mouse in but that's a trick because the computer thinks the inputs are outputs. That's a programmer trick, basically magic. The key to the future is to make holes that go in too.” ThinkingWayMagicLike YouKeysComputerTricksHolesMiceProgrammersInputKeyboardsPlugsOutput Author:Mark Zuckerberg
“As Walt Whitman correctly surmised, we are large and we harbor multitudes within us. And those multitudes are locked in chronic battle. There is an ongoing conversation among the different factions in your brain, each competing to control the single output channel of your behavior. As a result, you can accomplish the strange feats of arguing with yourself, cursing at yourself, and cajoling yourself to do something - feats that modern computers simply do not do.” DifferentResultsBrainModernStrangeBattleConversationBehaviorComputerAccomplishArguingLockedMultitudesCompetingOngoingHarborsFeatsFactionsOutputWaltCursing Author:David Eagleman