“This view [of the infinite], which I consider to be the sole correct one, is held by only a few. While possibly I am the very first in history to take this position so explicitly, with all of its logical consequences, I know for sure that I shall not be the last!” KnowsFirstsLastsViewsPositionConsequenceLogicInfiniteCertaintyUncertaintyReasoningLogicalSoleOntology Author:Georg Cantor
“A theorem is a proposition which is a strict logical consequence of certain definitions and other propositions.” CertainConsequenceDefinitionsLogicalStrictPropositionsTheorems Author:Anatol Rapoport
“At the crowded Costanzi Theater in Rome, while I was listening to the orchestral performance of your overwhelming Futurist music,1 together with my Futurist friends Marinetti, Boccioni, Carrà, Balla, Soffici, Papini, and Cavacchioli, there came to my mind the idea of a new art, one that only you can create: the Art of Noises, a logical consequence of your marvelous innovations.” MindArtIdeasTogetherListeningConsequencePerformancesTheaterInnovationNoiseLogicalOverwhelmingRomeMarvelousCrowdedFuturist Author:Luigi Russolo
“Certainly it is permitted to anyone to put forward whatever hypotheses he wishes, and to develop the logical consequences contained in those hypotheses. But in order that this work merit the name of Geometry, it is necessary that these hypotheses or postulates express the result of the more simple and elementary observations of physical figures.” OrderNamesWishSimpleResultsFiguresConsequenceObservationMeritLogicalHypothesisGeometry Author:Giuseppe Peano
“All our thoughts and concepts are called up by sense-experiences and have a meaning only in reference to these sense-experiences. On the other hand, however, they are products of the spontaneous activity of our minds; they are thus in no wise logical consequences of the contents of these sense-experiences. If, therefore, we wish to grasp the essence of a complex of abstract notions we must for the one part investigate the mutual relationships between the concepts and the assertions made about them; for the other, we must investigate how they are related to the experiences.” IfsMindArtMadeWisdomHandsHopeWishKnowledgeWiseProductsActivityConceptsConsequenceEssenceExperienceComplexesNotionRelatedAbstractLogicalMutualOur ThoughtsSpontaneousAssertion Author:Albert Einstein
“Logical consequences are the scarecrows of fools and the beacons of wise men.” MenWisdomScienceDestinyWiseFoolConsequenceLogicLogicalBeaconsFools And WiseScarecrowNatural ConsequencesBeacons Of Light Author:Thomas Huxley
“The most common way people could do time-travel would be a form of meditation in which you don't get caught up in your thoughts and don't make patterns of logical consequences follow as a result of your thinking process. It's very hard for most of us to do that if we think about it. But if you start to watch the process by which things come into being, and you begin to witness from the point of view of watching the words form, then you're beginning to move into the non-temporal mindset, or that which is free of time.” PeopleIfsThinkingWayHardWould BeMovingFormProcessResultsViewsCommonWatchesMeditationConsequencePatternsCaughtMindsetPoint Of ViewWitnessLogicalTime TravelCaught UpThinking Process Author:Fred Alan Wolf
“One logical consequence of this New Economy composed of big brands and entrepreneurial groups is that the unit of production is no longer a particular, identical product. The unit of production is the creative individual.” IndividualEconomyCreativeConsequenceLogicalEntrepreneurial Author:Robert Reich
“Intelligence is an extremely subtle concept. It's a kind of understanding that flourishes if it's combined with a good memory, but exists anyway even in the absence of good memory. It's the ability to draw consequences from causes, to make correct inferences, to foresee what might be the result, to work out logical problems, to be reasonable, rational, to have the ability to understand the solution from perhaps insufficient information. You know when a person is intelligent, but you can be easily fooled if you are not yourself intelligent.” IfsKnowsKindPersonsProblemMightScienceCausesUnderstandingMemoriesAbilityResultsInformationSolutionsDrawsConceptsConsequenceIntelligentWork OutAbsenceRationalReasonableSubtleLogicalFooledGood MemoriesInsufficientInference Author:Isaac Asimov
“I approached the bulk of my schoolwork as a chore rather than an intellectual adventure. The tedium was relieved by a few courses that seem to be qualitatively different. Geometry was the first exciting course I remember. Instead of memorizing facts, we were asked to think in clear, logical steps. Beginning from a few intuitive postulates, far reaching consequences could be derived, and I took immediately to the sport of proving theorems.” ThinkingFirstsDifferentFactsSeemsRememberScienceCoursesSportsStepsClearAdventureProveIntellectualConsequenceLogicExcitingReachingLogicalBiographiesIntuitiveGeometryRelievedChoresTheoremsTediumMemorizingSchoolwork Author:Steven Chu