“My theory stands as firm as a rock; every arrow directed against it will return quickly to its archer. How do I know this? Because I have studied it from all sides for many years; because I have examined all objections which have ever been made against the infinite numbers; and above all because I have followed its roots, so to speak, to the first infallible cause of all created things.” KnowsYearsFirstsMadeSpeakCausesSidesNumbersRocksTheoryReturnRootsLogicInfiniteCertaintyUncertaintyFirmReasoningArrowsObjectionsInfallibleOntologyArcher Author:Georg Cantor
“ANARCHISM (from the Gr. , and , contrary to authority), the name given to a principle or theory of life and conduct under which society is conceived without government harmony in such a society being obtained, not by submission to law, or by obedience to any authority, but by free agreements concluded between the various groups, territorial and professional, freely constituted for the sake of production and consumption, as also for the satisfaction of the infinite variety of needs and aspirations of a civilized being.” NeedsGovernmentLawNamesGivenPrinciplesGroupsTheoryAuthorityHarmonyInfiniteSakeSatisfactionProductionsVariousContraryVarietyObedienceAspirationAgreementCivilizedConsumptionSubmissionAnarchismTerritorialTheory Of Life Book:Anarchism: A Collection of Revolutionary Writings Source: Anarchism: A Collection of Revolutionary Writings
“You can keep counting forever. The answer is infinity. But, quite frankly, I don't think I ever liked it. I always found something repulsive about it. I prefer finite mathematics much more than infinite mathematics. I think that it is much more natural, much more appealing and the theory is much more beautiful. It is very concrete. It is something that you can touch and something you can feel and something to relate to. Infinity mathematics, to me, is something that is meaningless, because it is abstract nonsense.” ThinkingFeelsBeautifulScienceFoundNaturalAnswersForeverTheoryInfiniteMathematicsRelateAbstractNonsenseInfinityMeaninglessConcreteFiniteCounting Author:Doron Zeilberger
“Renormalization is just a stop-gap procedure. There must be some fundamental change in our ideas, probably a change just as fundamental as the passage from Bohr's orbit theory to quantum mechanics. When you get a number turning out to be infinite which ought to be finite, you should admit that there is something wrong with your equations, and not hope that you can get a good theory just by doctoring up that number.” ShouldIdeasNumbersTheoryOughtInfiniteFundamentalsGapsPassagesQuantumMechanicFiniteEquationsProceduresQuantum MechanicsOrbitDoctoring Author:Paul Dirac
“Since substance is infinite, the universe as a whole, i.e., god, Hegel is telling us that philosophy is knowledge of the infinite, of the universe as a whole, i.e, god. You cannot get more metaphysical than that. I think that Hegel scholars have to admit this basic fact rather than burying their heads in the sand and trying to pretend that Hegel is concerned with conceptual analysis, category theory, normativity or some such contemporary fad.” ThinkingTryingPhilosophyWholeFactsUniverseTheoryConcernedInfiniteContemporarySubstanceAnalysisSandCategoriesScholarMetaphysicalFadsHegelBurying Author:Frederick C. Beiser
“No one seriously doubts that if Piraha children are brought up in Boston they'll be speaking Boston English, that is, that the capacities are present, unlike other animals, as far as is known. There's no challenge to the theory - not mine, but everyone's - that the human language faculty provides the means for generation of an infinite array of structured expressions.” IfsHumansMeanChildrenLanguageChallengesAnimalKnownDoubtGenerationsMinesExpressionTheoryCapacityInfiniteFacultyBostonHuman Language Author:Noam Chomsky
“There's not a single shred of evidence for the multiverse. If, in order to explain this universe, you need a theory that invents an infinite number of parallel universes - that's not a very good theory.” IfsNeedsOrderUniverseNumbersTheoryEvidenceInfiniteVery GoodParallelsMultiverseParallel Universe Author:Adam Frank
“We know from chaos theory that even if you had a perfect model of the world, you'd need infinite precision in order to predict future events. With sociopolitical or economic phenomena, we don't have anything like that.” IfsKnowsWorldNeedsOrderPerfectEconomicEventsTheoryModelsInfiniteChaosPrecisionChaos TheoryFuture Events Author:Nassim Nicholas Taleb