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Numbers Quotes

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Numbers Quotes

“The actual infinite arises in three contexts: first when it is realized in the most complete form, in a fully independent otherworldly being, in Deo, where I call it the Absolute Infinite or simply Absolute; second when it occurs in the contingent, created world; third when the mind grasps it in abstracto as a mathematical magnitude, number or order type.”

WorldMindFirstsFormOrderThreeNumbersTypeLogicThirdsAbsolutesInfiniteIndependentAriseCertaintyMathematicalUncertaintyReasoningMagnitudeOntologyFinite Number
Author:Georg Cantor
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“On the most usual assumption, the universe is homogeneous on the large scale, i.e. down to regions containing each an appreciable number of nebulae. The homogeneity assumption may then be put in the form: An observer situated in a nebula and moving with the nebula will observe the same properties of the universe as any other similarly situated observer at any time.”

MayMovingFormScienceUniverseNumbersPropertyScalesObservationAssumptionRegionsUsualObserversContainingLarge ScaleHomogeneousHomogeneityNebula
Author:Hermann Bondi
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“In any form of art designed to appeal to large numbers of people,...[t]he rich man is usually 'bad', and his machinations are invariably frustrated.:; 'Good poor man defeats bad rich man' is an accepted formula.”

PeopleMenArtFormPoorNumbersRichDefeatAcceptedAppealsFormulasFrustratedLarge NumbersRich ManPoor Man
Book:The Collected Essays, Journalism, and Letters of George Orwell: As I please, 1943-1945
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“Henceforward the Christian Churches having a form of godliness, but denying the power thereof, came into the hands of the Encratites: and the Heathens, who in the fourth century came over in great numbers to the Christians, embraced more readily this sort of Christianity, as having a greater affinity with their old superstitions, than that of the sincere Christians; who by the lamps of the seven Churches of Asia, and not by the lamps of the Monasteries, had illuminated the Church Catholic during the three first centuries.”

FirstsHandsChristianFormThreeChurchNumbersChristianityGreaterCenturyCatholicSevenSincereFourthSuperstitionsAsiaLampsGodlinessAffinityChristian ChurchHeathenMonasteries
Book:Observations
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“Specialness as a primary mode of death transcendence takes a number of other maladaptive forms. The drive for power is not uncommonly motivated by this dynamic. One's own fear and sense of limitation is avoided by enlarging oneself and one's sphere of control. There is some evidence, for example, that those who enter the death-related professions (soldiers, doctors, priests, and morticians) may in part be motivated by a need to obtain control over death anxiety.”

NeedsMayFormNumbersExampleAnxietyEvidenceDoctorsSoldierOneselfProfessionPrimariesLimitationRelatedPriestsMotivatedSpheresTranscendenceAvoidedSpecialnessMorticians
Author:Irvin D. Yalom
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“To sum up: numbers appear to represent both an attribute of matter and the unconscious foundation of our mental process. For this reason, number forms, according to Jung, that particular element that unites the realms of matter and psyche. It is "real" in a double sense, as an archetypal image and as a qualitative manifestation in the realm of outer-world experience.”

WorldRealMatterReasonFormProcessNumbersParticularElementsFoundationManifestationRealmsUnconsciousAttributesOuter WorldsJungQualitative
Book:Number and Time
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“The genius of the corporation as a business form, and the reason for its remarkable rise over the last three centuries , was - and is - its capacity to combine the capital, and thus the economic power, of unlimited numbers of people.”

PeopleReasonLastsFormThreeNumbersEconomicCenturyGeniusCapacityCorporationsRemarkableUnlimitedEconomic Power
Book:The Corporation: The Pathological Pursuit of Profit and Power
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“Every age manifests itself by some external evidence. In a period such as ours when only a comparatively few individuals seem to be given to religion, some form other than the Gothic cathedral must be found. Industry concerns the greatest numbers-it may be true, as has been said, that our factories are our substitute for religious expression.”

MayHas BeensSaidSeemsAgeFormFoundIndividualGivenReligiousNumbersExpressionIndustryPeriodsEvidenceConcernBeing TrueSubstitutesFactoriesGothicCathedrals
Book:Charles Sheeler: across media
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“Had there been any existent vital and energetic institution left in Society after the Reformation for the use of small property in coordinated form-that is, in combination, so that the average man's holding could be put to useful purpose in company with the holdings of a great number of other men of his own sort, the new evils would not have arisen.”

MenUseWisdomFormPurposeEvilPoliticsLeftNumbersCompanyEconomyInstitutionsPropertyAverageCombinationLiberalismReformationEnergeticAverage Man
Book:The Crisis Of Civilization
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“It must be a very dour and pessimistic astronomer indeed who seriously doubts that there must be countless numbers of intelligent civilizations scattered throughout the universe on other planets which are orbiting around other stars. An attitude which asserts that man is the only intelligent life form in the universe is intolerably arrogant today ... anyone who holds such an opinion today is, fortunately for those who like to see some progress in human conceptions, something of an intellectual freak equivalent to a believer in the Flat Earth Theory.”

MenHumansTodayEarthFormUniverseStarsNumbersAttitudeOpinionDoubtProgressPlanetsTheoryCivilizationIntellectualIntelligentBelieverFlatsConceptionFreakArrogantPessimisticAstronomersIntelligent Life
Author:Robert K. G. Temple
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“One could count on one's fingers the number of scientists throughout the world with a general idea of the history and development of their particular science: there is none who is really competent as regards sciences other than his own. As science forms an indivisible whole, one may say that there are no longer, strictly speaking, scientists, but only drudges doing scientific work.”

WorldMayIdeasWholeFormScienceNumbersParticularDevelopmentScientistRegardFingersCompetentIndivisible
Book:Oppression and Liberty
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“Cameras began duplicating the world at that moment when the human landscape started to undergo a vertiginous rate of change: while an untold number of forms of biological and social life are being destroyed in a brief span of time, a device is available to record what is disappearing.”

WorldHumansMomentsFormSocialNumbersRecordsPhotographyCamerasRateAvailableDisappearDestroyedLandscapeDevicesThat MomentSocial LifeRate Of Change
Book:On photography
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“The form of government is a democracy when the free, who are also poor and the majority, govern, and an oligarchy when the rich and the noble govern, they being at the same time few in number.”

GovernmentFormPoorNumbersDemocracyRichMajorityNobleForms Of GovernmentOligarchy
Book:Aristotle's Politics: Writings from the Complete Works: Politics, Economics, Constitution of Athens
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“Because the rich are generally few in number, while the poor are many, they appear to be antagonistic, and as the one or the other prevails they form the government. Hence arises the common opinion that there are two kinds of government - democracy and oligarchy.”

KindTwoGovernmentFormPoorCommonNumbersOpinionDemocracyRichAriseOligarchy
Book:Complete Works of Aristotle, Volume 2: The Revised Oxford Translation
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“There are many occasions when the muscles that form the lips of the mouth move the lateral muscles that are joined to them, and there are an equal number of occasions when these lateral muscles move the lips of this mouth, replacing it where it cannot return of itself, because the function of muscle is to pull and not to push except in the case of the genitals and the tongue.”

MovingFormNumbersCasesReturnEqualMouthsFunctionLipsTongueOccasionsMuscles
Author:Leonardo da Vinci
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“But the nature of our civilized minds is so detached from the senses, even in the vulgar, by abstractions corresponding to all theabstract terms our languages abound in, and so refined by the art of writing, and as it were spiritualized by the use of numbers, because even the vulgar know how to count and reckon, that it is naturally beyond our power to form the vast image of this mistress called "Sympathetic Nature.”

KnowsWritingMindArtUseFormLanguageTermNumbersKnow HowSensesCivilizedVulgarAbstractionMistressSympatheticRefinedDetachedCorrespondingArt Of Writing
Author:Giambattista Vico
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“John Michell's The Dimensions of Paradise is inarguably among the most important Gnostic transmissions of recent generations. With his candid, uncomplicated style, John has made widely available the visions, the laws, and the numbers held within pure geometry and which integrate earth and sky, movement and form, cosmos and mankind.”

MadeImportantEarthFormLawNumbersVisionGenerationsSkyMankindStyleMovementPureAvailableParadiseDimensionsCosmosGeometryIntegratingTransmissionCandidEarth And SkyUncomplicated
Author:Robert Lawlor
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“Animals struggle with each other for food or for leadership, but they do not, like human beings, struggle with each other for thatthat stands for food or leadership: such things as our paper symbols of wealth (money, bonds, titles), badges of rank to wear on our clothes, or low-number license plates, supposed by some people to stand for social precedence. For animals the relationship in which one thing stands for something else does not appear to exist except in very rudimentary form.”

PeopleHumansDoeFormSocialWealthHuman BeingsAnimalNumbersStruggleOne ThingPaperClothesLowsSymbolsTitlesHumankindPlatesLicenseBadgesPrecedenceStand For SomethingLicense Plate
Author:S. I. Hayakawa
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“Upon this point all speculative politicians will agree, that the happiness of society is the end of government, as all divines and moral philosophers will agree that the happiness of the individual is the end of man. From this principle it will follow that the form of government which communicates ease, comfort, security, or, in one word, happiness, to the greatest numbers of persons, and in the greatest degree, is the best. All sober inquirers after truth, ancient and modern, pagan and Christian, have declared that the happiness of man, as well as his dignity, consists in virtue.”

MenWellsPersonsEndsGovernmentChristianFormIndividualNumbersMoralPrinciplesVirtueModernSecurityDivinePoliticianComfortDegreesDignityAgreeAncientPhilosopherCommunicateEaseSoberOne WordPaganForms Of GovernmentInquirers
Book:The Works of John Adams: Controversial papers of the Revolution (continued) Works on government
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“If there is one thing in mathematics that fascinates me more than anything else (and doubtless always has), it is neither "number" nor "size", but always form. And among the thousand-and-one faces whereby form chooses to reveal itself to us, the one that fascinates me more than any other and continues to fascinate me, is the structure hidden in mathematical things.”

IfsFacesFormNumbersOne ThingThousandMathematicsStructureSizeMathematical
Author:Alexander Grothendieck
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