“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
“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
“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
“The first rule of economics is that there is an infinite number of desires chasing a finite number of goods, services and resources. The first rule of politics is to ignore the first rule of economics.” FirstsDesireNumbersResourcesEconomicsInfiniteGoodsChasingFiniteFinite Number Author:Thomas Sowell
“Life is the most precious and wondrous thing that any of us have. Along the way, one of the real miracles occurs when we realize that what really matters is to deepen our relationship to ourselves and that to do this we have to enter a spiritual journey. We have to discover anew, or for the first time, our own relationship to the Infinite. We must begin to risk trusting a whole new level of intimacy with ourselves, life and the people whose lives we touch.” PeopleWayFirstsRealMatterWholeSpiritualLife IsSpiritualityRealizingLevelsRiskJourneyFirst TimeMiracleInfiniteIntimacyOur RelationshipWondrousSpiritual Journey Author:Richard Moss
“Do not finish your work too much. An impression is not sufficiently durable for its first freshness to survive a belated search for infinite detail; in this way you let the lava grow cool.” WayFirstsGrowsToo MuchInfiniteDetailsImpressionFinishingFreshnessLavaBelated Book:Gauguin's Intimate Journals Source: Gauguin's Intimate Journals
“Two Seasons, it is said, exist- The Summer of the Just, And this of Ours, diversified With Prospect, and with Frost- May not our Second with its First So infinite compare That We but recollect the one The other to prefer?” FirstsMaySaidTwoSummerSeasonsInfiniteCompareJuneFrost Book:The Poems of Emily Dickinson Source: The Poems of Emily Dickinson
“It was precisely this notion of infinite series which in the sixth century BC led the Greek philosopher Zeno to conclude that since an arrow shot towards a target first had to cover half the distance, and then half the remainder, and then half the remainder after that, and so on ad infinitum, the result was, as I will now demonstrate, that though an arrow is always approaching its target, it never quite gets there, and Saint Sebastian died of fright.” FirstsResultsHalfCenturyShotsDiedInfiniteDistanceSeriesNotionSaintPhilosopherGreekTargetAdsNever QuitArrowsFrightGreek Philosopher Book:Jumpers Source: Jumpers
“The auspices for philosophy are bad if, when proceeding ostensibly on the investigation of truth, we start saying farewell to all uprightness, honesty and sincerity, and are intent only on passing ourselves off for what we are not. We then assume, like those three sophists [Fichte, Schelling and Hegel], first a false pathos, then an affected and lofty earnestness, then an air of infinite superiority, in order to impose where we despair of ever being able to convince.” IfsFirstsPhilosophyAbleOrderThreeAirHonestyDespairInfiniteAssumingPassingPassingsConvinceAffectedSincerityInvestigationSuperiorityFarewellLoftyProceedingPathosEarnestnessHegelSaying FarewellUprightness Author:Arthur Schopenhauer