“It is self-evident that any and all paths must be open to a researcher during the actual course of his [or her] investigations.” SelfCoursesPathInvestigationEvidentResearchers Author:Karl Weierstrass
“[Mathematics] unceasingly calls forth the faculties of observation and comparison; one of its principal weapons is induction: it has frequent recourse to trial and verification; and it affords a boundless scope for the exercise of the highest efforts of imagination and invention.” ImaginationEffortExerciseWeaponsHighestMathematicsTrialsInventionObservationComparisonFacultyPrincipalScopeBoundlessRecourseVerification Author:James Joseph Sylvester
“In mathematics our role is more that of servant than master.” RolesMastersMathematicsServant Author:Charles Hermite
“Definitions must contain the means of reaching a decision in a finite number off steps, and existence proofs must be conducted so that the quantity in question can be calculated with any degree of accuracy.” MeanDecisionNumbersExistenceStepsDegreesDefinitionsProofReachingQuantityFiniteAccuracyFinite Number Author:Leopold Kronecker
“For mathematics, even to the logical forms in which it moves, is entirely dependent on the concept of natural number.” MovingFormNaturalNumbersConceptsMathematicsDependentLogical Author:Hermann Weyl
“For what I have accomplished and what I have become, I have to to thank my industry much more, my indefatigable working, rather than any outstanding talent.” TalentIndustryAccomplishedOutstanding Author:Richard Dedekind
“Without the perpetual counterfeiting of the universe by number, man could not continue to live” MenUniverseNumbersPerpetual Author:Friedrich Nietzsche
“We ought not to believe those who today, adopting a philosophical air and with a tone of superiority, prophesy the decline of culter and are content with the unknowable in a self-satisfied way. For us there is no unknowable, and in my opinion there is also non whatsoever for the natural sciences. In place of this foolish unknowable, let our watchword on the contrary be: we must know - we shall know.” KnowsWayBelieveSelfTodayNaturalOpinionAirOughtPhilosophicalContraryFoolishSatisfiedToneDeclineSuperiorityAdoptingNatural Science Author:David Hilbert
“I'm older, I'm matured... I'm looking forward to the years to come. Good years.” YearsLooking ForwardMaturedGood Years Author:Whitney Houston