“In mathematics the art of proposing a question must be held of higher value than solving it.” ArtValuesHigherMathematicsMath Author:Georg Cantor
“The essence of mathematics lies precisely in its freedom.” LyingEssenceMathematics Author:Georg Cantor
“The transfinite numbers are in a sense the new irrationalities [ ... they] stand or fall with the finite irrational numbers.” FallNumbersMathematicsIrrationalFiniteIrrationalityIrrational Numbers Author:Georg Cantor
“Mathematics, in the development of its ideas, has only to take account of the immanent reality of its concepts and has absolutely no obligation to examine their transient reality.” IdeasRealityDevelopmentConceptsAccountsMathematicsObligationTransient Author:Georg Cantor
“In mathematics, the art of asking questions is more valuable than solving problems.” ArtProblemEducationAskingMathematicsValuableMathProblem SolvingAsking Questions Author:Georg Cantor
“Mathematics is entirely free in its development, and its concepts are only linked by the necessity of being consistent, and are co-ordinated with concepts introduced previously by means of precise definitions.” MeanDevelopmentConceptsMathematicsDefinitionsMathConsistentPreciseLinked Author:Georg Cantor
“To ask the right question is harder than to answer it.” AsksAnswersHarderMathematicsMathRight Questions Author:Georg Cantor
