“[The] humanization of mathematical teaching, the bringing of the matter and the spirit of mathematics to bear not merely upon certain fragmentary faculties of the mind, but upon the whole mind, that this is the greatest desideratum is. I assume, beyond dispute.” MindMatterWholeScienceSpiritCertainTeachingBearsMathematicsAssumingMathematicalFacultyDisputes Author:Cassius Jackson Keyser
“The validity of mathematical propositions is independent of the actual world-the world of existing subject-matters-is logically prior to it, and would remain unaffected were it to vanish from being. Mathematical propositions, if true, are eternal verities.” IfsWorldMatterSubjectsEternalLogicMathematicsIndependentMathematicalPropositionsSubject MatterValidity Book:The pastures of wonder: the realm of mathematics and the realm of science Source: The pastures of wonder: the realm of mathematics and the realm of science
“Mathematics is, in many ways, the most precious response that the human spirit has made to the call of the infinite.” WayHumansMadeSpiritInfiniteMathematicsResponseMathematicalHuman Spirit Author:Cassius Jackson Keyser