“As parents, we can do a great deal to further this goal by helping our children develop alternative ways of knowing the world verbally/analytically and visually/spatially. During the crucial early years, parents can help to shape a child's life in such a way that words do not completely mask other kinds of reality. My most urgent suggestions to parents are concerned with the use of words, or rather, not using words.” WorldWayYearsKindChildrenHelpingUseRealityParentGoalCan DoDealsKnowingShapesConcernedOur ChildrenAlternativesMaskCrucialSuggestionsUrgentUsing Words Author:Betty Edwards
“. . . the membership relation for sets can often be replaced by the composition operation for functions. This leads to an alternative foundation for Mathematics upon categories -- specifically, on the category of all functions. Now much of Mathematics is dynamic, in that it deals with morphisms of an object into another object of the same kind. Such morphisms (like functions) form categories, and so the approach via categories fits well with the objective of organizing and understanding Mathematics. That, in truth, should be the goal of a proper philosophy of Mathematics.” ShouldWellsKindPhilosophyFormUnderstandingGoalDealsObjectsFitApproachFunctionRelationMathematicsFoundationObjectivesAlternativesOperationsCategoriesCompositionReplacedOften IsMembership Author:Saunders Mac Lane