Quotessence
Home / Authors / Saunders Mac Lane Biography
Saunders Mac Lane

Saunders Mac Lane Biography

Mathematician

Related Quotes

“. . . 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
Create image