“A proof only becomes a proof after the social act of "accepting it as a proof".” SocialAcceptingMathematicsProof Author:IU?. I. Manin
“Science begins with the world we have to live in, accepting its data and trying to explain its laws. From there, it moves toward the imagination: it becomes a mental construct, a model of a possible way of interpreting experience. The further it goes in this direction, the more it tends to speak the language of mathematics, which is really one of the languages of the imagination, along with literature and music. Art, on the other hand, begins with the world we construct, not with the world we see. It starts with the imagination, and then works toward ordinary experience.” WorldWayTryingArtHandsMovingLawScienceLiteratureSpeakLanguageImaginationAcceptingModelsOrdinaryMathematicsDataConstructsInterpretingLiterature And Music Author:Northrop Frye
“I accept no principles of physics which are not also accepted in mathematics.” AcceptingPrinciplesMathematicsAcceptedPhysics Author:Rene Descartes
“The teacher will never be a parent. The parents are the parents. But they have to engage in some sort of active education beyond just teaching mathematics and French and English because the kids spend more time there than they do with their parents at that age. We have to accept that other adults will be part of our children's education and they will have bad teachers. That's going to happen.” ChildrenHappensKidsAgeParentAcceptingTeacherTeachingAdultsOur ChildrenMathematicsActiveMore TimeBad Teacher Author:Philippe Falardeau