How Is Error Possible In Mathematics?

There Are No Solved Problems; There Are Only Problems That Are More Or Less Solved.

It Is A Misfortune For A Science To Be Born Too Late When The Means Of Observation Have Become Too Perfect. That Is What Is Happening At This Moment With Respect To Physical Chemistry; The Founders Are Hampered In Their General Grasp By Third And Fourth Decimal Places.

It Is Far Better To Foresee Even Without Certainty Than Not To Foresee At All.

Thought Must Never Submit, Neither To A Dogma, Nor To A Party, Nor To A Passion, Nor To An Interest, Nor To A Preconceived Idea, Nor To Whatever It May Be, Save To The Facts Themselves, Because, For Thought, Submission Would Mean Ceasing To Be.

All The Scientist Creates In A Fact Is The Language In Which He Enunciates It. If He Predicts A Fact, He Will Employ This Language, And For All Those Who Can Speak And Understand It, His Prediction Is Free From Ambiguity. Moreover, This Prediction Once Made, It Evidently Does Not Depend Upon Him Whether It Is Fulfilled Or Not.