Mathematicians Do Not Study Objects, But The

How Is Error Possible In Mathematics?

It Is Often Said That Experiments Should Be Made Without Preconceived Ideas. That Is Impossible. Not Only Would It Make Every Experiment Fruitless, But Even If We Wished To Do So, It Could Not Be Done. Every Man Has His Own Conception Of The World, And This He Cannot So Easily Lay Aside. We Must, Example, Use Language, And Our Language Is Necessarily Steeped In Preconceived Ideas. Only They Are Unconscious Preconceived Ideas, Which Are A Thousand Times The Most Dangerous Of All.

We Also Know How Cruel The Truth Often Is, And We Wonder Whether Delusion Is Not More Consoling.

Every Good Mathematician Should Also Be A Good Chess Player And Vice Versa.

Intuition Is More Important To Discovery Than Logic.