In One Word, To Draw The Rule

A First Fact Should Surprise Us, Or Rather Would Surprise Us If We Were Not Used To It. How Does It Happen There Are People Who Do Not Understand Mathematics? If Mathematics Invokes Only The Rules Of Logic, Such As Are Accepted By All Normal Minds...how Does It Come About That So Many Persons Are Here Refractory?

Science Is Built Up With Facts, As A House Is With Stones. But A Collection Of Facts Is No More A Science Than A Heap Of Stones Is A House.

Need We Add That Mathematicians Themselves Are Not Infallible?

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.

The Scientist Does Not Study Nature Because It Is Useful; He Studies It Because He Delights In It, And He Delights In It Because It Is Beautiful.