Education should turn out the pupil with something he knows well and something he can do well.

From the very beginning of his education, the child should experience the joy of discovery.

It is impossible not to feel stirred at the thought of the emotions of man at certain historic moments of adventure and discovery - Columbus when he first saw the Western shore, Pizarro when he stared at the Pacific Ocean, Franklin when the electric spark came from the string of his kite, Galileo when he first turned his telescope to the heavens. Such moments are also granted to students in the abstract regions of thought, and high among them must be placed the morning when Descartes lay in bed and invented the method of co-ordinate geometry.

The study of mathematics is apt to commence in disappointment... We are told that by its aid the stars are weighed and the billions of molecules in a drop of water are counted. Yet, like the ghost of Hamlet's father, this great science eludes the efforts of our mental weapons to grasp it.

You cannot be wise without some basis of knowledge, but you may easily acquire knowledge and remain bare of wisdom.

Philosophy is the self-correction by consciousness of its own initial excess of subjectivity.

Education should turn out the pupil with something he knows well and something he can do well.