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

Without deductive logic science would be entirely useless. It is merely a barren game to ascend from the particular to the general, unless afterwards we can reverse the process and descend from the general to the particular, ascending and descending like angels on Jacob's ladder.

Our reasonings grasp at straws for premises and float on gossamers for deductions.

There is a technique, a knack, for thinking, just as there is for doing other things. You are not wholly at the mercy of your thoughts, any more than they are you. They are a machine you can learn to operate.

It does not matter what men say in words, so long as their activities are controlled by settled instincts. The words may ultimately destroy the instincts; but until this has occurred, words do not count.

The point about zero is that we do not need to use it in the operation of daily life. No one goes out to buy zero fish.

It is the business of the future to be dangerous; and it is among the merits of science that it equips the future for its duties.