Science is at no moment quite right, but it is seldom quite wrong, and has, as a rule, a better chance of being right than the theories of the unscientific. It is, therefore, rational to accept it hypothetically.

Punctuality is a quality the need of which is bound up with social co-operation. It has nothing to do with the relation of the soul to God, or with mystic insight, or with any of the matters with which the more elevated and spiritual moralists are concerned.

Without effort and change, human life cannot remain good. It is not a finished Utopia that we ought to desire, but a world where imagination and hope are alive and active.

My own belief is that in most ages and in most places obscure psychological forces led men to adopt systems involving quite unnecessary cruelty, and that this is still the case among the most civilized races at the present day.

When anaesthetics were invented they were thought to be wicked as being an attempt to thwart God's will. Insanity was thought to be due to diabolic possession, and it was believed that demons inhabiting a madman could be driven out by inflicting pain upon him, and so making them uncomfortable. In pursuit of this opinion, lunatics were treated for years on end with systematic and conscientious brutality.

Of these austerer virtues the love of truth is the chief, and in mathematics, more than elsewhere, the love of truth may find encouragement for waning faith. Every great study is not only an end in itself, but also a means of creating and sustaining a lofty habit of mind; and this purpose should be kept always in view throughout the teaching and learning of mathematics.

From India to Spain, the brilliant civilization of Islam flourished. What was lost to christendom at this time was not lost to civilization, but quite the contrary.