It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success, did not leave us with the proofs of the theorems he discovered. In truth, Messrs Euler and Lagrange, who have not disdained this kind of research, have proved most of these theorems, and have even substituted extensive theories for the isolated propositions of Fermat. But there are several proofs which have resisted their efforts.
Every historian loves the past or should do. If not, he has mistaken his vocation; but it is a short step from loving the past to regretting that it has ever changed. Conservatism is our greatest trade-risk; and we run psychoanalysts close in the belief that the only "normal" people are those who cause no trouble either to themselves or anybody else.
Be content with what you have Be satisfied with your dwelling place to accommodate your enterprise, Restrain your tongue, And shed tears of regret regarding past sins you committed knowingly, and those you do not recognize.
The only time you really live fully is from thirty to sixty. The young are slaves to dreams; the old servants of regrets. Only the middle-aged have all their five senses in the keeping of their wits.
There is only one thing about which I shall have no regrets when my life ends. I have savored to the full all the small, daily joys. The bright sunshine on the breakfast table; the smell of the air at dusk; the sound of the clock ticking; the light rains that start gently after midnight; the hour when the family come home; Sunday-evening tea before the fire! I have never missed one moment of beauty, not even taken it for granted. Spring, summer, autumn, or winter. I wish I had failed as little in other ways.
Unconsciously we all have a standard by which we measure other men, and if we examine closely we find that this standard is a very simple one, and is this: we admire them, we envy them, for great qualities we ourselves lack. Hero worship consists in just that. Our heroes are men who do things which we recognize, with regret, and sometimes with a secret shame, that we cannot do. We find not much in ourselves to admire, we are always privately wanting to be like somebody else. If everybody was satisfied with himself, there would be no heroes.
Why should I cumber myself with regrets that the receiver is not capacious? It never troubles the sun that some of his rays fall wide and vain into ungrateful space, and only a small part on the reflecting planet. Let your greatness educate the crude and cold companion.
Nobody is glad in the gladness of another, and our system is one of war, of an injurious superiority. Every child of the Saxon race is educated to wish to be first. It is our system; and a man comes to measure his greatness by the regrets, envies, and hatreds of his competitors.