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.
Another sort of false prayers are our regrets. Discontent is the way of self-reliance: it is infirmity of will. Regret calamities, if you can thereby help the sufferer; if not, attend your own work, and already the evil begins to be repaired.
It was a long and gloomy night that gathered on me, haunted by the ghosts of many hopes, of many dear remembrances, many errors, many unavailing sorrows and regrets.
Listen widely to remove your doubts and be careful when speaking about the rest and your mistakes will be few. See much and get rid of what is dangerous and be careful in acting on the rest and your causes for regret will be few. Speaking without fault, acting without causing regret: 'upgrading' consists in this.
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.