The study of logic becomes the central study in philosophy: it gives the method of research in philosophy, just as mathematics gives the method in physics. . . . All this supposed knowledge in the traditional systems must be swept away, and a new beginning must be made. . . . To the large and still growing body of men engaged in the pursuit of science, . . . the new method, successful already in such time-honored problems as number, infinity, continuity, space and time, should make an appeal which the older methods have wholly failed to make. The one and only condition, I believe, which is necessary in order to secure for philosophy in the near future an achievement surpassing all that has hitherto been accomplished by philosophers, is the creation of a school of men with scientific training and philosophical interests, unhampered by the traditions of the past, and not misled by the literary methods of those who copy the ancients in all except their merits.
Bertrand Russell (1872 - 1970)
Source: Our Knowledge of the External World, as a Field For Scientific Method in Philosophy
If I had the power to organize higher education as I should wish it to be, I should seek to substitute for the old orthodox religions - which appeal to few among the young, and those as a rule the least intelligent and the most obscurantist - something which is perhaps hardly to be called religion, since it is merely a focusing of attention upon well-ascertained facts. I should seek to make young people vividly aware of the past, vividly realizing that the future of man will in all likelihood be immeasurably longer than his past, profoundly conscious of the minuteness of the planet upon which we live and of the fact that life on this planet is only a temporary incident; and at the same time with these facts which tend to emphasize the insignificance of the individual, I should present quite another set of facts designed to impress upon the mind of the young the greatness of which the individual is capable, and the knowledge that throughout all the depths of stellar space nothing of equal value is known to us. . . .
I wanted certainty in the kind of way in which people want religious faith. I thought that certainty is more likely to be found in mathematics than elsewhere. But I discovered that many mathematical demonstrations, which my teachers expected me to accept, were full of fallacies, and that, if certainty were indeed discoverable in mathematics, it would be in a new field of mathematics, with more solid foundations than those that had hitherto been thought secure. But as the work proceeded, I was continually reminded of the fable about the elephant and the tortoise. having constructed an elephant upon which the mathematical world could rest, I found the elephant tottering, and proceeded to construct a tortoise to keep the elephant from falling. But the tortoise was no more secure than the elephant, and after some twenty years of very arduous toil, I came to the conclusion that there was nothing more that I could do in the way of making mathematical knowledge indubitable.
God grant that not only the love of liberty but a thorough knowledge of the rights of man may pervade all the nations of the earth, so that a philosopher may set his foot anywhere on its surface and say: "This is my country."