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.
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p. 53Bertrand Russell
» Bertrand Russell - all quotes »
It is said (I do not know with what truth) that a certain Hindu thinker believed the earth to rest upon an elephant. When asked what the elephant rested upon, he replied that it rested upon a tortoise. When asked what the tortoise rested upon, he said, "I am tired of this. Suppose we change the subject." This illustrates the unsatisfactory character of the First-Cause argument.
Bertrand Russell
If everything must have a cause, then God must have a cause. If there can be anything without a cause, it may just as well be the world as God, so that there cannot be any validity in that argument. It is exactly of the same nature as the Hindu's view, that the world rested upon an elephant and the elephant rested upon a tortoise; and when they said, "How about the tortoise?" the Indian said, "Suppose we change the subject." The argument is really no better than that.
Bertrand Russell
They’ve heard about space but they still don’t believe in it. They haven’t been out here to see for themselves that there isn’t any giant elephant under the earth, holding it up, and a giant tortoise holding up the elephant. If I say “planet” and “spaceship” to them, they still think “horoscope” and “flying saucer”.
Fritz Leiber
Necessary truth is merely the subject-matter of mathematics, not the reward we get for doing mathematics. The object of mathematics is not, and cannot be, mathematical certainty. It is not even mathematical truth, certain or otherwise. It is, and must be, mathematical explanation.
David Deutsch
Four blind men went to see an elephant. One touched the leg of the elephant, and said, "The elephant is like a pillar." The second touched the trunk, and said, "The elephant is like a thick stick or club." The third touched the belly, and said, "The elephant is like a big jar." The fourth touched the ears, and said, "The elephant is like a winnowing basket." Thus they began to dispute amongst themselves as to the figure of the elephant. A passer-by seeing them thus quarrelling, said, "What is it that you are disputing about?" They told him everything, and asked him to arbitrate. That man said, "None of you has seen the elephant. The elephant is not like a pillar, its legs are like pillars. It is not like a big water-vessel, its belly is like a water-vessel. It is not like a winnowing basket, its ears are like winnowing baskets. It is not like a thick stick or club, but its proboscis is like that. The elephant is the combination of all these." In the same manner those quarrel who have seen one aspect only of the Deity.
Ramakrishna
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