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"If any philosopher had been asked for a definition of infinity, he might have produced some unintelligible rigmarole, but he would certainly not have been able to give a definition that had any meaning at all."
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"Mathematicians aren't satisfied because they know there are no solutions up to four million or four billion, they really want to know that there are no solutions up to infinity."

"I owe my first inkling of the problem of infinity to a large biscuit tin that was a source of vertiginous mystery during my childhood."

"We can conceive of eternity because we cannot conceive of a cessation of time. We can conceive of infinite space because we cannot conceive of so much matter that our imagination will not stand upon the farthest star and see infinite space beyond."

"The most powerful forces in the universe are infinite. Love, imagination, intuition, stillness. Then why should we define our soul?"

"I am incapable of conceiving infinity, and yet I do not accept finity."

"What you see, but can't see over is as good as infinite."
Explore more quotes by Bertrand Russell

"A process which led from the amoeba to man appeared to the philosophers to be obviously a progress though whether the amoeba would agree with this opinion is not known."

"When a man tells you he knows the exact truth about anything, you are safe in inferring he is an inexact man."

"Boredom is a vital problem for the moralist since at least half of the sins of mankind are caused by the fear of it."

"The fact that an opinion has been widely held is no evidence whatever that it is not utterly absurd."

"For the young, there is nothing unattainable; a good thing desired with the whole force of a passionate will, and yet impossible, is to them not credible. Yet, by death, by illness, by poverty, or by the voice of duty, we must learn, each one of us, that the world was not made for us, and that, however beautiful may be the things we crave, Fate may nevertheless forbid them. It is the part of courage, when misfortune comes, to bear without regretting the ruin of our hopes, to turn away our thoughts from vain regrets. This degree of submission to power is not only just and right: it is the very gate of wisdom."

"Philosophy, from the earliest times, has made greater claims, and achieved fewer results, than any other branch of learning."
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