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"The most powerful single idea in mathematics is the notion of a variable."
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I am not really doing research, just trying to cultivate myself.
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The whole of mathematics consists in the organization of a series of aids to the imagination in the process of reasoning.
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There are a number of places on marine charts where even the most weathered sailors point and say, "Right there, nothing can go wrong. Everything has to go right." One place is the turbulent passage south of Cape Horn. Another is the dead center of the Indian Ocean.
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Arithmetic starts with the integers and proceeds by successively enlarging the number system by rational and negative numbers, irrational numbers, etc... But the next quite logical step after the reals, namely the introduction of infinitesimals, has simply been omitted. I think, in coming centuries it will be considered a great oddity in the history of mathematics that the first exact theory of infinitesimals was developed 300 years after the invention of the differential calculus.
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You should not be carried away by the dictation of the mind, but the mind should be carried by your dictation.
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Attachment to the Divine leads to detachment from the mind. This leads to the realization that the nature of the Seer and the Divine are the same.
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The mind is like a river. The thoughts are like the various droplets of water. We are submerged in that water. Stay on the bank and watch your mind.
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You cannot have a good character today and at the same time have a small mind and a little heart. You cannot have a good character today and be merely a petty reformer.
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Rogue Squadron doesn’t run. Unless we really, really have to." "No, this will be Wraith Squadron’s mission." "We don’t mind running. Even when we don’t have to.
