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The songs that I've written about Africa, and AIDS and HIV and about the power of humanitarian love, those songs, I'm gonna sing them because I know that it's real.

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Leonhard Euler

Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe that it is a mystery into which the human mind will never penetrate.

Believe, Math, Mystery, Numbers, Sequence
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Logic is the foundation of the certainty of all the knowledge we acquire.

Certainty, Foundation, Knowledge, Logic

For the sake of brevity, we will always represent this number 2. 718281828459. . . by the letter e.

718281828459, Letter, Letters, Number 2, Numbers, Represent

Nothing takes place in the world whose meaning is not that of some maximum or minimum.

Maximum, Minimum, Nothing, Place, World

The kind of knowledge which is supported only by observations and is not yet proved must be carefully distinguished from the truth; it is gained by induction, as we usually say. Yet we have seen cases in which mere induction led to error. Therefore, we should take great care not to accept as true such properties of the numbers which we have discovered by observation and which are supported by induction alone. Indeed, we should use such a discovery as an opportunity to investigate more exactly the properties discovered and to prove or disprove them; in both cases we may learn something useful.

Education, Induction, Math, Opportunity, Take, Useful

I soon found an opportunity to be introduced to a famous professor Johann Bernoulli. . . . True, he was very busy and so refused flatly to give me private lessons; but he gave me much more valuable advice to start reading more difficult mathematical books on my own and to study them as diligently as I could; if I came across some obstacle or difficulty, I was given permission to visit him freely every Sunday afternoon and he kindly explained to me everything I could not understand.

Book, Education, Introduced, Johann, Reading, Valuable
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