For since the fabric of the universe is most perfect and the work of a most wise Creator, … - Leonhard Euler

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There's a drive in us to express ourselves in some way or form. We pick up whatever material is available. It's primitive. Kids see sand on the beach, build something and show their parents: "Look what I did, Mama. " It's necessary to us.

Leonhard Euler

For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in the universe in which some rule of maximum or minimum does not appear.

Creator, Education, Nothing, Perfect, Wise

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Logic is the foundation of the certainty of all the knowledge we acquire.

Certainty, Foundation, Knowledge, Logic

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

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