Inequality is the cause of all local movements.

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Inequality is the cause of all local movements.

No human investigation can be called real science if it cannot be demonstrated mathematically.

Mechanics is the paradise of the mathematical sciences, because by means of it one comes to the fruits of mathematics.

Notebooks, v. 1, ch. 20.

He who loves practice without theory is like the sailor who boards ship without a rudder and compass and never knows where he may cast.

Whoever despises the high wisdom of mathematics nourishes himself on delusion and will never still the sophistic sciences whose only product is an eternal uproar.

In N. Rose,
Mathematical Maxims
and Minims, Raleigh,
NC: Rome Press Inc.,
1988.

It is India that gave us the ingenious method of expressing all numbers by means of ten symbols, each symbol receiving a value of position as well as an absolute value; a profound and important idea which appears so simple to us now that we ignore its true merit. But its very simplicity and the great ease which it has lent to computations put our arithmetic in the first rank of useful inventions; and we shall appreciate the grandeur of the achievement the more when we remember that it escaped the genius of Archimedes and Apollonius, two of the greatest men produced by antiquity.

In H. Eves Return to Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1988.

[said about Napier's logarithms:]

...by shortening the labors doubled the life of the astronomer.

In H. Eves In Mathematical Circles, Boston: Prindle, Weber and Schmidt, 1969.

Napoleon: You have written this huge book on the system of the world without once mentioning the author of the universe.

Laplace: Sire, I had no need of that hypothesis.

Later when told by Napoleon about the incident, Lagrange commented: Ah, but that is a fine hypothesis. It explains so many things.

DeMorgan's Budget of Paradoxes.

Such is the advantage of a well constructed language that its simplified notation often becomes the source of profound theories.

In N. Rose Mathematical Maxims and Minims, Raleigh NC:Rome Press Inc., 1988.

Read Euler: he is our master in everything.

In G. Simmons Calculus Gems, New York: McGraw Hill Inc., 1992.