Taking mathematics from the beginning of the world to the time when Newton lived, what he had done was much the better half.

After exponential quantities the circular functions, sine and cosine, should be considered because they arise when imaginary quantities are involved in the exponential.

Transcendental [numbers], They transcend the power of algebraic methods.

To those who ask what the infinitely small quantity in mathematics is, we answer that it is actually zero. Hence there are not so many mysteries hidden in this concept as they are usually believed to be.

Madam, I have come from a country where people are hanged if they talk.

Now I will have less distraction.

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

For the sake of brevity, we will always represent this number 2.718281828459... by the letter e.

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

Justice is a charity in accordance with wisdom.

Nature does not make leaps.

The present is big with the future, the future might be read in the past, the distant is expressed in the near.

Every present state of a simple substance is the natural consequence of its preceding state, in such a way that its present is big with its future.

Nothing is necessitated whose opposite is possible.

Imaginary numbers are a fine and wonderful refuge of the divine spirit almost an amphibian between being and non-being.

There is nothing waste, nothing sterile, nothing dead in the universe; no chaos, no confusions, save in appearance.

Thus God alone is the primary Unity, or original simple substance, from which all monads, created and derived, are produced.

There are also two kinds of truths: truth of reasoning and truths of fact.

Indeed in general I hold that there is nothing truer than happiness, and nothing happier and sweeter than truth.