Leonhard Quotes & Sayings

'Castle' is a guy living in a fantasy world. He's in his imagination, writing these stories of murder. — Nathan Fillion

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. — Leonhard Euler

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

The coming wave of automation will move way beyond the factory or public infrastructure and into our very biological processes such as aging and even giving birth. Used as we are to the gradual societal shifts brought about by previous change waves, often allowing decades to adjust and respond, I ask if we as a tribe are ready to abdicate our human sovereignty to the faceless forces of technology? Are you ready for the biggest loss of free will and individual human control in history? — Gerd Leonhard

Logic is the foundation of the certainty of all the knowledge we acquire. — Leonhard Euler

Read Euler, read Euler, he is the master of us all. — Pierre-Simon Laplace

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 ... — Leonhard Euler

If a nonnegative quantity was so small that it is smaller than any given one, then it certainly could not be anything but zero. 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. These supposed mysteries have rendered the calculus of the infinitely small quite suspect to many people. Those doubts that remain we shall thoroughly remove in the following pages, where we shall explain this calculus. — Leonhard Euler

No matter what genre of music you play when you rack up a couple years of experience, you have your own point of view no matter who it is that is coming in front of you whether it's a pop artist or a country artist. Whoever. — Harry Connick Jr.

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. — 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. — Leonhard Euler

The capitalist shark breathes oil, but the ocean in which it swims is drying up. — Steve Hallett

It is a matter for considerable regret that Fermat, who cultivated the theory of numbers with so much success, did not leave us with the proofs of the theorems he discovered. In truth, Messrs Euler and Lagrange, who have not disdained this kind of research, have proved most of these theorems, and have even substituted extensive theories for the isolated propositions of Fermat. But there are several proofs which have resisted their efforts. — Adrien-Marie Legendre

Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not allowed to us, nevertheless it can happen that a certain fictive hypothesis may suffice for explaining many phenomena. — Leonhard Euler

Notable enough, however, are the controversies over the series 1 - 1 + 1 - 1 + 1 - ... whose sum was given by Leibniz as 1/2, although others disagree ... Understanding of this question is to be sought in the word "sum"; this idea, if thus conceived - namely, the sum of a series is said to be that quantity to which it is brought closer as more terms of the series are taken - has relevance only for convergent series, and we should in general give up the idea of sum for divergent series. — Leonhard Euler

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

A very good drink they call Chaube that is almost as black as ink and very good in illness, especially of the stomach. This they drink in the morning early in the open places before everybody, without any fear or regard, out of clay or China cups, as hot as they can, sipping it a little at a time. — Leonhard Rauwolf

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

In the meantime, most noble Sir, you have assigned this question to the geometry of position, but I am ignorant as to what this new discipline involves, and as to which types of problem Leibniz and Wolff expected to see expressed in this way. — Leonhard Euler

You should probably stay away from me," I say, resting my head on my knees. "I'm a mess. — Trish Doller

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. — Leonhard Euler

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 ... there is absolutely no doubt that every affect in the universe can be explained satisfactorily from final causes, by the aid of the method of maxima and minima, as it can be from the effective causes themselves ... Of course, when the effective causes are too obscure, but the final causes are readily ascertained, the problem is commonly solved by the indirect method ... — Leonhard Euler

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

Now I will have less distraction. — Leonhard Euler

A function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities. — Leonhard Euler

I maintain that in every position that arises, we should deliberately search, among other things, for pieces which have no retreat. If we see one, we automatically look to see if it can be netted. — Cecil Purdy

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