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 Copy Share Image
Nothing takes place in the world whose meaning is not that of some maximum or minimum. — Leonhard Euler Copy Share Image
Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not allowed to us, nevertheless… — Leonhard Euler Copy Share Image
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 Copy Share Image
Thus you see, most noble Sir, how this type of solution to the Königsberg bridge problem bears little relationship to mathematics, and I do… — Leonhard Euler Copy Share Image
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… — Leonhard Euler Copy Share
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… — Leonhard Euler Copy Share
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… — Leonhard Euler Copy Share
Logic is the foundation of the certainty of all the knowledge we acquire. — Leonhard Euler Copy Share Image
For the sake of brevity, we will always represent this number 2.718281828459... by the letter e. — Leonhard Euler Copy Share Image
In the meantime, most noble Sir, you have assigned this question to the geometry of position, but I am ignorant as to what this… — Leonhard Euler Copy Share Image
For since the fabric of the universe is most perfect and the work of a most wise Creator, nothing at all takes place in… — Leonhard Euler Copy Share Image
Mathematicians have tried in vain to this day to discover some order in the sequence of prime numbers, and we have reason to believe… — Leonhard Euler Copy Share Image
