A Quote by Gottlob Frege

What are numbers? What is the nature of arithmetical truth?

Gottlob Frege

Quote Topics

Nature Numbers Truth

Quote Author

Gottlob Frege
German - Mathematician
November 8, 1848 - July 26, 1925

Population, when unchecked, increases in a geometrical ratio. Subsistence increases only in an arithmetical ratio. A slight acquaintance with numbers will shew the immensity of the first power in comparison of the second.

Thomas Malthus

The truth... When they have a similar structure to and are organized in as truthful a way as nature. When I look out of the window, then truth for me is the way nature shows itself in its various tones, colours and proportions. That's a truth and has its own correctness. This little slice of nature, and in fact any given piece of nature, represents to me an ongoing challenge, and is a model for my paintings.

Gerhard Richter

Any one who considers arithmetical methods of producing random digits is, of course, in a state of sin. For, as has been pointed out several times, there is no such thing as a random number - there are only methods to produce random numbers, and a strict arithmetic procedure of course is not such a method.

John von Neumann

We all have our essential nature. If you're good with numbers, you don't even know you're good with numbers because that's how your mind works.

Zoe Kazan

All the mathematical sciences are founded on relations between physical laws and laws of numbers, so that the aim of exact science is to reduce the problems of nature to the determination of quantities by operations with numbers.

James C. Maxwell

The forest is peaceful, why aren’t you? You hold on to things causing your confusion. Let nature teach you. Hear the bird’s song then let go. If you know nature, you’ll know truth. If you know truth, you’ll know nature.

Ajahn Chah

Too much knowledge could be a bad thing. I was lead to the Szemerédi theorem by proving a result, about squares, that Euler had already proven, and I relied on an "obvious" fact, about arithmetical progressions, that was unproved at the time. But that lead me to try and prove that formerly unproved statement- about arithmetical progressions-and that ultimately lead to the Szemerédi Theorem.

Endre Szemeredi

This is a collaboration between a complex analyst, a dynamical system expert, and an arithmetical algebraic geometer. It sounds like a joke, a complex analyst, a dynamical system expert, and an arithmetical algebraic geometer walk into a bar.

Jordan Ellenberg

I then began to study arithmetical questions without any great apparent result, and without suspecting that they could have the least connexion with my previous researches. Disgusted at my want of success, I went away to spend a few days at the seaside, and thought of entirely different things. One day, as I was walking on the cliff, the idea came to me, again with the same characteristics of conciseness, suddenness, and immediate certainty, that arithmetical transformations of indefinite ternary quadratic forms are identical with those of non-Euclidian geometry.

Henri Poincare

In whatever adulation you get, there's truth and there's not truth. And wherever they dog you, and they say it was horrible - there's truth and there's not truth. It's human nature to like to read the adulation more.

Matthew McConaughey

When the aggregate amount of solid matter transported by rivers in a given number of centuries from a large continent, shall be reduced to arithmetical computation, the result will appear most astonishing to those...not in the habit of reflecting how many of the mightiest of operations in nature are effected insensibly, without noise or disorder.

Charles Lyell

For us, mind has nature for its premise, being nature's truth and for that reason its absolute prius. In this truth nature has vanished, and mind has resulted as the idea arrived at being-for-itself, the object of which, as well as the subject, is the concept. This identity is absolute negativity, for whereas in nature the concept has its perfect external objectivity, this its alienation has been superseded, and in this alienation the concept has become identical with itself. But it is this identity therefore, only in being a return out of nature.

Georg Wilhelm Friedrich Hegel

The seventeenth century witnessed the birth of modern science as we know it today. This science was something new, based on a direct confrontation of nature by experiment and observation. But there was another feature of the new science-a dependence on numbers, on real numbers of actual experience.