Johannes Kepler Quotes

The book of nature is written in the language of mathematics.

Speaking of ways, pet, by the way, there is such a thing as a tesseract.

Geometry is the foundation of all painting.

Math is sometimes called the science of patterns.

The abstract analysis of the world by mathematics and physics rests on the concepts of space and time.

Algebras deal not with laws of number, but with such laws of the human thinking machinery as have been discovered in the course of investigations on numbers. Plane geometry deals with such laws of thought as were discovered by men intent on finding out how to measure surface; and solid geometry with such additional laws of thought as were discovered when men began to extend geometry into three dimensions.

The ludicrous state of solid geometry made me pass over this branch.

I regret that it has been necessary for me in this lecture to administer a large dose of four-dimensional geometry. I do not apologize, because I am really not responsible for the fact that nature in its most fundamental aspect is four-dimensional. Things are what they are.

The science [geometry] is pursued for the sake of the knowledge of what eternally exists, and not of what comes for a moment into existence, and then perishes.

Euclid Alone Has Looked on Beauty Bare.

Geometry is the only science that it hath pleased God hitherto to bestow on mankind.

As a child it was clear to me that in some sense math was in the world around us. I became fascinated by what this means. When you look at the shape of the sun and the moon, they're circles, so every time you see a circular thing, there's pi embedded in it.

I spent half my life, roughly speaking, doing the study of nature in many aspects and half of my life studying completely artificial shapes. And the two are extraordinarily close; in one way both are fractal.

There are no sects in geometry.

It seems to be one of the fundamental features of nature that fundamental physical laws are described in terms of a mathematical theory of great beauty and power, needing quite a high standard of mathematics for one to understand it.

What is mathematics? It is only a systematic effort of solving puzzles posed by nature.

When I do the dodecahedron with the science audiences, I'll point out that I can only do three of the five forms with bubbles, since bubbles only join at three-way corners. The two I can't do are the ones that represent water and air. That always gets a big laugh from the mathematicians. They see the irony in it.

I use trigonometry all the time.

I love physics.

I think maths is the root of everything. If we understood every area of math, it would lead to improving our sense of science, physics, engineering, space travel... all those great things. Maths is a backbone for it.

A pool at the edge of the ocean is the simplest geometry, yet you feel connected to the sea. In a forest with the mountains in the background, you also feel the connection to nature, yet it's a very complex geometry. I think architecture is about controlling these feelings.

I think I still like science and art better, but geometry is a big improvement over algebra.

The world of shapes, lines, curves, and solids is as varied as the world of numbers, and it is only our long-satisfied possession of Euclidean geometry that offers us the impression, or the illusion, that it has, that world, already been encompassed in a manageable intellectual structure. The lineaments of that structure are well known: as in the rest of life, something is given and something is gotten; but the logic behind those lineaments is apt to pass unnoticed, and it is the logic that controls the system.

The arithmetical symbols are written diagrams and the geometrical figures are graphic formulas.

Galileo wrote that 'the book of nature is written in the language of mathematics; without its help it is impossible to comprehend a single word of it.'