Carl Friedrich Gauss quotes

Carl Friedrich Gauss was a German mathematician and physicist, often referred to as the "Prince of Mathematicians." His contributions laid the foundation for numerous fields, including number theory, astronomy, and statistics. He is celebrated for his exceptional intellect and lasting impact on science and mathematics. Here are 85 of his quotes:

We must admit with humility that, while number is purely a product of our minds, space has a reality outside our minds, so that we cannot completely prescribe its properties a priori.

Carl Friedrich Gauss

You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length.

Carl Friedrich Gauss

I mean the word proof not in the sense of the lawyers, who set two half proofs equal to a whole one, but in the sense of a mathematician, where half proof = 0, and it is demanded for proof that every doubt becomes impossible.

Carl Friedrich Gauss

There are problems to whose solution I would attach an infinitely greater importance than to those of mathematics, for example touching ethics, or our relation to God, or concerning our destiny and our future; but their solution lies wholly beyond us and completely outside the province of science.

Carl Friedrich Gauss

It may be true, that men, who are mere mathematicians, have certain specific shortcomings, but that is not the fault of mathematics, for it is equally true of every other exclusive occupation.

Carl Friedrich Gauss

To praise it would amount to praising myself. For the entire content of the work... coincides almost exactly with my own meditations which have occupied my mind for the past thirty or thirty-five years.

Carl Friedrich Gauss

The enchanting charms of this sublime science reveal themselves in all their beauty only to those who have the courage to go deeply into it.

Carl Friedrich Gauss

The study of Euler's works will remain the best school for the different fields of mathematics and nothing else can replace it.

Carl Friedrich Gauss

It is not knowledge, but the act of learning, not possession but the act of getting there, which grants the greatest enjoyment.

Carl Friedrich Gauss

Mathematics is the queen of the sciences.

Carl Friedrich Gauss

Arc, amplitude, and curvature sustain a similar relation to each other as time, motion, and velocity, or as volume, mass, and density.

Carl Friedrich Gauss

Less depends upon the choice of words than upon this, that their introduction shall be justified by pregnant theorems.

Carl Friedrich Gauss

A great part of its theories derives an additional charm from the peculiarity that important propositions, with the impress of simplicity on them, are often easily discovered by induction, and yet are of so profound a character that we cannot find the demonstrations till after many vain attempts; and even then, when we do succeed, it is often by some tedious and artificial process, while the simple methods may long remain concealed.

Carl Friedrich Gauss

I am coming more and more to the conviction that the necessity of our geometry cannot be demonstrated, at least neither by, nor for, the human intellect... Geometry should be ranked, not with arithmetic, which is purely aprioristic, but with mechanics.

Carl Friedrich Gauss

That this subject [of imaginary magnitudes] has hitherto been considered from the wrong point of view and surrounded by a mysterious obscurity, is to be attributed largely to an ill-adapted notation. If for instance, +1, -1, √-1 had been called direct, inverse, and lateral units, instead of positive, negative, and imaginary (or even impossible) such an obscurity would have been out of question.

Carl Friedrich Gauss

Dark are the paths which a higher hand allows us to traverse here... let us hold fast to the faith that a finer, more sublime solution of the enigmas of earthly life will be present, will become part of us.

Carl Friedrich Gauss

Life stands before me like an eternal spring with new and brilliant clothes.

Carl Friedrich Gauss

Mathematicians stand on each other's shoulders.

Carl Friedrich Gauss

I confess that Fermat's Theorem as an isolated proposition has very little interest for me, because I could easily lay down a multitude of such propositions, which one could neither prove nor dispose of.

Carl Friedrich Gauss

Yes! The world would be nonsense, the whole creation an absurdity without immortality.

Carl Friedrich Gauss

Finally, two days ago, I succeeded- not on account of my hard efforts, but by the grace of the Lord. Like a sudden flash of lightning, the riddle was solved. I am unable to say what was the conducting thread that connected what I previously knew with what made my success possible.

Carl Friedrich Gauss

In such apparent accidents which finally produce such a decisive influence on one s whole life, one is inclined to recognize the tools of a higher hand. The great enigma of life never becomes clear to us here below.

Carl Friedrich Gauss