A Quote by Carl Friedrich Gauss

Mathematics is concerned only with the enumeration and comparison of relations.

Carl Friedrich Gauss

Quote Topics

Comparison Concerned Mathematics Only Relations

Quote Author

Carl Friedrich Gauss
German - Mathematician
April 30, 1777 - February 23, 1855

It is almost as hard to define mathematics as it is to define economics, and one is tempted to fall back on the famous old definition attributed to Jacob Viner, "Economics is what economists do," and say that mathematics is what mathematicians do. A large part of mathematics deals with the formal relations of quantities or numbers.

Kenneth E. Boulding

Honesty is the best policy in international relations, interpersonal relations, labor, business, education, family and crime control because truth is the only thing that works and the only foundation on which lasting relations can build.

Ramsey Clark

What exactly is mathematics? Many have tried but nobody has really succeeded in defining mathematics; it is always something else. Roughly speaking, people know that it deals with numbers, figures, with relations, operations, and that its formal procedures involving axioms, proofs, lemmas, theorems have not changed since the time of Archimedes.

Stanislaw Ulam

In fact, the answer to the question "What is mathematics?" has changed several times during the course of history... It was only in the last twenty years or so that a definition of mathematics emerged on which most mathematicians agree: mathematics is the science of patterns.

Keith Devlin

Mathematics is the queen of sciences and number theory is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank.

Carl Friedrich Gauss

For everything outside the phenomenal world, language can only be used allusively, but never even approximately in a comparative way, since, corresponding as it does to the phenomenal world, it is concerned only with property and its relations.

Franz Kafka

One cannot inquire into the foundations and nature of mathematics without delving into the question of the operations by which the mathematical activity of the mind is conducted. If one failed to take that into account, then one would be left studying only the language in which mathematics is represented rather than the essence of mathematics.

L. E. J. Brouwer

Mathematics is much more than computation with pencil and a paper and getting answers to routine exercises. In fact, it can easily be argued that computation, such as doing long division, is not mathematics at all. Calculators can do the same thing and calculators can only calculate they cannot do mathematics.

John A. Van de Walle

Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.

Ivars Peterson

Mathematics is the most exact science, and its conclusions are capable of absolute proof. But this is so only because mathematics does not attempt to draw absolute conclusions. All mathematical truths are relative, conditional. In E. T. Bell Men of Mathematics, New York: Simona and Schuster, 1937.

Charles Proteus Steinmetz

Mathematics is concerned with "all possible worlds."

David Malet Armstrong

Life is good for only two things, discovering mathematics and teaching mathematics.

Simeon Denis Poisson

The only way to learn mathematics is to do mathematics. That tenet is the foundation of the do-it-yourself, Socratic, or Texas method.

Paul Halmos

I hold all knowledge that is concerned with things that actually exist - all that is commonly called Science - to be of very slight value compared to the knowledge which, like philosophy and mathematics, is concerned with ideal and eternal objects, and is freed from this miserable world which God has made.

Bertrand Russell

This is the world we live in, a world of safety and happiness and order, a world without love. A world where children crack their heads on stone fireplaces and nearly gnaw off their tongues and the parents are concerned. Not heartbroken, frantic, desperate. Concerned, as they are when you fail mathematics, as they are when they are late to pay their taxes.