A Quote by Vladimir Arnold

Hydrodynamics procreated complex analysis, partial differential equations, Lie groups and algebra theory, cohomology theory and scientific computing.

Vladimir Arnold

Quote Topics

Algebra Analysis Complex Computing Differential Differential Equations Equations Groups Lie Partial Scientific Theory

Quote Author

Vladimir Arnold
June 12, 1937 - June 3, 2010

A theory is only as good as its assumptions. If the premises are false, the theory has no real scientific value. The only scientific criterion for judging the validity of a scientific theory is a confrontation with the data of experience.

Maurice Allais

Evidence-based reasoning underpins all scientific thinking, and it involves testing hypotheses or theories against data. Validating a theory requires replicable measurements from independent groups with different equipment and methods of analysis. Convergence of evidence is critical to the acceptance of a scientific idea.

Priyamvada Natarajan

Among all of the mathematical disciplines the theory of differential equations is the most important... It furnishes the explanation of all those elementary manifestations of nature which involve time.

Sophus Lie

When, in school, they were teaching algebra, I was studying differential equations at home.

George Gamow

We have the only cookbook in the world that has partial differential equations in it.

Nathan Myhrvold

Well, it [evolution] is a theory, it is a scientific theory only, and it has in recent years been challenged in the world of science and is not yet believed in the scientific community to be as infallible as it once was believed. But if it was going to be taught in the schools, then I think that also the biblical theory of creation, which is not a theory but the biblical story of creation, should also be taught.

Ronald Reagan

The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.

John von Neumann

The difficulty involved in the proper and adequate means of describing changes in continuous deformable bodies is the method of differential equations. ... They express mathematically the physical concept of contiguous action. Einstein's Theory of Relativity

Max Born

Knowing what is big and what is small is more important than being able to solve partial differential equations.

Stanislaw Ulam

My provocative statement is that we desperately need a serious, scientific theory of cities and scientific theory means quantifiable, relying on underlying generic principles that can be made in a - put into a predictive framework. That's the quest.

Geoffrey West

If someone points out to you that your pet theory of the universe is in disagreement with Maxwell's equations - then so much the worse for Maxwell's equations. If it is found to be contradicted by observation - well, these experimentalists do bungle things sometimes. But if your theory is found to be against the second law of thermodynamics I can give you no hope; there is nothing for it but to collapse in deepest humiliation.

Arthur Eddington

It is easy to obtain confirmations, or verifications, for nearly every theory-if we look for confirmations. Confirmations should count only if they are the result of risky predictions... A theory which is not refutable by any conceivable event is non-scientific. Irrefutability is not a virtue of a theory (as people often think) but a vice. Every genuine test of a theory is an attempt to falsify it, or refute it.

Karl Popper

For reporting a scientific finding, I was called a 'conspiracy theorist.' Only in America is scientific analysis seen as conspiracy theory and government lies as truth.