Vladimir Arnold quotes

Vladimir Arnold was a renowned Russian mathematician celebrated for his groundbreaking contributions to dynamical systems, topology, and singularity theory. His work helped shape modern mathematics and inspired generations of researchers. He made significant advances in the study of Hamiltonian dynamics and catastrophe theory. Here are 9 of his quotes:

All mathematics is divided into three parts: cryptography (paid for by CIA, KGB and the like), hydrodynamics (supported by manufacturers of atomic submarines) and celestial mechanics (financed by military and by other institutions dealing with missiles, such as NASA.). (Vladimir Arnold)
A person, who had not mastered the art of the proofs in high school, is as a rule unable to distinguish correct reasoning from that which is misleading. Such people can be easily manipulated by the irresponsible politicians. View quote
Vladimir Arnold
It is almost impossible for me to read contemporary mathematicians who, instead of saying "Petya washed his hands,” write simply: "There is a t 1. View quote
Vladimir Arnold
Such axioms, together with other unmotivated definitions, serve mathematicians mainly by making it difficult for the uninitiated to master their subject, thereby elevating its authority. View quote
Vladimir Arnold
In the last 30 years, the prestige of mathematics has declined in all countries. I think that mathematicians are partially to be blamed as well-foremost, Hilbert and Bourbaki-the ones who proclaimed that the goal of their science was investigation of all corollaries of arbitrary systems of axioms. View quote
Vladimir Arnold
At the beginning of this century a self-destructive democratic principle was advanced in mathematics (especially by Hilbert), according to which all axiom systems have equal right to be analyzed, and the value of a mathematical achievement is determined, not by its significance and usefulness as in other sciences, but by its difficulty alone, as in mountaineering. This principle quickly led mathematicians to break from physics and to separate from all other sciences. In the eyes of all normal people, they were transformed into a sinister priestly caste... Bizarre questions like Fermat's problem or problems on sums of prime numbers were elevated to supposedly central problems of mathematics. View quote
Vladimir Arnold
At the beginning of this century a self-destructive democratic principle was advanced in mathematics (especially by Hilbert), according to which all axiom systems have equal right to be analyzed, and the value of a mathematical achievement is determined, not by its significance and usefulness as in other sciences, but by its difficulty alone, as in mountaineering. View quote
Vladimir Arnold
In the middle of the twentieth century it was attempted to divide physics and mathematics. The consequences turned out to be catastrophic. View quote
Vladimir Arnold
They first began teaching their ugly scholastic pseudo-mathematics to their students, then to schoolchildren (forgetting Hardy's warning that ugly mathematics has no permanent place under the Sun). View quote
Vladimir Arnold