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Home > Dictionary of Science Quotations > Scientist Names Index A > Vladimir Arnold Quotes

Vladimir Arnold
(12 Jun 1937 - 3 Jun 2010)

Russian mathematician who was described in an obituary as having “one of the sharpest and most imaginative minds in the business”. He was an early contributor to chaos theory and his creative singularity theory.

Science Quotes by Vladimir Arnold (3 quotes)

I read … that geometry is the art of making no mistakes in long calculations. I think that this is an underestimation of geometry. Our brain has two halves: one is responsible for the multiplication of polynomials and languages, and the other half is responsible for orientation of figures in space and all the things important in real life. Mathematics is geometry when you have to use both halves.
— Vladimir Arnold
In S.H. Lui, 'An Interview with Vladimir Arnol’d', Notices of the AMS (Apr 1997) 44, No. 4, 438. Reprinted from the Hong Kong Mathematics Society (Feb 1996).
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I think that the difference between pure and applied mathematics is social rather than scientific. A pure mathematician is paid for making mathematical discoveries. An applied mathematician is paid for the solution of given problems.
When Columbus set sail, he was like an applied mathematician, paid for the search of the solution of a concrete problem: find a way to India. His discovery of the New World was similar to the work of a pure mathematician.
— Vladimir Arnold
In S.H. Lui, 'An Interview with Vladimir Arnol’d', Notices of the AMS (Apr 1997) 44, No. 4, 438. Reprinted from the Hong Kong Mathematics Society (Feb 1996).
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Mathematics is the part of physics where experiments are cheap.
— Vladimir Arnold
From an address (7 Mar 1997) at the discussion on 'Teaching of Mathematics' in Palais de Dιcouverte, Paris. Quoted in Mathematical Understanding of Nature: Essays on Amazing Physical Phenomena and Their Understanding by Mathematicians (2014), Foreword, x.
Science quotes on:  |  Cheap (11)  |  Experiment (696)  |  Mathematics (1333)  |  Part (222)  |  Physic (516)  |  Physics (533)


Carl Sagan Thumbnail In science it often happens that scientists say, 'You know that's a really good argument; my position is mistaken,' and then they would actually change their minds and you never hear that old view from them again. They really do it. It doesn't happen as often as it should, because scientists are human and change is sometimes painful. But it happens every day. I cannot recall the last time something like that happened in politics or religion. (1987) -- Carl Sagan
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