A Quote by David Hilbert
Geometry is the most complete science.
Related Quotes
We have lost the art of living, and in the most important science of all, the science of daily life, the science of behavior, we are complete ignoramuses. We have psychology instead.
. . . by natural selection our mind has adapted itself to the conditions of the external world. It has adopted the geometry most advantageous to the species or, in other words, the most convenient. Geometry is not true, it is advantageous.
In fact, Gentlemen, no geometry without arithmetic, no mechanics without geometry... you cannot count upon success, if your mind is not sufficiently exercised on the forms and demonstrations of geometry, on the theories and calculations of arithmetic ... In a word, the theory of proportions is for industrial teaching, what algebra is for the most elevated mathematical teaching.
The concept of congruence in Euclidean geometry is not exactly the same as that in non-Euclidean geometry. ..."Congruent" means in Euclidean geometry the same as "determining parallelism," a meaning which it does not have in non-Euclidean geometry.
Analytical geometry has never existed. There are only people who do linear geometry badly, by taking coordinates, and they call this analytical geometry. Out with them!
Metrical geometry is thus a part of descriptive geometry, and descriptive geometry is all geometry.
Descartes constructed as noble a road of science, from the point at which he found geometry to that to which he carried it, as Newton himself did after him. ... He carried this spirit of geometry and invention into optics, which under him became a completely new art.
The purely formal language of geometry describes adequately the reality of space. We might say, in this sense, that geometry is successful magic. I should like to state a converse: is not all magic, to the extent that it is successful, geometry?
Science is the most complete presentment of facts with the least expenditure of thought
Geometry is one of the handles of science and philosophy.
Geometry is the science of correct reasoning on incorrect figures.
All one's inventions are true, you can be sure of that. Poetry is as exact a science as geometry.
There is... in our day, a powerful antidote to nonsense, which hardly existed in earlier times - I mean science. Science cannot be ignored or rejected, because it is bound up with modern technique; it is essential alike to prosperity in peace and to victory in war. That is, perhaps from an intellectual point of view, the most hopeful feature of our age, and the one which makes it most likely that we shall escape complete submersion in some new or old superstition.
He is not a true man of science who does not bring some sympathy to his studies, and expect to learn something by behavior as well as by application. It is childish to rest in the discovery of mere coincidences, or of partial and extraneous laws. The study of geometry is a petty and idle exercise of the mind, if it is applied to no larger system than the starry one. Mathematics should be mixed not only with physics but with ethics; that is mixed mathematics. The fact which interests us most is the life of the naturalist. The purest science is still biographical.
Those people who are scared of science or are a bit dismissive of science tend to not really understand what science really is, which is the most beautiful, most elegant and most creative way of looking at the world.
Geometry is the only science that it hath pleased God hitherto to bestow on mankind.
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