Where there is matter, there is geometry.
Johannes KeplerRead
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283 quotes
Where there is matter, there is geometry.
No employment can be managed without arithmetic, no mechanical invention without geometry.
There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world.
Many who have never had an opportunity of knowing any more about mathematics confound it with arithmetic, and consider it an arid science. In reality, however, it is a science which requires a great amount of imagination.
A lack of seriousness has led to all sorts of wonderful insights.
The Christian's God does not merely consist of a God who is the Author of mathematical truths and the order of the elements. The God of Abraham, the God of Isaac, the God of Jacob, the God of the Christians, is a God of love and consolation.
A mind is accustomed to mathematical deduction, when confronted with the faulty foundations of astrology, resists a long, long time, like an obstinate mule, until compelled by beating and curses to put its foot into that dirty puddle.
You know that I write slowly. This is chiefly because I am never satisfied until I have said as much as possible in a few words, and writing briefly takes far more time than writing at length.
Pure mathematics is on the whole distinctly more useful than applied... For what is useful above all is technique, and mathematical technique is taught mainly through pure mathematics.
Only mathematics and mathematical logic can say as little as the physicist means to say.
Mathematics may be compared to a mill of exquisite workmanship, which grinds you stuff of any degree of fineness; but, nevertheless, what you get out depends upon what you put in; and as the grandest mill in the world will not extract wheat-flour from peascods, so pages of formulae will not get a definite result out of loose data.
Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.
Mathematics is the science which draws necessary conclusions.
In [great mathematics] there is a very high degree of unexpectedness, combined with inevitability and economy.
I am interested in mathematics only as a creative art.
How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality?
I also ask you my friends not to condemn me entirely to the mill of mathematical calculations, and allow me time for philosophical speculations, my only pleasures.
As history proves abundantly, mathematical achievement, whatever its intrinsic worth, is the most enduring of all.
You may object that by speaking of simplicity and beauty I am introducing aesthetic criteria of truth, and I frankly admit that I am strongly attracted by the simplicity and beauty of mathematical schemes which nature presents us. You must have felt this too: the almost frightening simplicity and wholeness of the relationship, which nature suddenly spreads out before us.
The mere man of pleasure is miserable in old age, and the mere drudge in business is but little better, whereas, natural philosophy, mathematical and mechanical science, are a continual source of tranquil pleasure, and in spite of the gloomy dogmas of priests and of superstition, the study of these things is the true theology; it teaches man to know and admire the Creator, for the principles of science are in the creation, and are unchangeable and of divine origin.
The life and soul of science is its practical application, and just as the great advances in mathematics have been made through the desire of discovering the solution of problems which were of a highly practical kind in mathematical science, so in physical science many of the greatest advances that have been made from the beginning of the world to the present time have been made in the earnest desire to turn the knowledge of the properties of matter to some purpose useful to mankind.
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