![A non-mathematical presentation has necessary limitations; and the reader who wishes to learn how certain exact results follow from Einstein's, or even Newton's, law of gravitation is bound to seek the reasons in a mathematical treatise. ...[T]he geometry of relativity in its perfect harmony expresses a truth... which my bowdlerised version misses.
But the mind is not content to leave scientific Truth in a dry husk of mathematical symbols, and demands that it shall be alloyed with familiar images. (Arthur Eddington)](https://cdn.quotesdtb.com/img/quotes_images_webp/44/arthur-eddington-bound-certain-393644.webp)
A non-mathematical presentation has necessary limitations; and the reader who wishes to learn how certain exact results follow from Einstein's, or even Newton's, law of gravitation is bound to seek the reasons in a mathematical treatise. ...[T]he geometry of relativity in its perfect harmony expresses a truth... which my bowdlerised version misses. But the mind is not content to leave scientific Truth in a dry husk of mathematical symbols, and demands that it shall be alloyed with familiar images.
Arthur EddingtonRelated topics
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There is (gentle reader) nothing (the works of God only set apart) which so much beautifies and adorns the soul and mind of man as does knowledge of the good arts and sciences. Many arts there are which beautify the mind of man; but of all none do more garnish and beautify it than those arts which are called mathematical, unto the knowledge of which no man can attain, without perfect knowledge and instruction of the principles, grounds, and Elements of Geometry.
John Dee
The soul, being a harmony, can never utter a note at variance with the tensions and relaxations and vibrations and other affections of the strings out of which she is composed; she can only follow, she cannot lead them? ...And yet do we not now discover the soul to be doing the exact opposite-leading the elements of which she is believed to be composed; almost always opposing and coercing them in all sorts of ways throughout life... threatening and reprimanding the desires, passions, fears, as if talking to a thing which is not herself...
Socrates
I shall now address you on the subject of the present situation in research in the foundations of mathematics. Since there remain open questions in this field, I am not in a position to paint a definitive picture of it for you. But it must be pointed out that the situation is not so critical as one could think from listening to those who speak of a foundational crisis. From certain points of view, this expression can be justified; but it could give rise to the opinion that mathematical science is shaken at its roots.
Paul Bernays
The analytical geometry of Descartes and the calculus of Newton and Leibniz have expanded into the marvelous mathematical method-more daring than anything that the history of philosophy records-of Lobachevsky and Riemann, Gauss and Sylvester. Indeed, mathematics, the indispensable tool of the sciences, defying the senses to follow its splendid flights, is demonstrating today, as it never has been demonstrated before, the supremacy of the pure reason.
Nicholas Murray Butler
"The sovereignty of the States" is the language of the Confederacy, and not the language of the Constitution. The latter contains the emphatic words - This Constitution and the laws of the United States which shall be made in pursuance thereof, and all treaties made or which shall be made under the authority of the United States, shall be the supreme law of the land, and the judges in every State shall be bound thereby, anything in the constitution or laws of any State to the contrary notwithstanding.
Andrew Johnson
