Algebra

James Joseph Sylvester

Mathematics

1814–1897

"Number, place, and combination . . . the three intersecting but distinct spheres of thought to which all mathematical ideas admit of being referred."

🇩🇪Emmy Noether

Mathematics

1882–1935

"My methods are really methods of working and thinking; this is why they have crept in everywhere anonymously."

🇺🇸Benjamin Peirce

Mathematics

1809–1880

"Ideality is preëminently the foundation of Mathematics."

🇷🇺Yuri I. Manin

Mathematics

1937–2023

"The twentieth century return to Middle Age scholastics taught us a lot about formalisms. Probably it is time to look outside again. Meaning is what really matters."

Nikolai Ivanovich Lobachevsky

Mathematics

1792–1856

"There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world."

"It is a lucky thing that newspaper reporters do not attend these meetings. If they did, they would see how little our activities are related to the real needs of society."

William Kingdon Clifford

Philosophy

1845–1879

"I am endeavouring in a general way to explain the laws of double refraction on this hypothesis, but have not yet arrived at any results sufficiently decisive to be communicated."

George Salmon

Mathematics

1819–1904

"In early times of Christianity, even those who used animal food themselves came to think of the vegetarian as one who lived a higher life, and approached more nearly to Christian perfection."

Hermann Grassmann

Mathematics

1809–1877

"Mechanics, according to the principles of the theory of extension" An English translation of one Grassmann's papers on the applications of exterior algebra"

🇫🇷Jean Dieudonné

Mathematics

1906–1992

"A mathematician, then, will be defined in what follows as someone who has published the proof of at least one non-trivial theorem."

🇬🇧James Cameron (journalist)

Journalism

1911–1985

"That worst evil of long dictatorships: the loss of all political experience."

🇩🇪Emanuel Lasker

Mathematics

1868–1941

"Put two players against each other who both have perfect technique, who both avoid weaknesses, and what is left?—a sorry caricature of chess."

🇭🇺Paul Halmos

Mathematics

1916–2006

"The author discusses valueless measures in pointless spaces."

Augustus De Morgan

Mathematics

1806–1871

"A Budget of Paradoxes reprinted, with the author's additions from the Athenæum journal"

🇩🇪Richard Dedekind

Mathematics

1831–1916

"Essays on the Theory of Numbers Tr. Wooster Woodruff Beman"