Math Quotes - Page 18
Note in the appendix of "Grundlagen der Arithmetik" (Vol. 2), after Frege had received a letter of Bertrand Russell in which Russell had explained his discovery of, what is now known as, Russell's paradox, 1903.
The mathematician's patterns, like the painter's or the poet's, must be beautiful.
A Mathematician's Apology ch. 10 (1940)
Film is one of the three universal languages, the other two: mathematics and music.
Frank Capra (1971). “The Name Above the Title: An Autobiography”
Arithmetic is where numbers fly like pigeons in and out of your head.
Carl Sandburg, Frances Schoonmaker Bolin (1995). “Carl Sandburg”, p.17, Sterling Publishing Company, Inc.
"Mathematics and Metaphysicians" (1901)
The moving power of mathematical invention is not reasoning but imagination.
"The Life of Sir William Rowan Hamilton". Book by Robert Perceval Graves, Volume 3, p. 219, 1889.
William James (1987). “Essays, Comments, and Reviews”, p.356, Harvard University Press
I have hardly ever known a mathematician who was capable of reasoning.
Plato (2016). “The Complete Works of Plato (Unabridged): From the greatest Greek philosopher, known for The Republic, Symposium, Apology, Phaedrus, Laws, Crito, Phaedo, Timaeus, Meno, Euthyphro, Gorgias, Parmenides, Protagoras, Statesman and Critias”, p.1375, e-artnow (Open Publishing)
Progress imposes not only new possibilities for the future but new restrictions.
Norbert Wiener (1988). “The Human Use of Human Beings: Cybernetics and Society”, p.46, Da Capo Press
Michio Kaku (1995). “Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension”, p.130, Oxford University Press, USA
Life on the Mississippi ch. 17 (1883)
I used to say: "Everything is Representation Theory". Now I say: "Nothing is Representation Theory".
Hermann Weyl (1968). “Gesammelte Abhandlungen”
Mathematics consists in proving the most obvious thing in the least obvious way.
George Pólya (1968). “Mathematical discovery: on understanding, learning, and teaching problem solving”
G. H. Hardy (2012). “A Mathematician's Apology”, p.84, Cambridge University Press
G. H. Hardy (1992). “A Mathematician's Apology”, p.86, Cambridge University Press