Leonardo Da Vinci (1452–1519) Italian Renaissance polymath
The Notebooks of Leonardo da Vinci (1883), XIX Philosophical Maxims. Morals. Polemics and Speculations.
The Notebooks of Leonardo da Vinci (1883), I Prolegomena and General Introduction to the Book on Painting
Leonardo Da Vinci (1452–1519) Italian Renaissance polymath
The Notebooks of Leonardo da Vinci (1883), XIX Philosophical Maxims. Morals. Polemics and Speculations.
“The assumptions and definitions of mathematics and science come from our intuition”
Richard Hamming (1915–1998) American mathematician and information theorist
Methods of Mathematics Applied to Calculus, Probability, and Statistics (1985)
Context: The assumptions and definitions of mathematics and science come from our intuition, which is based ultimately on experience. They then get shaped by further experience in using them and are occasionally revised. They are not fixed for all eternity.
Eduard Jan Dijksterhuis (1892–1965) Dutch historian
Source: The mechanization of the world picture, 1961, p. 499
Sheri S. Tepper (1929–2016) American fiction writer
Elnith in Ch. 46 : nell latimer’s journal, p. 498
The Visitor (2002)
George Pólya (1887–1985) Hungarian mathematician
[Jon Fripp, Michael Fripp, Deborah Fripp, Speaking of Science: Notable Quotes on Science, Engineering, and the Environment, https://books.google.com/books?id=44ihCUS1XQMC&pg=PA45, 2000, Newnes, 978-1-878707-51-2, 45]
“Mathematics is the queen of the sciences.”
Carl Friedrich Gauss (1777–1855) German mathematician and physical scientist
As quoted in Gauss zum Gedächtniss (1856) by Wolfgang Sartorius von Waltershausen; Variants: Mathematics is the queen of sciences and number theory is the queen of mathematics. She often condescends to render service to astronomy and other natural sciences, but in all relations she is entitled to the first rank.
Mathematics is the queen of the sciences and number theory is the queen of mathematics. [Die Mathematik ist die Königin der Wissenschaften und die Zahlentheorie ist die Königin der Mathematik.]
Albert Einstein (1879–1955) German-born physicist and founder of the theory of relativity
From Lettre à Maurice Solvine, by A. Einstein (Gauthier-Villars: Paris 1956)
Attributed in posthumous publications, Albert Einstein: A guide for the perplexed (1979)
Noam Chomsky (1928) american linguist, philosopher and activist
Quotes 1990s, 1990-1994, Noam Chomsky: A Life of Dissent, 1992
Context: There is a noticeable general difference between the sciences and mathematics on the one hand, and the humanities and social sciences on the other. It's a first approximation, but one that is real. In the former, the factors of integrity tend to dominate more over the factors of ideology. It's not that scientists are more honest people. It's just that nature is a harsh taskmaster. You can lie or distort the story of the French Revolution as long as you like, and nothing will happen. Propose a false theory in chemistry, and it'll be refuted tomorrow.
“Mathematics is the key and door to the sciences.”
Galileo Galilei (1564–1642) Italian mathematician, physicist, philosopher and astronomer
As quoted in Building Fluency Through Practice and Performance (2008) by Timothy Rasinski and Lorraine Griffith, p. 64, but in fact a quotation by Roger Bacon: Et harum scientiarum porta et clavis est Mathematica, "And of these sciences the door and key is mathematics", from Bacon's Opus Majus (1267) https://books.google.co.uk/books?id=UfqcGd8NOFsC&pg=PA97&lpg=PA97&dq=%22porta+et+clavis%22+opus+majus&source=bl&ots=nGgt2Lhxqe&sig=88kIPB5EAKAKtm0APk6J5OrS1D0&hl=en&sa=X&ved=0ahUKEwiU36D2gIbLAhVBWBQKHSW9CKgQ6AEINDAE#v=onepage&q=%22porta%20et%20clavis%22%20opus%20majus&f=false. <br class="br">Attributed
“It is clear that economics, if it is to be a science at all, must be a mathematical science.”
William Stanley Jevons The Theory of Political Economy
Source: The Theory of Political Economy (1871), Chapter I, Introduction, p. 38.