§ 2.
Linear Associative Algebra (1882)
Context: The branches of mathematics are as various as the sciences to which they belong, and each subject of physical enquiry has its appropriate mathematics. In every form of material manifestation, there is a corresponding form of human thought, so that the human mind is as wide in its range of thought as the physical universe in which it thinks.
“Now I think hydrodynamics is to be the root of all physical science, and is at present second to none in the beauty of its mathematics.”
Source: In a letter addressed to George Stokes dated December 20, 1857, as quoted in Fluid Mechanics in the Next Century https://doi.org/10.1115/1.3101925 (1996), by Mohamed Gad-el-Hak and Mihir Sen.
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William Thomson 18
British physicist and engineer 1824–1907Related quotes
Paul Bernays, Platonism in mathematics http://sites.google.com/site/ancientaroma2/book_platonism.pdf (1935) Lecture delivered June 18, 1934, in the cycle of Conferences internationales des Sciences mathematiques organized by the University of Geneva, in the series on Mathematical Logic.) Translation by: Charles Parsons
[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]
Source: Presidential Address British Association for the Advancement of Science, Section A (1910), p. 286; Cited in: Moritz (1914, 106): Modern mathematics.
“Much of good science — and perhaps all of great science — has its roots in fantasy.”
Source: Letters to a Young Scientist (2013), chapter 5, "The Creative Process", page 69.
“I… present also examples of historic interest, examples of real mathematical beauty”
Induction and Analogy in Mathematics (1954)
Context: I... present also examples of historic interest, examples of real mathematical beauty, and examples illustrating the parallelism of the procedures in other sciences, or in everyday life.
Elements de la géométrie de l'infini (1727) as quoted by Amir R. Alexander, Geometrical Landscapes: The Voyages of Discovery and the Transformation of Mathematical Practice (2002) citing Michael S. Mahoney, "Infinitesimals and Transcendent Relations: The Mathematics of Motion in the Late Seventeenth Century" in Reappraisals of the Scientific Revolution, ed. David C. Lindberg, Robert S. Westman (1990)
Quoted by C. S. Hastings in "Biographical Memoir of Josiah Willard Gibbs 1839-1903," National Academy of Sciences Biographical Memoirs, vol. VI (Washington, D.C.: National Academy of Sciences, 1909), p. 390. Complete memoir http://books.nap.edu/html/biomems/jgibbs.pdf
Attributed
Acceptance speech, Alumni Achievement Award, Collinsville, Illinois. 2017.