“The rules of logic are to mathematics what those of structure are to architecture.”
Bertrand Russell (1872–1970) logician, one of the first analytic philosophers and political activist
1900s, "The Study of Mathematics" (November 1907)
“Mathematical magic combines the beauty of mathematical structure with the entertainment value of a trick.”
Mathematics, Magic, and Mystery https://books.google.com/books?id=-kOFBQAAQBAJ&pg=PR11#v=onepage&q=%22Mathematical%20magic%20combines%22%23v%3Dsnippet&f=false (1956), p. ix
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Martin Gardner16
recreational mathematician and philosopher 1914–2010Related quotes
“Mathematics… is the set of all possible self-consistent structures”
Michio Kaku book Hyperspace
Source: Hyperspace (1995), Ch.15 Conclusion<!--p.328-->
Context: Mathematics... is the set of all possible self-consistent structures, and there are vastly more logical structures than physical principles.
George Dantzig (1914–2005) American mathematician
Source: Linear programming and extensions (1963), p. 2
“God used beautiful mathematics in creating the world.”
Paul Dirac (1902–1984) theoretical physicist
As quoted in The Cosmic Code : Quantum Physics As The Language Of Nature (1982) by Heinz R. Pagels, p. 295; also in Paul Adrien Maurice Dirac : Reminiscences about a Great Physicist (1990) edited by Behram N. Kursunoglu and Eugene Paul Wigner, p. xv
Graham Sutton (1903–1977) Welsh scientist
Mathematics in Action (1954) page 3
“Mathematics rightly viewed possesses not only truth but supreme beauty.”
Bertrand Russell (1872–1970) logician, one of the first analytic philosophers and political activist
1900s, "The Study of Mathematics" (November 1907)
Context: Mathematics, rightly viewed, possesses not only truth, but supreme beauty – a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of highest excellence, is to be found in mathematics as surely as in poetry. What is best in mathematics deserves not merely to be learnt as a task, but to be assimilated as a part of daily thought, and brought again and again before the mind with ever-renewed encouragement.
“The beauty of mathematics only shows itself to more patient followers.”
Maryam Mirzakhani (1977–2017) Iranian mathematician
Source: http://www.theguardian.com/science/2014/aug/13/interview-maryam-mirzakhani-fields-medal-winner-mathematician
“If nature leads us to mathematical forms of great simplicity and beauty”
Werner Heisenberg (1901–1976) German theoretical physicist
Conversation with Einstein, as quoted in Bittersweet Destiny: The Stormy Evolution of Human Behavior by Del Thiessen
Context: If nature leads us to mathematical forms of great simplicity and beauty—by forms I am referring to coherent systems of hypothesis, axioms, etc.—to forms that no one has previously encountered, we cannot help thinking that they are "true," that they reveal a genuine feature of nature... You must have felt this too: The almost frightening simplicity and wholeness of relationships which nature suddenly spreads out before us and for which none of us was in the least prepared.
Thomas Little Heath (1861–1940) British civil servant and academic
Preface p. v
A History of Greek Mathematics (1921) Vol. 1. From Thales to Euclid