“A fractal is a mathematical set or concrete object that is irregular or fragmented at all scales…”
As quoted in a review of The Fractal Geometry of Nature by J. W. Cannon in The American Mathematical Monthly, Vol. 91, No. 9 (November 1984), p. 594
Help us to complete the source, original and additional information
Benoît Mandelbrot56
Polish-born, French and American mathematician 1924–2010Related quotes
David Orrell (1962) Canadian mathematician
Source: The Other Side Of The Coin (2008), Chapter 7, Straight Versus Crooked, p. 229
James Grier Miller (1916–2002) biologist
Source: Living systems, 1978, p. 41
Benoît Mandelbrot (1924–2010) Polish-born, French and American mathematician
A Theory of Roughness (2004)
“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.
Georges Braque (1882–1963) French painter and sculptor
Source: posthumous quotes, Braque', (1968), p. 55
Hilary Putnam (1926–2016) American philosopher
"Mathematics without foundations"
Source: Philosophical Papers Volume 1: Mathematics, Matter, and Method (1975, 1979)
Context: (If we identify sets with the points that represent them in the various possible concrete structures, we might say: it is not possible for all possible sets to exist in any one world!) Yet set theory does not become impossible. Rather, set theory becomes the study of what must hold in, e.g. any standard model for Zermelo set theory.
Donald J. Trump (1946) 45th President of the United States of America
2022, February 2022 <br class="br">Source: 4 February 2022 per 7 February 2022 report by Reuters Pence says Trump was wrong that he could have overturned 2020 election https://www.reuters.com/world/us/pence-says-trump-was-wrong-that-he-could-have-overturned-2020-election-result-2022-02-04/ by Alexandra Ulmer
Anaïs Nin (1903–1977) writer of novels, short stories, and erotica
Fall 1943
Diary entries (1914 - 1974)
Source: Journals Of Anais Nin Volume 3