“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
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Benoît Mandelbrot 56
Polish-born, French and American mathematician 1924–2010Related quotes

Source: The Other Side Of The Coin (2008), Chapter 7, Straight Versus Crooked, p. 229

A Theory of Roughness (2004)

“Mathematics… is the set of all possible self-consistent structures”
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.

Source: posthumous quotes, Braque', (1968), p. 55

"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.

2022, February 2022
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

Fall 1943
Diary entries (1914 - 1974)
Source: Journals Of Anais Nin Volume 3