Source: Mathematics without Apologies: Portrait of a Problematic Vocation, 2015, p. 26
“One of my conjectures was solved in six months, a second in five years, a third in ten. But the basic conjecture, despite heroic efforts rewarded by two Fields Medals, remains a conjecture, now called MLC: the Mandelbrot Set is locally connected. The notion that these conjectures might have been reached by pure thought — with no picture — is simply inconceivable.”
A Theory of Roughness (2004)
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Benoît Mandelbrot 56
Polish-born, French and American mathematician 1924–2010Related quotes
Source: 1980s-1990s, "Theory construction as disciplined imagination," 1989, p. 521; as cited in: Richard A. Swanson, Thomas J. Chermack (2013), Theory Building in Applied Disciplines, p. 49

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