Alfred Tarski: Quick Facts


Facts

Also Known As Alfred Teitelbaum • Alfred Tajtelbaum
Born January 14, 1901 • Warsaw • Poland
Died October 26, 1983 (aged 82) • Berkeley • California
Subjects Of Study algebra • formal logic • proof theory

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Mandelbrot setDuring the late 20th century, Polish mathematician Benoit Mandelbrot helped popularize the fractal that bears his name. The fundamental set contains all complex numbers C such that the iterative equation Zn + 1 = Zn2 + C stays finite for all n starting with Z0 = 0. As shown here, the set of points that remain finite through all iterations is white, with darker colours showing how quickly other values diverge to infinity. The fractal edge between points that remain finite and those that diverge to infinity is extremely complicated, with self-repeating features that can be seen at all scales.
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