Towards a second stage of indeterminism in science

An invited address in 1964 constitutes the pre-history of fractals, and a justification is given here why its publication is now of interest because of its interdisciplinary nature. Fractal geometry has been successful as mathematics and has - through computer graphics - pioneered a new art. But until 1975, the author's work was generally considered as premature. In the original address of 1964, which here follows the historical introduction, the author states the mathematical basis for his philosophy of the Second Stage of Indeterminism in Science. The term fractals was not coined until 11 years after the original address of 1964. © 1987 J W Arrowsmith Ltd. All Rights Reserved.