A Fractal which violates the Axiom of Determinacy

Søren Riis


By use of the axiom of choice I construct a symmetrical and self-similar subset A \subseteq [0,1] \subseteq R. Then by an elementary strategy stealing argument it is shown that A is not determined. The (possible) existence of fractals like A clarifies the status of the controversial Axiom of Determinacy.

Full Text:


DOI: http://dx.doi.org/10.7146/brics.v1i24.21642
This website uses cookies to allow us to see how the site is used. The cookies cannot identify you or any content at your own computer.

ISSN: 0909-0878 

Hosted by the Royal Danish Library and Aarhus University Library