A Fractal which violates the Axiom of Determinacy

Forfattere

  • Søren Riis

DOI:

https://doi.org/10.7146/brics.v1i24.21642

Resumé

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.

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Publiceret

1994-08-03

Citation/Eksport

Riis, S. (1994). A Fractal which violates the Axiom of Determinacy. BRICS Report Series, 1(24). https://doi.org/10.7146/brics.v1i24.21642