U. Yurtsever

Does the Hardin-Taylor Predictor Actually Predict the Future? Yes; but Only in Retrospect

The Hardin-Taylor theorem, a consequence of the axiom of choice, gives a strategy to predict future values of an arbitrary function of time $f:\mathbb{R}\to S$ given its past values. The times in $\mathbb{R}$ at which the strategy fails are shown to form a countable nowhere dense set for any function $f$. The theorem i...