%0 Journal Article %T Determinacy Maximum %A Dmytro Taranovsky %J Mathematics %D 2003 %I arXiv %X We propose a new determinacy hypothesis for transfinite games, use the hypothesis to extend the perfect set theorem, prove relationships between various determinacy hypotheses, expose inconsistent versions of determinacy, and provide a philosophical justification for determinacy. %U http://arxiv.org/abs/math/0311095v1