Dmytro Taranovsky
Abstract
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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.
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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.
Key concepts: Determinacy, Transfinite number, Mathematics, Set (abstract data type), Mathematical economics, Pure mathematics, Computer science, Mathematical analysis