In set theory, a branch of mathematics, **determinacy** is the study of under what circumstances one or the other player of a game must have a winning strategy, and the consequences of the existence of such strategies.

Read more about Determinacy: Determinacy From Elementary Considerations, Determinacy From ZFC, Determinacy and Large Cardinals, Quasistrategies and Quasideterminacy

### Other articles related to "determinacy":

Borel

... In descriptive set theory, the Borel

**Determinacy**Theorem... In descriptive set theory, the Borel

**determinacy**theorem states that any Gale-Stewart game whose winning set is a Borel set is determined, meaning that one of the two players will have a ... Later results showed that stronger**determinacy**theorems cannot be proven in Zermelo-Fraenkel set theory, although they are relatively consistent with it ...Determinator -

... are infinitely many Woodin cardinals, then projective

**Determinacy**and Large Cardinals - Projective**Determinacy**... are infinitely many Woodin cardinals, then projective

**determinacy**holds that is, every game whose winning condition is a projective set is determined ... From projective**determinacy**it follows that, for every natural number n, there is a transitive inner model which satisfies that there are n Woodin cardinals ...Mirror Mount - Related Devices

... gimbal mount most rotation stages are not designed based on the principles of kinematic

... gimbal mount most rotation stages are not designed based on the principles of kinematic

**determinacy**... A linear motion bearing or linear stage having kinematic**determinacy**uses two V-grooves sliding on a cylinder, a flat surface sliding on a second parallel cylinder, and a flat surface joining the screw ... For kinematic**determinacy**each leg consists of a ball set in a trihedral hole in the fixed frame, a ball joining a flat plate in the fixed frame, and a ball joing a trihedral hole in the ...Axioms Of Set Theory - Areas of Study -

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**Determinacy**...

**Determinacy**refers to the fact that, under appropriate assumptions, certain two-player games of perfect information are determined from the start in the sense that one player ... The axiom of**determinacy**(AD) is an important object of study although incompatible with the axiom of choice, AD implies that all subsets of the real line are well behaved (in ...Borel

... Several set-theoretic principles about

**Determinacy**Theorem - Stronger Forms of**Determinacy**... Several set-theoretic principles about

**determinacy**stronger than Borel**determinacy**are studied in descriptive set theory ... The axiom of projective**determinacy**states that all projective subsets of a Polish space are determined ... The axiom of**determinacy**states that all subsets of all Polish spaces are determined ...Related Subjects

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