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":

Axioms Of Set Theory - Areas of Study -

...

**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 must have a winning strategy ... 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 particular ...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 ...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 ... 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 ...Determinator -

... If there are infinitely many Woodin cardinals, then projective

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

**determinacy**holds that is, every game whose winning condition is a projective set is ... 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 ...Main Site Subjects

Related Subjects

Related Phrases

Related Words