Determinacy is a subfield of set theory, a branch of mathematics, that examines the conditions under which one or the other player of a game has a winning...
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In mathematics, the axiom of determinacy (abbreviated as AD) is a possible axiom for set theory introduced by Jan Mycielski and Hugo Steinhaus in 1962...
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Kinematic determinacy is a term used in structural mechanics to describe a structure where material compatibility conditions alone can be used to calculate...
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projective determinacy is the special case of the axiom of determinacy applying only to projective sets. The axiom of projective determinacy, abbreviated...
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Set theory (section Determinacy)
is common in the study of determinacy and large cardinals, especially when considering axioms such as the axiom of determinacy that contradict the axiom...
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Statically indeterminate (redirect from Statical determinacy)
necessary for stability. Christian Otto Mohr Flexibility method Kinematic determinacy Overconstrained mechanism Structural engineering Matheson, James Adam...
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In descriptive set theory, the Borel determinacy theorem states that any Gale–Stewart game whose payoff set is a Borel set is determined, meaning that...
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In mathematics, the axiom of real determinacy (abbreviated as ADR) is an axiom in set theory. It states the following: Axiom — Consider infinite two-person...
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real determinacy Von Neumann–Bernays–Gödel axioms Continuum hypothesis and its generalization Freiling's axiom of symmetry Axiom of determinacy Axiom...
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Information (section Physics and determinacy)
Information is an abstract concept that refers to something which has the power to inform. At the most fundamental level, it pertains to the interpretation...
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AD+ (redirect from Ordinal determinacy)
theory, AD+ is an extension, proposed by W. Hugh Woodin, to the axiom of determinacy. The axiom, which is to be understood in the context of ZF plus DCR (the...
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General equilibrium theory (section Determinacy)
In economics, general equilibrium theory attempts to explain the behavior of supply, demand, and prices in a whole economy with several or many interacting...
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Beth number (section Borel determinacy)
then any set of ur-elements is equinumerous with a pure set. Borel determinacy is implied by the existence of all beths of countable index. Transfinite...
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notable works are the proofs of analytic determinacy (from the existence of a measurable cardinal), Borel determinacy (from ZFC alone), the proof (with John...
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Moment problem (section Uniqueness (or determinacy))
In mathematics, a moment problem arises as the result of trying to invert the mapping that takes a measure μ {\displaystyle \mu } to the sequence of moments...
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projective determinacy are hard to find. ZFC + {there are n Woodin cardinals: n is a natural number} is conservative over Z2 with projective determinacy[citation...
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Structural engineering depends upon a detailed knowledge of loads, physics and materials to understand and predict how structures support and resist self-weight...
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e Topics in game theory Definitions Congestion game Cooperative game Determinacy Escalation of commitment Extensive-form game First-player and second-player...
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ISBN 978-1-4398-4436-6. Bortiri, E.; Hake, S. (13 January 2007). "Flowering and determinacy in maize". Journal of Experimental Botany. 58 (5). Oxford University...
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contributions to the theory of inner models and determinacy. With Donald A. Martin, he proved projective determinacy, assuming the existence of sufficient large...
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Hex (board game) (section Determinacy)
prove the two-dimensional Brouwer fixed-point theorem, and that the determinacy of higher-dimensional variants proves the fixed-point theorem in general...
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recursion, ∆0 2 determinacy, and the ∆1 1 Ramsey theorem are all equivalent to each other. Over RCA0, Σ1 1 monotonic induction, Σ0 2 determinacy, and the Σ1...
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to sociological analysis. He is best known for creating and defining determinacy analysis and the theory of rules. Sergey Chesnokov was born on 29 June...
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added hypothesis that ZF is consistent. The axiom of determinacy The axiom of real determinacy AD+ Since 2000, logical independence has become understood...
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Adjunction Choice countable dependent global Constructibility (V=L) Determinacy Extensionality Infinity Limitation of size Pairing Power set Regularity...
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that are not compatible with the axiom of choice, such as the axiom of determinacy. The axiom of choice is avoided in some varieties of constructive mathematics...
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Universally measurable set Determinacy AD+ Axiom of determinacy Axiom of projective determinacy Axiom of real determinacy Empty set Forcing (mathematics)...
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symbol of dentistry. The anonymous signature of James David Forbes. Determinacy (having a definite truth-value) in philosophical logic. In mathematics...
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Universally measurable set Determinacy AD+ Axiom of determinacy Axiom of projective determinacy Axiom of real determinacy Empty set Forcing (mathematics)...
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Baire. This is related to the fact that ZFC proves Borel determinacy, but not projective determinacy. There are also generic extensions of L {\displaystyle...
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