0000000001043895

AUTHOR

Víctor H. Cervantes

showing 4 related works from this author

On Contextuality in Behavioral Data

2015

Dzhafarov, Zhang, and Kujala (Phil. Trans. Roy. Soc. A 374, 20150099) reviewed several behavioral data sets imitating the formal design of the quantum-mechanical contextuality experiments. The conclusion was that none of these data sets exhibited contextuality if understood in the generalized sense proposed in Dzhafarov, Kujala, and Larsson (Found. Phys. 7, 762-782, 2015), while the traditional definition of contextuality does not apply to these data because they violate the condition of consistent connectedness (also known as marginal selectivity, no-signaling condition, no-disturbance principle, etc.). In this paper we clarify the relationship between (in)consistent connectedness and (non…

Computer scienceGeneral MathematicsFOS: Physical sciencesGeneral Physics and Astronomy01 natural sciences050105 experimental psychology0103 physical sciences0501 psychology and cognitive sciencescontextuality010306 general physicsta515Cognitive scienceQuantum Physics05 social sciencesta111General Engineeringcyclic systemsArticlesKochen–Specker theorem81P13 81Q99 60A99 81P13 81Q99 60A99 81P13 81Q99 60A99Formal designFOS: Biological sciencesQuantitative Biology - Neurons and Cognitionconsistent connectednessNeurons and Cognition (q-bio.NC)Quantum Physics (quant-ph)
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Contextuality in canonical systems of random variables

2017

Random variables representing measurements, broadly understood to include any responses to any inputs, form a system in which each of them is uniquely identified by its content (that which it measures) and its context (the conditions under which it is recorded). Two random variables are jointly distributed if and only if they share a context. In a canonical representation of a system, all random variables are binary, and every content-sharing pair of random variables has a unique maximal coupling (the joint distribution imposed on them so that they coincide with maximal possible probability). The system is contextual if these maximal couplings are incompatible with the joint distributions o…

Pure mathematicsGeneral MathematicsGeneral Physics and AstronomyBinary numberFOS: Physical sciencesContext (language use)01 natural sciences050105 experimental psychologydirect influencesJoint probability distribution0103 physical sciencesFOS: Mathematics0501 psychology and cognitive sciencesCanonical formcontextuality010306 general physicsCategorical variableta515MathematicsQuantum Physics05 social sciencesProbability (math.PR)ta111General EngineeringArticlesKochen–Specker theoremcanonical systemsIf and only ifdichotomizationmeasurementsQuantum Physics (quant-ph)81P13 81Q99 60A99Random variableMathematics - ProbabilityPhilosophical Transactions of the Royal Society A : Mathematical Physical and Engineering Sciences
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Contextuality-by-Default: A Brief Overview of Ideas, Concepts, and Terminology

2016

This paper is a brief overview of the concepts involved in measuring the degree of contextuality and detecting contextuality in systems of binary measurements of a finite number of objects. We discuss and clarify the main concepts and terminology of the theory called “contextuality-by-default,” and then discuss generalizations of the theory to arbitrary systems of arbitrary random variables.

010308 nuclear & particles physics0103 physical sciencesCalculus010306 general physics01 natural sciencesAlgorithmFinite setKochen–Specker theoremMathematicsTerminology
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A Supplementary Text to “Contextuality in Canonical Systems of Random Variables” by Ehtibar N. Dzhafarov, Víctor H. Cervantes, and Janne V. Kujala (P…

2017

Mathematical Proofs

TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESTheoryofComputation_LOGICSANDMEANINGSOFPROGRAMSMathematicsofComputing_GENERAL
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