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Professor Dr. Massimiliano Ferrara of Università Mediterranea di Reggio Calabria, and colleagues, have recently published or presented a series of papers describing a mathematical model of law:

A Mathematical Model for the Quantitative Analysis of Law:   http://www.wseas.us/e-library/conferences/2012/CambridgeUSA/MATHCC/MATHCC-31.pdf  (shortlink:  http://bit.ly/10n2OG7  )
Abstract: 'This paper outlines the fundamentals of a mathematical model for the quantitative analysis of the legal phenomena. This model is not intended to be confined to a certain area of law, nor to a specific legal system, instead it is meant to provide with a framework of legal general theory, applicable to every legal situation. The model works conditionally upon the fact that any legally material event is described using a logical hypothetical tool (the Model Situation). This model associates any Situation with a certain axiological potential, what makes possible to determine even the discretionary amount of axiological potential, at disposal for the tactics of the legal operator. Legal conflicts among axiological potentials could be easily and objectively adjudicated.'

Axiological Feedback and the Creation Cycle of Legal Values:  http://www.wseas.us/e-library/conferences/2012/Zlin/EPRI/EPRI-49.pdf  (shortlink:  http://bit.ly/123ECNX  )
Abstract: '- This paper focuses on some aspects of a mathematical model for the creation of legal values, still in progress. The cycle of axiological genesis is to be analyzed as composed of two phases: the pretention of the subject towards an object; the feedback of acknowledgment, qualifying and vesting the pretention. The synthesis of those two moments gives birth to a legal entitlement, associated with a certain axiological potential. Such entitlement can be challenged by another person, hence triggering an adjudication process. The engineering of the legitimacy to emit the feedback signal leads the way to social and political issues. As a conclusion for this paper, we call upon a new approach for the Economic Analysis of Law, applying economic methods, tools and criteria directly to legal values, and not just on economic values affected by law.'

Functional Innovation and the Clusters within the Legal Structures. Some Quantitative Remarks in an Axiological Model:   http://www.wseas.us/e-library/conferences/2012/Paris/CICOCOM/CICOCOM-17.pdf  (shortlink:  http://bit.ly/10qoKyD  )
Abstract: 'This paper implements a mathematical model for the quantitative analysis of law to an explanatory case, drawn from estate property law, in order to introduce cluster analysis within the description of legal entities. Segregation of clusters of elements, within any legal structure, allows the system to attain different functional ends, within each organic unity. The injection of clusters complicates the functional pattern of a legal organism: this innovation evolutes the structure towards more complex legal states. Sometimes innovation directly aims at the resolution of axiological conflicts among competing legal entitlements, as in the case at issue. More generally, legal functional innovation enables effective management of legal assets.' 

Law as a System of Proportions and Symmetries:   http://www.wseas.us/e-library/conferences/2012/Iasi/BUBICHE/BUBICHE-17.pdf  (shortlink:  http://bit.ly/16quPQw  )
Abstract: 'This paper aims at describing the mathematical proportions and symmetries characterizing the notion of legal Order. Starting from a Middle-Age definition of jus, we try to analyze the real and personal components of a legal proportion within any legal inter-individual relation. Then we deal with legal causality link in any legal rule, introducing a symmetric model of causation, instead of the more traditional interpretation of legal causation as consecutio temporum. Proportion and Symmetry make order inside a legal System.'

Legal Rules and Principles as informational vectors in legal time and space: http://www.davidpublishing.com/davidpublishing/Upfile/9/6/2012/2012090684302529.pdf  (shortlink:  http://bit.ly/125gneo  )
Abstract: ': This paper describes the basic notions of a model intended to allow for a quantitative analysis of the legal phenomenon of a comprehensive and universal sphere of applicability. It is part of a more general ongoing research project, and it specifically deals with some aspects of the model, such as its partition in legal statics and legal dynamics, non-organic and organic. In effect, we will introduce a series of elementary components of the legal system, the ideas of legal values and legal order, and then the axiological organisms which compose such system, and some concepts about their interaction, even through the use of vector representation. To this end, we will outline the structural features of legal positions, situations, rules and principles, the entities at stake whenever a legal conflict occurs among entitlements and an adjudication process is needed for. Finally, we will define the concept of legal mass, according to its information capacity, distinguishing conceptual mass and gap mass.'

Legal Values and Legal Entropy: A Suggested Mathematical Model:  http://naun.org/multimedia/NAUN/m3as/16-110.pdf  (shortlink:  http://bit.ly/Z2kTqh  )
Abstract: 'We will describe the fundamentals of a mathematical model for the quantitative analysis of the legal phenomena, intended to provide with a framework of legal general theory, allegedly applicable to every legal situation. In particular, the model can identify any legally material event using a logical hypothetical tool (the Model Situation) and associating to any Situation a certain axiological potential, what makes possible to determine even the amount of axiological potential, at disposal for the discretionary policies of the legal operator. Legal conflicts among axiological potentials may be easily and property rights objectively entitled and adjudicated amongst many challengers. We will try and apply the model to one legal rule of universal applicability (art. 3 of the Universal Declaration of Human Rights, attributing the right to life) and put some seminal considerations regarding the concept of Legal Entropy as related to the welfare level within the legal system.'
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