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An Algebraic Analysis of Normative Systems
Author(s) -
Lindahl Lars,
Odelstad Jan
Publication year - 2000
Publication title -
ratio juris
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.344
H-Index - 10
eISSN - 1467-9337
pISSN - 0952-1917
DOI - 10.1111/1467-9337.00155
Subject(s) - normative , algebraic number , representation (politics) , algebra over a field , computer science , extension (predicate logic) , mathematics , epistemology , pure mathematics , law , political science , philosophy , programming language , mathematical analysis , politics
In the present paper we study how subsystems of a normative system can be combined, and the role of such combinations for the understanding of hypothetical legal consequences. A combination of two subsystems is often accomplished by a normative correlation or an intermediate concept. To obtain a detailed analysis of such phenomena we use an algebraic framework. Normative systems are represented as algebraic structures over sets of conditions. This representation makes it possible to study normative systems using an extension of the theory of Boolean algebras, called the theory of Boolean quasi‐orderings.