A logical typology of normative systems

Journal of Applied Ethics and Philosophy 2 (1):30-40 (2010)
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Abstract

In this paper, the set-theoretic approach in the logical theory of normative systems is extended using Broome’s definition of the normative code function. The syntax and semantics for first order metanormative language is defined, and metanormative language is applied in the formalization of the basic principles in Broome’s approach and in the construction of a logical typology of normative systems. Special attention is given to the types of normative systems which are not definable in terms of the properties of singular sets of requirements (e.g. the realization equivalence of codes, the social compatibility of codes, and the compatibility of codes issued by different normative sources). Examples are given of the application of the typology in the interpretation of philosophical texts. Von Wright’s hypothesis on the connection of logical properties of normative systems, conceived set-theoretically, with standard deontic logic is proved by introducing the translation function between the metanormative language and the restricted language of standard deontic logic. The translation reveals that von Wright’s hypothesis must be appended. The problems of narrow and wide scope readings of the deontic conditionals and of the meaning of iterated deontic operators are addressed using the distinction between relative and absolute normative codes. The theorem on the existence of a realization equivalent absolute code for any relative code is proved.

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Berislav Žarnić
University Zagreb

References found in this work

Problems of rationality.Donald Davidson - 2004 - New York: Oxford University Press.
Norm and Action: A Logical Enquiry.Georg Henrik von Wright - 1963 - New York, NY, USA: Routledge and Kegan Paul.
Deontic logic.G. H. von Wright - 1951 - Mind 60 (237):1-15.
Is Rationality Normative?John Broome - 2007 - Disputatio 2 (23):161-178.
Who is Fooled.Donald Davidson - 2004 - In Problems of Rationality. Oxford University Press.

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