Special Workshop Abstract

Special Workshop Title: Law, Morality, Politics, Defeasibility
Author: Jan-R Sieckmann
Paper Title: The Fragmentation of Deontic Logic
Abstract: I will argue two theses, first, that various ‘logics’ are needed for analysing normative argumentation, that is, there exists a fragmentation of deontic logic, corresponding to the logical structure of the normative language which is used in various parts of normative argumentation. And second, that despite of the development of defeasible and non-monotonic reasoning, there still is no adequate logic for the weighing and balancing of normative arguments.

A central feature of the weighing and balancing of normative arguments in a strict sense is that there is no pre-established rule which decides the case in question, but the rule to be applied is determined as the result of a weighing and balancing procedure by an autonomous judgement bound by normative arguments. The justificatory relation between the arguments and the resulting statement is not a logical inference but a normative relation. It includes a pragmatic element, of establishing a norm on the basis of arguments, which is neither adequately represented in deductive models nor in non-monotonic models of normative argumentation.

This conception of weighing and balancing is based on a conception of normative arguments as being reiterated requirements of validity, demanding that a particular norm shall be accepted as definitively valid and including, at a pragmatic level, the claim that the respective requirement can be supported by further arguments of ever higher order. If this support exists, there is a valid normative argument. The result of a weighing and balancing of normative arguments is a normative judgement or statement of a norm as definitively valid. Such normative arguments, judgements and statements must be distinguished from statements of prima facie-, pro tanto-validity or of validity as membership in a normative system.

Accordingly, various logical relations occur in an argumentation consisting of a weighing and balancing of normative arguments, for example inferences within normative arguments, normative relations between normative arguments and the resulting normative judgements or statements, and prima facie- or defeasible relations between normative statements. The logical relations depend on the type of validity as well as on the content of the norms to which validity of a particular type is attributed, and hence result in different systems of a logic of norms, that is, a fragmentation of deontic logic.

My analysis of normative argumentation does not make use of the conceptions of defeasibility and non-monotonic reasoning, however, it does not exclude this types of reasoning. Nevertheless, although an analysis of non-deductive legal reasoning in cases of conflicting norms is needed, the idea of defeasibility nevertheless does not seem to go to the heart of the matter of weighing and balancing normative arguments. If defeasible reasoning contains that inferences may be invalidated by new information, in case of a norm collision there is such new information and, hence, defeasibility is of no use. Also the non-deductive element of weighing and balancing normative arguments, being of creative or constructive character, is not grasped by defeasible reasoning. Moreover, from a participant's or internal point of view, a normative justification requires only two types of reasoning, constructive reasoning by weighing and balancing normative arguments, and deductive reasoning on the basis of established norms. Hence, defeasible or non-monotonic logic may be of special interest for the representation of legal systems, or for modelling actual human reasoning, but not for the participatory reasoning of those engaging in procedures of weighing and balancing.

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