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The Meanings of the Logical Constants in Deontic Logic

Sean Coyle

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Abstract

If deontic logic is to cast light on any of the normative sciences, such as legal reasoning, then certain problems regarding its logical constants must be faced. Recent studies in the area of deontic logic have tended to assume that it is our responses to the “paradoxes” of deontic implication which are fundamental to resolving problems with the use of deontic logic to investigate various branches of normative reasoning. In this paper I wish to show that the paradoxes are of secondary importance; that they are merely by‐products of the central issue, namely the ability of certain syntactic forms to embody natural language structures used in reasoning about norms. An investigation of modal syntax is proffered as the best starting‐point from which to tackle the questions that still dog the legitimacy of deontic logic. Part I provides some philosophical background to the discussion of deontic logical constants. Part II addresses in greater detail issues concerning the representation of normative concepts; and Part III offers a few remarks on the general issue of deontic logic's fruitfulness as an analytical tool.

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If deontic logic is to cast light on any of the normative sciences, such as legal reasoning, then certain problems regarding its logical constants must be faced. Recent studies in the area of deontic logic have tended to assume that it is our responses to the “paradoxes” of deontic implication which are fundamental to resolving problems with the use of deontic logic to investigate various branches of normative reasoning. In this paper I wish to show that the paradoxes are of secondary importance; that they are merely by‐products of the central issue, namely the ability of certain syntactic forms to embody natural language structures used in reasoning about norms. An investigation of modal syntax is proffered as the best starting‐point from which to tackle the questions that still dog the legitimacy of deontic logic. Part I provides some philosophical background to the discussion of deontic logical constants. Part II addresses in greater detail issues concerning the representation of normative concepts; and Part III offers a few remarks on the general issue of deontic logic's fruitfulness as an analytical tool.

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Available abstract

If deontic logic is to cast light on any of the normative sciences, such as legal reasoning, then certain problems regarding its logical constants must be faced. Recent studies in the area of deontic logic have tended to assume that it is our responses to the “paradoxes” of deontic implication which are fundamental to resolving problems with the use of deontic logic to investigate various branches of normative reasoning. In this paper I wish to show that the paradoxes are of secondary importance; that they are merely by‐products of the central issue, namely the ability of certain syntactic forms to embody natural language structures used in reasoning about norms. An investigation of modal syntax is proffered as the best starting‐point from which to tackle the questions that still dog the legitimacy of deontic logic. Part I provides some philosophical background to the discussion of deontic logical constants. Part II addresses in greater detail issues concerning the representation of normative concepts; and Part III offers a few remarks on the general issue of deontic logic's fruitfulness as an analytical tool.

Key concepts: Deontic logic, Normative, Normal modal logic, Epistemology, Accessibility relation, Computer science, Representation (politics), Philosophy

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