Notes on Mally’s Deontic Logic and the Collapse of Modalities

Synthese 190 (18):4095-4116 (2013)
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Abstract

This paper analyzes Mally’s system of deontic logic, introduced in his The Basic Laws of Ought: Elements of the Logic of Willing (1926). We discuss Mally’s text against the background of some contributions in the literature which show that Mally’s axiomatic system for deontic logic is flawed, in so far as it derives, for an arbitrary A, the theorem “A ought to be the case if and only if A is the case”, which represents a collapse of obligation. We then try to sort out and understand which axioms are responsible for the collapse and consider two ways of amending Mally’s system: (i) by changing its original underlying logical basis, that is classical logic, and (ii) by modifying Mally’s axioms

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2013-03-14

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Stefania Centrone
Technische Universität Berlin

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References found in this work

Essence and modality.Kit Fine - 1994 - Philosophical Perspectives 8 (Logic and Language):1-16.
Norm and action.Georg Henrik von Wright - 1963 - New York,: Humanities.
Formal Logic.Arthur N. Prior & Norman Prior - 1955 - Oxford,: Oxford University Press.
Deontic logic.G. H. von Wright - 1951 - Mind 60 (237):1-15.

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