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Normative Conditional Reasoning as a Fragment of HOL
Parent, Xavier; Benzmüller, Christoph (2023): Normative Conditional Reasoning as a Fragment of HOL, in: Online: arXiv, S. 1–22, doi: 10.48550/arxiv.2308.10686.
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Year of publication:
2023
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Language:
English
Abstract:
We report some results regarding the mechanization of normative (preference-based) conditional reasoning. Our focus is on Aqvist's system E for conditional obligation (and its extensions). Our mechanization is achieved via a shallow semantical embedding in Isabelle/HOL. We consider two possible uses of the framework. The first one is as a tool for meta-reasoning about the considered logic. We employ it for the automated verification of deontic correspondences (broadly conceived) and related matters, analogous to what has been previously achieved for the modal logic cube. The second use is as a tool for assessing ethical arguments. We provide a computer encoding of a well-known paradox in population ethics, Parfit's repugnant conclusion. Whether the presented encoding increases or decreases the attractiveness and persuasiveness of the repugnant conclusion is a question we would like to pass on to philosophy and ethics.
GND Keywords: ; ; ; ; ;
Isabelle <Programm>
HOL
Automatisches Beweisverfahren
Demographie
Inferenz <Künstliche Intelligenz>
Paradoxon
Keywords: ; ; ; ; ;
Conditional obligation
betterness
Isabelle/HOL
automated theorem proving
population ethics
mere addition/repugnant conclusion paradox
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Preprint
Activation date:
August 23, 2023
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https://fis.uni-bamberg.de/handle/uniba/90106