The Quantified Argument Calculus and Natural Logic

The formalisation of natural language arguments in a formal language close to it in syntax has been a central aim of Moss's Natural Logic. I examine how the Quantified Argument Calculus (Quarc) can handle the inferences Moss has considered. I show that they can be incorporated in existing vers...

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Main Author: Hanoch Ben-Yami
Format: Article
Language:English
Published: Philosophie.ch 2022-11-01
Series:Dialectica
Online Access:https://dialectica.philosophie.ch/dialectica/article/view/13
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author Hanoch Ben-Yami
author_facet Hanoch Ben-Yami
author_sort Hanoch Ben-Yami
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description The formalisation of natural language arguments in a formal language close to it in syntax has been a central aim of Moss's Natural Logic. I examine how the Quantified Argument Calculus (Quarc) can handle the inferences Moss has considered. I show that they can be incorporated in existing versions of Quarc or in straightforward extensions of it, all within sound and complete systems. Moreover, Quarc is closer in some respects to natural language than are Moss's systems---for instance, it does not use negative nouns. The process also sheds light on formal properties and presuppositions of some inferences it formalises. Directions for future work are outlined.
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spelling doaj.art-2fba9ad9e2cd408fbcc78721f2d724522023-04-06T01:04:44ZengPhilosophie.chDialectica0012-20171746-83612022-11-01999110.48106/dial.v74.i2.02The Quantified Argument Calculus and Natural LogicHanoch Ben-Yami The formalisation of natural language arguments in a formal language close to it in syntax has been a central aim of Moss's Natural Logic. I examine how the Quantified Argument Calculus (Quarc) can handle the inferences Moss has considered. I show that they can be incorporated in existing versions of Quarc or in straightforward extensions of it, all within sound and complete systems. Moreover, Quarc is closer in some respects to natural language than are Moss's systems---for instance, it does not use negative nouns. The process also sheds light on formal properties and presuppositions of some inferences it formalises. Directions for future work are outlined. https://dialectica.philosophie.ch/dialectica/article/view/13
spellingShingle Hanoch Ben-Yami
The Quantified Argument Calculus and Natural Logic
Dialectica
title The Quantified Argument Calculus and Natural Logic
title_full The Quantified Argument Calculus and Natural Logic
title_fullStr The Quantified Argument Calculus and Natural Logic
title_full_unstemmed The Quantified Argument Calculus and Natural Logic
title_short The Quantified Argument Calculus and Natural Logic
title_sort quantified argument calculus and natural logic
url https://dialectica.philosophie.ch/dialectica/article/view/13
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