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Logic and Logical Philosophy

First-Order Logic with Adverbs
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First-Order Logic with Adverbs

Authors

  • Tristan Grøtvedt Haze School of Historical and Philosophical Studies, University of Melbourne https://orcid.org/0000-0002-2098-1892

DOI:

https://doi.org/10.12775/LLP.2024.010

Keywords

adverbs, notation, extensions of first-order logic

Abstract

This paper introduces two languages and associated logics designed to afford perspicuous representations of a range of natural language arguments involving adverbs and the like: first-order logic with basic adverbs (FOL-BA) and first-order logic with scoped adverbs (FOL-SA). The guiding logical idea is that an adverb can come between a term and the rest of the statement it is a part of, resulting in a logically stronger statement. I explain various interesting challenges that arise in the attempt to implement the guiding idea, and provide solutions for some but not all of them. I conclude by outlining some directions for further research.

References

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van Benthem, J., 2008, “A brief history of natural logic”, pages 21–42 in M. Chakraborty, B. Löwe, M. Nath Mitra, S. Sarukkai (eds.), Logic, NavyaNy¯aya and Applications: Homage to Bimal Krishna Matilal, London: College Publications.

Various, 2017, The Open Logic Text. https://builds.openlogicproject.org/open-logic-complete.pdf" (last accessed November 25, 2023).

Logic and Logical Philosophy

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Published

2024-02-14

How to Cite

1.
HAZE, Tristan Grøtvedt. First-Order Logic with Adverbs. Logic and Logical Philosophy. Online. 14 February 2024. Vol. 33, no. 2, pp. 289-324. [Accessed 21 May 2025]. DOI 10.12775/LLP.2024.010.
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Issue

Vol. 33 No. 2 (2024): June

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Articles

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Copyright (c) 2024 Tristan Grøtvedt Haze

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This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

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