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A Note on Logicality of Generalized Quantifiers

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Abstract

This note follows up an earlier paper in which a possibility of defining logical constants within abstract logical frameworks was discussed, by using duals as a general method of applying the idea of invariance under replacement as a criterion for logicality. In the present note, this approach is applied to the discussion on logicality of generalized quantifiers. It is demonstrated that generalized quantifiers are logical constants by this criterion.

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Correspondence to Tin Perkov.

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This work has been supported by Croatian Science Foundation (HRZZ) under projects UIP-2017-05-9219 and IP-2018-01-7459.

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Perkov, T. A Note on Logicality of Generalized Quantifiers. Log. Univers. 15, 149–152 (2021). https://doi.org/10.1007/s11787-021-00271-8

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  • DOI: https://doi.org/10.1007/s11787-021-00271-8

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