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Set Partitions and the Meaning of the Same

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Abstract

It is shown that the notion of the partition of a set can be used to describe in a uniform way the meaning of the expression the same, in its basic uses in transitive and ditransitive sentences. Some formal properties of the function denoted by the same, which follow from such a description are indicated. These properties indicate similarities and differences between functions denoted by the same and generalised quantifiers.

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Correspondence to R. Zuber.

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Thanks to reviewers for Journal of Logic, Language and Information for various remarks on a previous version of this paper. Thanks to Ross Charnock for the usual help with English.

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Zuber, R. Set Partitions and the Meaning of the Same . J of Log Lang and Inf 26, 1–20 (2017). https://doi.org/10.1007/s10849-016-9241-z

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