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  1. The Mass-Count Distinction and Davidsonian Events: A Truthmaker-Based Approach.Friederike Moltmann - manuscript
    The mass-count distinction is a morpho-syntactic distinction that is generally taken to have semantic content or reflect a semantic mass-count distinction. Three general approaches to the semantic mass-count distinction can be distinguished: 1. the object-based approach, 2. the extension-based approach, and 3. the grammar-based approach in the spirit of what Rothstein’s (2017) calls 'grammaticized individuation'. The grammar-based approach predicts that category lacking a syntactic mass-count distinction should semantically side with mass rather than count. This paper argues that this prediction is (...)
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  • How Do We Semantically Individuate Natural Numbers?†.Stefan Buijsman - forthcoming - Philosophia Mathematica.
    ABSTRACT How do non-experts single out numbers for reference? Linnebo has argued that they do so using a criterion of identity based on the ordinal properties of numerals. Neo-logicists, on the other hand, claim that cardinal properties are the basis of individuation, when they invoke Hume’s Principle. I discuss empirical data from cognitive science and linguistics to answer how non-experts individuate numbers better in practice. I use those findings to develop an alternative account that mixes ordinal and cardinal properties to (...)
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  • A Numeral Oddity.Luca Gasparri - 2019 - Journal of Semantics 36 (3):563-571.
    Natural language appears to allow the ascription of properties of numeral symbols to the denotation of number referring phrases. The paper describes the phenomenon and presents two alternative explanations for why it obtains. One combining an intuitive semantics for number referring phrases and a predicate-shifting mechanism, the other assigning number referring phrases a structured denotation consisting of two parts: a mathematical object (the number) and a contextually determined numeral symbol. Some preliminary observations in favor of the second analysis are offered.
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