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The Number of Planets, a Number-Referring Term?

In Philip A. Ebert & Marcus Rossberg (eds.), Abstractionism: Essays in Philosophy of Mathematics. Oxford, England: Oxford University Press UK. pp. 113-129 (2016)

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  1. A Quinean Reformulation of Fregean Arguments.Nathaniel Gan - 2023 - Acta Analytica 38 (3):481-494.
    In ontological debates, realists typically argue for their view via one of two approaches. The _Quinean approach_ employs naturalistic arguments that say our scientific practices give us reason to affirm the existence of a kind of entity. The _Fregean approach_ employs linguistic arguments that say we should affirm the existence of a kind of entity because our discourse contains reference to those entities. These two approaches are often seen as distinct, with _indispensability arguments_ typically associated with the former, but not (...)
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  • Number words as number names.Friederike Moltmann - 2017 - Linguistics and Philosophy 40 (4):331-345.
    This paper criticizes the view that number words in argument position retain the meaning they have on an adjectival or determiner use, as argued by Hofweber :179–225, 2005) and Moltmann :499–534, 2013a, 2013b). In particular the paper re-evaluates syntactic evidence from German given in Moltmann to that effect.
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  • (1 other version)Frege's Theorem in Plural Logic.Simon Hewitt - manuscript
    We note that a plural version of logicism about arithmetic is suggested by the standard reading of Hume's Principle in terms of `the number of Fs/Gs'. We lay out the resources needed to prove a version of Frege's principle in plural, rather than second-order, logic. We sketch a proof of the theorem and comment philosophically on the result, which sits well with a metaphysics of natural numbers as plural properties.
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  • Books of Essays.Guillermo E. Rosado Haddock - 2017 - Philosophia Mathematica 25 (2):nkw34.
    Guillermo E. Rosado Haddock, ed. Husserl and Analytic Philosophy. Berlin/Boston: Walter de Gruyter GmbH, 2016. ISBN 978-3-11-049655-0 ; 978-3-11-049737-3 ; 978-3-11-049418-1. Pp. viii + 338.
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