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Ontological Reduction

Mind 86 (344):624-627 (1977)

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  1. (1 other version)Where Do the Cardinal Numbers Come From?Harold T. Hodes - 1990 - Synthese 84 (3):347-407.
    This paper presents a model-theoretic semantics for discourse "about" natural numbers, one that captures what I call "the mathematical-object picture", but avoids what I can "the mathematical-object theory".
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  • (1 other version)Where do the natural numbers come from?Harold T. Hodes - 1990 - Synthese 84 (3):347-407.
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  • The Bound State Answer to the Special Composition Question.Claudio Calosi - 2022 - Philosophy of Science 89 (3):486-503.
    This paper provides the first thorough assessment of a physics-based answer, the Bound State Answer, to the Special Composition Question. According to the BSA some objects compose something if they are in a common bound state. The reasons to endorse such an answer, in particular, motivations coming from empirical adequacy and conservativeness, precision, simplicity, and parsimony, are critically addressed. I then go on to compare the BSA to other moderate answers to the SCQ and consider whether objections raised against such (...)
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  • The Physicalization of Mathematics.Peter Milne - 1994 - British Journal for the Philosophy of Science 45 (1):305-340.
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  • Ontology and grammar: I. Russell's paradox and the general theory of properties in natural language.Hector-Neri Castañeda - 1976 - Theoria 42 (1-3):44-92.
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