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  1. Steps Towards a Minimalist Account of Numbers.Thomas Schindler - 2022 - Mind 131 (523):865-893.
    This paper outlines an account of numbers based on the numerical equivalence schema (NES), which consists of all sentences of the form ‘#x.Fx=n if and only if ∃nx Fx’, where # is the number-of operator and ∃n is defined in standard Russellian fashion. In the first part of the paper, I point out some analogies between the NES and the T-schema for truth. In light of these analogies, I formulate a minimalist account of numbers, based on the NES, which strongly (...)
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  • Steps Towards a Minimalist Account of Numbers.Thomas Schindler - 2021 - Mind 131 (523):863-891.
    This paper outlines an account of numbers based on the numerical equivalence schema, which consists of all sentences of the form ‘#x.Fx=n if and only if ∃nx Fx’, where # is the number-of operator and ∃n is defined in standard Russellian fashion. In the first part of the paper, I point out some analogies between the NES and the T-schema for truth. In light of these analogies, I formulate a minimalist account of numbers, based on the NES, which strongly parallels (...)
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  • Where do the natural numbers come from?Harold T. Hodes - 1990 - Synthese 84 (3):347-407.
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  • Cardinality logics. Part II: Definability in languages based on `exactly'.Harold Hodes - 1988 - Journal of Symbolic Logic 53 (3):765-784.
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