数学基础的现实主义和不确定性

Francesca Boccuni
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摘要

近三十年来数学哲学中最具影响力的两种基本方法,即新数学主义和先验数学结构主义,都存在着形而上学和语义上的不确定性。我目前的目的是对这一现象作出解释,并根据任意参考提供一种解决办法。
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REALISMO E INDETERMINATEZZA NEI FONDAMENTI DELLA MATEMATICA
Two of the most influential foundational approaches in the philosophy of mathematics of the past thirty years, i.e. neologicism and ante rem mathematical structuralism, suffer from metaphysical and semantic indeterminacy. My present aim is to offer an explanation of this phenomenon and provide a solution in terms of arbitrary reference.
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