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What are numbers?

机译:什么是数字?

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摘要

This paper argues that (cardinal) numbers are originally given to us in the context 'Fs exist n-wise', and accordingly, numbers are certain manners or modes of existence, by addressing two objections both of which are due to Frege. First, the so-called Caesar objection will be answered by explaining exactly what kind of manner or mode numbers are. And then what we shall call the Functionality of Cardinality objection will be answered by establishing the fact that for any numbers m and n, if there are exactly m Fs and also there are exactly n Fs, then m = n.
机译:本文认为,(基数)数字最初是在“ Fs以n方式存在”的情况下给出的,因此,通过解决两个都是弗雷格引起的反对意见,数字是某种存在的方式或方式。首先,将通过确切解释哪种方式或方式编号来回答所谓的凯撒异议。然后我们将通过建立以下事实来回答我们所谓的基数功能反对性:对于任何数字m和n,如果正好有m Fs,也正好有n Fs,则m = n。

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