What are numbers?

نویسنده

  • Joongol Kim
چکیده

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.

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عنوان ژورنال:
  • Synthese

دوره 190  شماره 

صفحات  -

تاریخ انتشار 2013