Central and East European
Society for Phenomenology

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235607

What are numbers?

Joongol Kim

pp. 1099-1112

Abstract

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.

Publication details

Published in:

(2013) Synthese 190 (6).

Pages: 1099-1112

DOI: 10.1007/s11229-011-9883-y

Full citation:

Kim Joongol (2013) „What are numbers?“. Synthese 190 (6), 1099–1112.