In search of $$aleph _{0}$$
        
         
          
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Pantsar Markus

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(2015) Synthese 192 (8).

In search of $$aleph _{0}$$ ℵ 0

how infinity can be created

Markus Pantsar

pp. 2489-2511

In this paper I develop a philosophical account of actual mathematical infinity that does not demand ontologically or epistemologically problematic assumptions. The account is based on a simple metaphor in which we think of indefinitely continuing processes as defining objects. It is shown that such a metaphor is valid in terms of mathematical practice, as well as in line with empirical data on arithmetical cognition.

Publication details

DOI: 10.1007/s11229-015-0775-4

Full citation:

Pantsar, M. (2015). In search of $$aleph _{0}$$ ℵ 0: how infinity can be created. Synthese 192 (8), pp. 2489-2511.

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