Repository | Journal | Volume | Articles
(2015) Synthese 192 (8).
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.
This document is unfortunately not available for download at the moment.