Sets and Infinite Sets. Suggestions from Cognitive Sciences
Journal title PARADIGMI
Author/s Tatiana Arrigoni
Publishing Year 2011 Issue 2011/3 Language Italian
Pages 16 P. 89-104 File size 524 KB
DOI 10.3280/PARA2011-003007
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In the history of Western thought it has been denied both that an infinite manifold of individuals could be conceived and described as a totality (i.e., as an infinite set), and that a finite manifold of individuals could be conceived and described as a unity (i.e., as a set), except in mathematics. On the contrary, in mathematical contexts, the notion of finite set is often characterized as being general, and that of infinite set as being inevitable. In this paper the author discusses this question, arguing for the generality and the inevitability of the notions at issue by using results from contemporary cognitive science.
Keywords: Cognitive science of mathematics, Finite set, Infinite set, Ontology, Philosophy of set theory, Potential infinity
Tatiana Arrigoni, Insiemi e insiemi infiniti. Spunti dalle scienze della cognizione in "PARADIGMI" 3/2011, pp 89-104, DOI: 10.3280/PARA2011-003007