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Collapse, Plurals and Sets
2014
Principia: An International Journal of Epistemology
This paper raises the question under what circumstances a plurality forms a set. My main point is that not always all things form sets. A provocative way of presenting my position is that, as a result of my approach, there are more pluralities than sets. Another way of presenting the same thesis claims that there are ways of talking about objects that do not always collapse into sets. My argument is related to expressive powers of formal languages. Assuming classical logic, I show that if all
doi:10.5007/1808-1711.2014v18n3p419
fatcat:m7ykn33ukzcwvb7peclgi36dfm