INDIVIDUALITY AND CARDINALITY

Authors

  • Jonas Rafael Becker Arenhardt (UFSC) PUCRS/Brasil

Abstract

In this paper we present a definition of counting alternative to the usual one. As it is usually defined, to count the members of a collection means to determine a one-to-one function between this collection and the collection of predecessors of a numeral n, which is by definition the cardinal of the collection. Generally, it is considered that individuals must be able to belong to collections that can be counted, and also, if something can be the element of a collection that can be counted, than it must be an individual. Our definition is formulated in a quasi-set theory, which allows that the objects of the collection being counted according to our method represent non-individuals, breaking thus the link which is usually drawn between these notions, and allowing us to make sense of statements involving cardinality of objects that are not individuals. KEY WORDS: Counting. Non-individuals. Quasi-sets.

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Published

2009-10-13

How to Cite

Arenhardt (UFSC), J. R. B. (2009). INDIVIDUALITY AND CARDINALITY. Intuitio, 2(2), 68–74. Retrieved from https://revistaseletronicas.pucrs.br/intuitio/article/view/5939

Issue

Vol. 2 No. 2 (2009)

Section

Articles

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