What is the infinite?

The Philosophers' Magazine 61:42-47 (2013)
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Abstract

The paper discusses some different conceptions of the infinity, from Aristotle to Georg Cantor (1845-1918) and beyond. The ancient distinction between actual and potential infinity is explained, along with some arguments against the possibility of actually infinite collections. These arguments were eventually rejected by most philosophers and mathematicians as a result of Cantor’s elegant and successful theory of actually infinite collections.

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Øystein Linnebo
University of Oslo

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