This is a preview. Log in through your library . Abstract In this paper, we explore the role of syntactic representations in set theory. We highlight a common inferential scheme in set theory, which ...

Synthese, Vol. 192, No. 8, Special Section on HISTORY AND PHILOSOPHY OF INFINITY (August 2015), pp. 2463-2488 (26 pages) We review different conceptions of the set-theoretic multiverse and evaluate ...

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Teaching set theory to six-year-olds as a way into mathematics, from arithmetic on, would come to be considered misguided, overcomplicating the basics and introducing jargon. Yet however radical a ...

Mathematics often helps us to think about issues that don’t seem mathematical. One area that has surprisingly far-reaching applications is the theory of sets. Sets are one of the most basic objects in ...

Set theory is a mathematical abstract concerned with the grouping of sets of numbers that have commonality. For example, all even numbers make up a set, and all odd numbers comprise a set. All numbers ...