• Corpus ID: 55769713

Large Cardinals and the Iterative Conception of Set

  title={Large Cardinals and the Iterative Conception of Set},
  author={Neil Barton},
The independence phenomenon in set theory, while pervasive, can be partially addressed through the use of large cardinal axioms. A commonly assumed idea is that large cardinal axioms are species of maximality principles for the iterative conception, and assert that the length of the iterative stages is as long as possible. In this paper, we argue that whether or not large cardinal principles count as maximality principles depends on prior commitments concerning the richness of the subset… 
1 Citations

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  • A. Pruss
  • Philosophy
    Australasian Journal of Philosophy
  • 2019
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