Iteration One More Time

@article{Cook2003IterationOM,
  title={Iteration One More Time},
  author={R. Cook},
  journal={Notre Dame J. Formal Log.},
  year={2003},
  volume={44},
  pages={63-92}
}
  • R. Cook
  • Published 2003
  • Mathematics, Computer Science
  • Notre Dame J. Formal Log.
A neologicist set theory based on an abstraction principle (NewerV) codifying the iterative conception of set is investigated, and its strength is compared to Boolos's NewV. The new principle, unlike NewV, fails to imply the axiom of replacement, but does secure powerset. Like NewV, however, it also fails to entail the axiom of infinity. A set theory based on the conjunction of these two principles is then examined. It turns out that this set theory, supplemented by a principle stating that… Expand
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