English

Reflective Cardinals

Logic 2016-12-16 v5

Abstract

We introduce and axiomatize the notion of a reflective cardinal, use it to give semantics to higher order set theory, and explore connections between the notion of reflective cardinals and large cardinal axioms.

Keywords

Cite

@article{arxiv.1203.2270,
  title  = {Reflective Cardinals},
  author = {Dmytro Taranovsky},
  journal= {arXiv preprint arXiv:1203.2270},
  year   = {2016}
}

Comments

31 pages, added reflective sequences, original MathJax/html is in ancillary files

R2 v1 2026-06-21T20:32:09.311Z