Houjun Liu

well-founded

in set theory, well-founded means…

  1. there’s no set of all sets
  2. instead, there’s an infinite hierarchy of stratified sets
    • “small” sets at stratum \(0\)
    • the set of all stratum \(0\) sets is a stratum \(1\) set
    • the set of all stratum \(1\) sets is a stratum \(2\) set