Abstract
Some reasons to regard the cumulative hierarchy of sets as potential rather than actual are discussed. Motivated by this, a modal set theory is developed which encapsulates this potentialist conception. The resulting theory is equi-interpretable with Zermelo Fraenkel set theory but sheds new light on the set-theoretic paradoxes and the foundations of set theory.
| Original language | English |
|---|---|
| Pages (from-to) | 205-228 |
| Number of pages | 24 |
| Journal | Review of Symbolic Logic |
| Volume | 6 |
| Issue number | 2 |
| Early online date | 14 Mar 2013 |
| DOIs | |
| Publication status | Published - Jun 2013 |