List of alternative set theories

Alternative set theories are various mathematical frameworks that diverge from the standard set theory, primarily Zermelo-Fraenkel set theory with the Axiom of Choice (ZFC). These theories often emerge to address certain philosophical issues, resolve paradoxes, or explore alternative concepts of mathematical objects. Here is a list of some notable alternative set theories: 1. **Constructive Set Theory**: This approach, which includes theories like Intuitionistic Set Theory, emphasizes constructions and computability.