Alternative set theory
In a general sense, an alternative set theory is any of the alternative mathematical approaches to the concept of set and an alternative to standard set theory.
Some of the alternative set theories are: [1]
- Von Neumann–Bernays–Gödel set theory
- Morse–Kelley set theory
- Tarski–Grothendieck set theory
- Ackermann set theory
- Type theory
- New Foundations
- Positive set theory
- Internal set theory
- Naive set theory
- S (set theory)
- Kripke–Platek set theory
- Scott–Potter set theory
- Constructive set theory
- The theory of semisets (see below)
References
- Holmes, M. Randall. "Alternative Axiomatic Set Theories". Stanford Encyclopedia of Philosophy. Retrieved 17 January 2020.
- Petr Vopěnka (1979). Mathematics in the Alternative Set Theory. Leipzig: Teubner.
- Proceedings of the 1st Symposium Mathematics in the Alternative Set Theory. JSMF, Bratislava, 1989.
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