What is the theory ZFC without power set?
We show that the theory ZFC, consisting of the usual axioms of ZFC but with the power set axiom removed—specifically axiomatized by extensionality, foundation, pairing, union, infinity, separation, replacement and the assertion that every set can be well-ordered—is weaker than commonly supposed and...
Үндсэн зохиолчид: | Gitman, V, Hamkins, J, Johnstone, T |
---|---|
Формат: | Journal article |
Хэл сонгох: | English |
Хэвлэсэн: |
Wiley
2016
|
Ижил төстэй зүйлс
Ижил төстэй зүйлс
-
ZFC proves that the class of ordinals is not weakly compact for definable classes
-н: Enayat, A, зэрэг
Хэвлэсэн: (2018) -
Small sets in convex geometry and formal independence over ZFC
-н: Menachem Kojman
Хэвлэсэн: (2005-01-01) -
Topology and models of ZFC at early Universe
-н: Jerzy Król, зэрэг
Хэвлэсэн: (2019-07-01) -
A Generic Model in Which the Russell-Nontypical Sets Satisfy ZFC Strictly between HOD and the Universe
-н: Vladimir Kanovei, зэрэг
Хэвлэсэн: (2022-02-01) -
Optimization of the Guiding Stability of a Horizontal Axis HTS ZFC Radial Levitation Bearing
-н: António J. Arsénio, зэрэг
Хэвлэсэн: (2021-11-01)