Introduction¶
Sets and Classes¶
简单介绍了一点最基础的集合论,采用的体系是 NBG 公理。
依靠公理性基本概念(primitive notions),即 class, membership, equality 和一阶谓词演算(the first-order predicate calculus)加以描述。
外延公理(the axiom of extensionality)和类构造公理(the axiom of class formation)。
集合(set):A class \(A\) is defined to be a set if and only if there exists a class \(B\) such that \(A \in B\).
Proper class: A class that is not a set.