基本解释：公理化集合论
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It has proved that well sets completely satisfy all axioms of ZFC -(the classical system of axiomatic set theory ZFC without the regular axiom).在中介公理集合论系统（ＭＳ）中重新定义了良集的概念，讨论了它的性质。
Secondly, by using of the medium axiomatic set theory (MS), a natural number system in MS is constructed, and it is proved that five axioms of Peano′s natural number system are theorems is MS.其次，利用中介公理集合论ＭＳ的相关理论，构造了ＭＳ中的自然数系统，证明了Ｐｅａｎｏ５条公理为ＭＳ中的定理。
It is well known that first-order logic and axiom set theory are two part of the whole mathematical logic.众所周知,一阶逻辑与公理集合论是数理逻辑的两个组成部分,其中,一阶逻辑是数理逻辑的基础部分。
Defines the concept of well sets in MS(axiomatic medium set theory) and discusses its characters.在中介公理集合论系统（ＭＳ）中重新定义了良集的概念，讨论了它的性质。
