论Ⅰ、Ⅱ型数学归纳原理及良序原理之间的逻辑关系  

On the Logical Relation between the First as well as the Second Principle of Mathematical Induction and the Well-Ordering Principle

作　　者：黄崇智[1] 

机构地区：[1]内江师范学院数学系,四川内江641112

出　　处：《内江师范学院学报》2003年第6期59-64,共6页Journal of Neijiang Normal University

摘　　要：本文包含两个部份。其一详论在一定条件下,Ⅰ、Ⅱ型数学归纳原理及良序原理之间的逻辑关系:另一则提供一个关于自然数集N的公理并论证它与Peano公理系统的等价性。This paper consists of two parts. One of them deals detailedly with the logical relation between the principle of mathematical induction (type I sa well as type I )and the well-ordering principle under a certain condition and the other introduces an axiom concerning the natural numbers and demonstrates the equivalence between it and the system of Peano axioms.

关 键 词：数学归纳原理 良序原理 全序整环 全序集 Peano公理 代数运算 

分 类 号：O14[理学—数学]