【摘要】 《中华人民共和国国家标准·物理科学和技术中使用的数学符号 (GB310 2 .11$C93)》对表示自然数集的符号N作出新的规定 :N ={ 0 ,1,2 ,… } ,即 0也是自然数。对于以Peano自然数公理系统为基础的《数系理论》课程 ,本文对于在新自然数体系下如何建立与之相应的自然数公理系统及其有关性质进行了比较全面的讨论 ,并在教学上作出了一些有益的探索。更多还原

【Abstract】 A new prescription of the sign n for the set of natural numbers is given in "Mathematical Signs and Symbols for Use in the Physical Sciences and Technology(GB3120,11 93)"in the National Standard of People′s Republic of China;N={0,1,2,...} i.e.O is a natural number.Discussions are conducted on the course based on the peano axiom system of natural numbers.The paper deals comprehensively with the setcing up of the corresponding axiom system of natural numbers and its relatecl characteristics.Besides,some useful probes have been made in the teaching.更多还原