【摘要】 从现实角度讨论自然数集扩充的意义 .从历史角度研究自然数的公理化定义 ,自然数集扩充后基数、序数理论的变化 .探讨自然数集扩充后的宣传和教学更多还原

【Abstract】 The meaning of the coll ected and expanded natural number from the realistie angle and the defin ition of the acknow ledged truth of natural number and the changes of cardinal n umber and ordinal number theory of collected and expanded from the historical an gle natural number is studied.Then it probes into the propaganda and teaching of the collected and expanded natural number.更多还原