“无穷大”及其相关事实浅析

本文基于无穷大和无穷小的数学定义,通过x→∞,1/x→0的逻辑分析,指出将趋于无穷大定义为无穷大存在逻辑严密性不高的问题。通过对导数与广义导数、概率、希尔伯特无穷旅馆问题的分析,指出它们无不涉及0、无穷小和无穷大,有重要的逻辑关联性。通过对极值收敛性、0与负值的关系等问题的讨论,阐述了0、无穷大与宇宙的内在关系,指出无穷大与0等价,是宇宙存在的状态。

Comment on Infinity and its Relevant Facts

This article pointed out that defining ＂approaching infinity＂ as ＂infinity＂ has a problem on logic rigidity,based on the mathematics definitions of infinity and infinitesimal,and the logic analysis on x→∞ and 1/x→0.In the analysis of derivative and the generalized derivative,the probability,and the Hilbert infinite hotel question,it is found that they all relate with 0,the infinitesimal and the infinity,which have an important logical correlation.We discussed the relation among extremum convergence,0 and negative value,and described the intrinsic relation among 0,the infinity and the universe.The infinity is equivalent to 0,and is the existence status of the universe.