关于数学基础的新的认识之无限与有限

用全新的思考将正实数分为有限部分和无限部分,给出了有限部分的边界和无限部分的一些性质,利用无限部分的无限小与无限大的性质判断正项级数的收敛性及重新定义了极限的定义;根据几个假设得到了无限部分的证明;把实数量化了,使得函数的运算变得更为灵活;给出了函数的另一种新的表达形式。

New Knowledge about the Mathematical Basis of Finite and Infinite

With new thinking real number is divided into finite and infinite. The boundary of finite portion and some properties of infinite are offered in this paper. Using the part of the infinitely small and infinitely large determine the nature of the convergence of positive series redefines the limits and definitions. Several assumptions are the proof of infinite. The real number was quantified, the function is more flexible; a new form of expression of function is given.