﻿ 无穷的概念与实数理论问题—数学基础中的两个基本问题

无穷的概念与实数理论问题—数学基础中的两个基本问题Questions of Concept on Infinite and Theory of Real Number—Two Fundamental Questions in Mathematical Foundations

Abstract:  The point of view of “infinite aggregate is finished object” on “actual infinity” must be eliminated. The meaning of infinite to use is has not the end. The infinity meant constant is the false infinity which have not exist in real world. The set of natural number is an ideal set which is a limit quality set and could not be end to constitute by mankind. The meaning of infinite decimal to use is the simple writing of infinite sequence. The ideal real numbers are all the limit of Cantor’s fundamental sequence. The calculation of addition, subtraction, multiplication, division is the limit property calculation.

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