Abstract
In modern mathematics, geometric and algebraic properties of space can be applied by calculus in which the concept of gradually increasings of dimensions is existence (such as zero-dimension, one-dimension, two-dimension, and three-dimension, etc). However, this is not fact because some new concepts have been put forward in this paper where there is only a concept of infinitely great that is one quantitative continuum implied by the change of direction. The accurate description of this one quantitative continuum is that its parts are connected each other as a unity at the infinite distance (infinitely great) relative to any orientation (all orientations) of our existence. It is unity in which its random parts are these infinitely great quantities and thus we call this unity as infinite quantities of infinite dimensions.
Highlights
The dimension of space is the core of modern mathematics
The accurate description of this one quantitative continuum is that its parts are connected each other as a unity at the infinite distance relative to any orientation of our existence
It is unity in which its random parts are these infinitely great quantities and we call this unity as infinite quantities of infinite dimensions
Summary
The dimension of space is the core of modern mathematics. In modern mathematics, the parts of space are characterized by points (singularity), lines, planes, surfaces of higher dimensions, etc., which correspond to zero-, one-, two-, higher-dimensions, and so on. Being different from the concept of gradually increasings of dimension in modern mathematics, such as zero-dimension, one-dimension, two-dimension, and three-dimension, and so on, there is only a concept of infinitely great that is an one quantitative continuum in Axiom 3, in which its parts are connected each other as a unity at the infinite distance (infinitely great), and we call this unity as infinite quantities of infinite dimensions.
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