Mathematics is first of all the knowledge of counting, which is the superficial skill of mathematics introduction, the four operations of addition, subtraction, multiplication and division, the organization of finite and discrete things in the world, and the counting and measurement of arithmetic level.
Secondly, mathematics is the cognition and arrangement of continuity and dimension, elementary algebra and elementary geometry, and the description and assembly of the continuous structure of a stable world.
Furthermore, mathematics is a method to solve the contradiction between the independent certainty of quantifiable numbers and the continuous rheology of the objective world itself, that is, advanced mathematics (advanced calculus topology, etc. At this time, mathematics is still mathematics, but from the perspective of the quantitative distribution framework of fractions with different dimensions or even infinite dimensions, it is no longer a self-defined number with zero dimensions in essence. In essence, it is to analyze how zero dimension changes the final structure in any organizational dimension. It is no longer the cognitive knowledge of counting, but the wisdom theory of calculating counting methods, which has since entered the scientific door of deconstructing the world.
The above is what we humans call mathematics, so is it the highest place for intelligent creatures to play abstract symbol games? The answer is no! Because all our numbers only cover the structural properties of concrete objects in the world with infinite awareness, but they cannot include the reasons for the change itself and the infinitely concrete difference attributes presented by the change. In fact, in the super-intelligent mind of the universe, many people are not born, that is to say, the abstract symbol system that can really be used to deconstruct everything in the universe is Taiji 1, Yin and Yang 2 (divided into two), and then divided into three, divided into four, five, six, seven and infinite Tianyuan. Use this system to correspond to the evolution and biochemistry of the world, because changes must be based on invariance, and this unchangeable part keeps all the characteristics of numbers in the biochemical world. This part is the basis of our concept of number. At least we have established a science that the great cosmologists in the universe despise. It is called algebraic cosmology. But the real cosmology is said to be Tianyuan symbolic cosmology. Of course, it is still inseparable from the calculation of numbers, but the concept of measurement numbers should also be changed. Perhaps we should pay more attention to the reorganization of mathematical operations from irrational numbers with convergence and encirclement as the measurement units, so as to enter the accurate deconstruction of the real world more conveniently.
Mathematics is a combinatorial theory, which analyzes the concrete combinatorial structure of any organization from one to finite and then to infinite, and from separation to continuous combination. Conversely, since it contains infinity, there are bound to be endless problems to be discovered. If most of us don't even talk about where to enter the highest level of mathematics, why should our people make due contributions to the intellectual progress of mankind?