The theory of contradiction is a derivative and even a deduction of the basis of the transformation of yin and yang. Hoping to sweep away dogmatic ideas is actually a profound insight into the high-dimensional transformations of its mathematical form.

In a general sense, opposing opinions are a natural differentiation of the views of the population, so that, according to Brouwer's principle of fixed points, it is inevitable that we humans will always make correct judgments in a statistical sense. And this judgment will be more alive than other theories, so that it can be like the rule revealed by Darwin, "natural selection, survival of the fittest". At the same time, those doctrines that are considered wrong are not worthless, and this is the price that human beings must pay in the search for natural truths. And because of the limitations of each era, even theories that were considered wrong at the time may have new interpretations in later generations. The most obvious example is the application of Lamarckism to epigenetics today.

I have always wanted to truly understand this primitive and naïve materialist dialectic of the transformation of yin and yang. And in order to be understood in the true sense, it must be mathematically formalized. And Nash's game theory inspired me a lot.

These opposing views can be seen as a game, in which both sides have evidence that supports their own point of view, and at the same time there is evidence that does not support the other's point of view. Because of the inevitable existence of the Nash equilibrium, we can integrate the Rayleigh-Kings formula with the Wien formula like the quantum assumption in Planck's formula. The final equilibrium is not necessarily absolutely correct on the scale of time, but it is the optimal solution relative to the current social environment, that is, it has relative correctness. As for the simple logical judgment of either/or, it is only true at the most basic level, such as the quantum level, and the periodicity of various views in reality is based on the relative results of their relative environment, that is, there is no naturally correct viewpoint. But this sentence itself is a contradiction. This self-referential is bound to lead to paradoxes, such as Russell's barber paradox. At this stage, we can only regard it as a basic assumption, as an anchor point between theory and reality, which is actually a kind of game equilibrium, and it is a compromise of ideals. This is to avoid falling into the dilemma of being in the mystical realm of the Tao, but we cannot make a certain explanation and transformation of the world, so we can only use a broken system to explain the world. For example, Gödel's completeness and compatibility competitive game makes a system incomplete if it is compatible. In the same way, if we want to explain a thing completely, we need to describe it in contradictory language, i.e., A and non-A, which makes no sense in the lower dimensions.

Therefore, in order to make a meaningful interpretation of the world, we need to accept the assumption of imperfection, which explains to some extent the position of people who hold different views, and there is no contradiction between the absence of a naturally correct view and a certain point of view.

This mathematical understanding of modeling is a simplification, a description of something in lower dimensions, which can be temporarily seen as isolated, static, and one-sided views, which are the basis of our understanding of things. The next step is to add new dimensions to the system so that it can finally explain the real world to some extent.

Here we propose a fractal view of space-time. The levels at different scales have a certain similarity, and this similarity allows the layers to be coupled into a whole. Moreover, according to certain topological invariants, a specific level can be expressed as the result of selective expression at different levels. This can be proved by constructing different equivalent matrices, which can then correspond to a certain state like a Gödel number. However, this kind of high-dimensional and topological invariant is a temporary invariant relative to the environment, which is regarded as invariant in a specific spatiotemporal range, and will still change in a larger spatiotemporal range. In this concept, we draw certain boundaries.

Moreover, its relatively static structure and dynamic movement are coupled and interacting, that is, there is a certain trend of competitive game and even equilibrium formation within and between levels. This can explain to some extent the yin-yang transition, that is, the transformation of different qualities. This is equivalent to the materialist dialectics of studying the relationship between different things, where the contradiction is represented as a game in mathematics to construct a mapping between different spaces, and the achievement of equilibrium is a description of real things.

The connection of any thing is probabilistic, the combination of different things can be expressed as a certain matrix, and finally after a certain transformation, we can obtain a certain eigenvalue, that is, to construct a relatively certain relationship between different things. Therefore, we believe that the development of the world is probabilistic, and that different conditions may be expressed in the same way, which is related to probability. Of course, at the macro level of statistics, we can still see a certain trend, just as the physical entropy increase is a trend, and there will also be a certain resistance to change. Just like in war, the strong will always be better than the weak, this is the overall trend. The so-called examples of the victory of the weak over the strong are actually local examples of the strong defeating the weak, and finally the overall performance is like the victory of the weak over the strong.

The universality and particularity of contradiction are coupled structures, which are both relative concepts, and can only have their special properties in a certain background environment. This is a manifestation of the fractal view of time and space: contradictions exist in the development process of all things, and there is a contradictory movement from beginning to end in the development process of every thing. All levels are in a constant game in order to maintain a certain stability in the interaction of the environment. If we look at it from a relatively high-dimensional perspective, we will find that this multi-level competitive game has a certain periodicity.

The interdependent and contradictory relationship can be expressed as the transformation of different forms of the matrix, which is reflected in the development and change of various things in the world. It should be noted that the direction of the individual level is random, but there will be a more definite direction at the overall level, which is the result of interaction with the larger spatiotemporal background.

The existence of the main contradiction can be regarded as the intrinsic nature of the matrix, and the treatment of the intrinsic can have a relatively large probability of affecting the properties of the matrix as a whole. However, in order to play a more definite role, it is necessary to grasp the main contradiction, that is, the essence, and also to deal with the secondary contradiction with a certain degree of similarity in the intrinsic nature. In this way, the overall change can be less drastic and the transition can be better and calm. Because the concept of eigens is a mathematical treatment, we are confident in its existence, but its exact form of existence is uncertain.

Everything in the world can be represented as a high-dimensional structure formed by multi-level coupling, and its levels have a certain degree of relativity, not only can a specific level be expressed as a selective expression of other levels, but also the role of specific levels also needs to be based on other levels as a background. It can be said that contradictions are like violent collisions between atoms, which are irreversible trends, and these local properties can be reflected at the statistical level in terms of temperature and other properties.

The Nash equilibrium of the game can be multiple in a specific environment, and its degree of transformation is equivalent to the equilibrium constant of a reversible reaction like chemistry.

On the basis of the ****** theory of contradiction, we introduce certain mathematics to make our own deductions, so that it can have a greater role, from general speculation to a mathematical model that can be calculated, and truly achieve specific analysis of specific problems.