1, mathematics is the highest creation of human reason, similar to Plato's ideal world, in which the objects are perfect. 2. Although a lot of mathematics is only the rational imagination of human beings, it often fits the world well. Many times, mathematicians have designed tools for physicists, and physicists only need to identify mathematical models to use them directly. For example, Riemannian geometry was born before Einstein's theory of relativity. 3. The so-called "error" often has three understandings, one is imaginary, the other is real, and the last is congenital. In the former, people mistakenly think that the mathematical model is perfect, which is only caused by the extreme measurement methods of human beings. For example, before the birth of the theory of relativity, people would think that the measurement of the speed of light was not accurate enough, but it was not. This "mistake" is that human beings believe in beautiful mathematical models too much. The second so-called real error is caused by the experimental accuracy. The third "mistake" comes from quantum mechanics. Because of Heisenberg's uncertainty principle, it is impossible for human beings to observe all the information accurately through experiments. For example, if the position of an example is accurately measured, its momentum cannot be accurately known. 4. What the questioner wants to ask is the second kind of "error", that is, the "error" caused by the correct mathematical model but insufficient human measurement means. This kind of mistake is not without influence. Mathematically, to solve a differential equation, we need to know the initial value. If the initial value changes slightly, the final form (property) of the solution may be very different. This is the "chaos phenomenon" in mathematics. A popular example is the legendary "butterfly effect". If human beings know the means of weather forecasting, but can't accurately know all the information of the world, it is impossible to accurately predict the weather. For example, a butterfly flapping its wings in South America may cause a big storm in Europe. In terms of measurement, this butterfly belongs to the "error" understood by the questioner for such a large amount of global information. 5. Regarding the innate "mistake", if the hypothesis of quantum mechanics is correct, then the conclusion is that God rolls the dice.

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