A question that is completely beyond all the capabilities of Mathematics
In the vast universe, the capabilities of mathematics are limited. Some problems are far beyond the capabilities of mathematics.
I used to think about this question: what is the M digit after the N decimal point?
Obviously, this is definite, for example, for the circumference rate of 3.1415926 ......, Given a fixed m, it must be a fixed value V. V is completely determined by m to form a functional relationship.
So for any number N, the next M bit is also determined, set to V, there is a function relation v = f (n, m), then how does this f represent?
Recently suddenly thought, this is actually a NP-HARD problem! That is to say, writing the formula F is longer than a galaxy, longer than the diameter of the universe, and infinitely long, cannot describe this function relationship. This formula is beyond the descriptive ability of mathematics and beyond the descriptive ability of all languages. However, this formula exists! It is a form beyond mathematics.
I come to this conclusion from the Information Theory point of view. This formula must contain all digital information, which is as large as the sum of all information in the universe. Therefore, it cannot be described by a handful of infinite characters.
A century ago, Pang galai, a mathematician, said that the world is definite, but it cannot be computed.
Yes, each digit of N is also definite, but it cannot be calculated.
So who determines the number of each digit?