a function that grows so much that you can make

[zakiyatasnim]

Denis Dovgopoly: In fact, I often discussed the Singularity Theory with my counterparts in Silicon Valley. And many people are of the opinion that this singularity is visible from here as a singularity, and from the other side it will be visible as some kind of stages. That is, if we look at the beginning of the 20th century, then there was also a singularity, and people thought that sooner or later the number of horses in the world would reach a critical mass and there would be nowhere to develop further.

Alexander Olshansky: Well, yes, this is a classic. Calculations were made of the maximum size of cities. That is, there was a theory that no city can be larger than one million residents because there is a completely luxembourg number data precise mathematical formula that describes the transport collapse associated with the removal of manure. This is not a joke. There was such a theory at the beginning of the 20th century. But here I will still defend Kapitsa and say that the problem here is much deeper than with the removal of manure. The fact is that the foundation of the theory is completely different values, completely different numbers. The idea is very simple. It lies in the fact that there are some processes with which we are directly connected and which are described by a function growing faster than the exponential. One of such processes is population growth. That is, the growth of the planet's population is described by a function that grows faster than the exponential. And the exponential isan error of 5-10 years, but the fact is obvious that a trillion people cannot live on Earth. So what was Kapitsa's main idea?

Denis Dovgopoly: Sasha, we talked about technological singularity.

The thing is that all these timeframes actually converge to one figure. Why? Because we are talking about several processes that are described by exponential or up-exponential functions. If we take the population, it has grown hyperbolically (1/x) over the last 50,000 years, but this is something we know, something we can track. If we take, for example, the size of a transistor in a microprocessor, we can track it since 1972, and it also falls exponentially, while its density grows exponentially. But the point is that there are several processes that converge to one point. You can come to this conclusion from a technological point of view, and you can come to it from the point of view of population growth. But there are several processes that, approximately between 2045 and 2075, will reach some figures that are not real. This is what the theory of singularity in my understanding is based on and it says that during this period of time something should change radically, but what exactly we do not know now, so we say that this is a singularity.