Observations and abstractions.

No, the AI will not replace mathematicians or anything else. Even the best calculator requires formulas that they use. When we think about calculations and other things that computers make, we must realize that the calculations require formulas. Then the computer must make the calculations by following the mathematical orders. The order of calculations is one of the most important things in mathematics. 

Before the quantum computer or binary computer can solve the calculation, a formula is required. Without formulas the calculation is impossible. And the mathematicians make the mathematical formulas. When researchers are making models of the interactions they search the behavior of the fields around objects. 

But it's quite difficult to observe fields that are 1000 ly away from Earth. Researchers look at how materials behave in those fields. And then they try to make the formula that creates curves. Then they try to make curves that match with observations. During that process, we must realize one thing. We cannot see fields or static fields. We see changes in the field. When material delivers energy it shines. The nebulas around neutron stars shine because they deliver energy that neutron stars pump in them. 

That is the way how natural scientists work. But the world of mathematics is interesting. That world of numbers and formulas is purely virtual. The reason why we use a decimal system where ten comes after nine is that we have ten fingers. The ten (10) means that the calculator who uses fingers for calculation must change the hands. 

The number of fingers determined the value where the retake of numbers must be done. There are ten basic numbers. That can form all known numbers. And when we think about zero (0) that is empty. So ten means. The calculator must begin calculations from a new series of ten numbers. The ten means that the series of ten numbers is used. 

The AI still requires humans. Even if it's more capable than ever before. AI can be productive, it can calculate many things faster than humans. But the problem with AI is this. It doesn't have any kind of imagination. The AI collects data that matches with orders that it gets. And then. AI makes a combination of the data that it collects. 

But does the AI have imagination? When we think of abstraction and use our imagination we make simulations. But when our brains make simulations. They just collect data from different memory blocks. And then they make new model or new images from those memories. That new image might have no connection to the real world. We can imagine that we have wings and fly like birds. But in that process, we just combine humans with birds. Memories are material that the brain processes. 

The ability to think abstraction is the key to the innovation. But before innovation, we must have theoretical models. We can say that imagination is the simulation, or virtual simulation in our brain. And also the AI can create and improve its skills using simulations. The simulation is a virtual action in the computer memory. During that process, the AI simulates missions that it should transfer to robots. Those robots can turn that virtual model into real action.