Why does the brain use neural networks for solving different tasks? I wonder. Are there more advantages to this. Other than that we need to learn first.

From this I wonder what would happen if you let a machine learning setup learn different mathematical operators. Like addition, subtraction, multiplication and division. Using several different neural network setups.

The simple addition should then be expanded into a larger matrix of learned weights. Similarly for other functions or operators.

What I then suspect is that you can record what happens in the neural network setup when doing calculations. This recording I imagine is similar to the feeling we as humans get when we do calculations.

From this idea you get something of a new field. Feeling based mathematics. Here you can probably solve different tasks better with feelings as help data.