It seems that the authors of this paper implicitly assume that mathematics is a thing that has consciousness (of its own mathematical situations) and agency (it is self-moving, e.g. it initiates movement in its own numbers).
They are no different to a lot of people out there who also implicitly assume that mathematics has consciousness and agency.
They seem to prefer this version of the world to the version of the world that would say that it is matter that has the consciousness and agency, NOT the mathematics.
I.e. it is matter that has consciousness (of its own mathematical situations); and it is matter that has agency (matter is self-moving, e.g. matter initiates its own number jumps, which has a flow-on effect due to the law-of-nature mathematical relationships).
