I live and work with numbers almost all the time and have done so for most of my 77 years. I can almost feel them. But it is only almost. I have to believe, contra Plato, that they and moreover all of mathematics is unreal in a metaphysical sense. They are not something "out there that we will stumble over." What we see when we say we see numbers in the wild is our translation of what is into a mathematical idea.
My feeling is that Mathematics is an outstanding instrument for constructing models of aspects of the real world. We started with counting and have gone on to particle physics, astrophysics, biostatistics, and even models of mathematics itself.
1) Are there any problems with assuming that numbers and all of Math is not metaphysically real?
2) Are there any problems with assuming that numbers and all of Math are just models of the real world??