Dear Luis Patiño-Cuadrado,
On my page you asked that I read your essay. And asked if I thought math was the symbols. I replied that I haven't spent much time trying to define math, but that I generally think the symbols formalize the underlying relations. If you read my essay, you know that I understand math as deriving from physical reality, not the other way around. In my end notes I discuss how counters create numbers, and, per Kronecker, all of math follows.
I generally view math as "the language of nature", but languages can describe reality or present fictions. I believe that Mandelbrot is elaborate fiction. Beautiful, stunning, but probably related to nothing in reality except the images we create physically.
As you appear to note, counting is everywhere, from DNA to cells to computers to animals. Counters are easy to construct, and are ubiquitous. Numbers can be mapped into and onto all physical realities, and even non-physical such as Mandelbrot.
I dearly love mathematics, but I am not a Platonist.
There is no harm that I'm aware of in being the Platonist, so you should probably just enjoy it.
My best regards,
Edwin Eugene Klingman