Remember kids, just because we model certain physical phenomenon using mathematics does not equate it to mathematics; it is still only a model, not the phenomenon itself nor does it fully represents all know physical properties of it.
one of the most euphoric discoveries in my life was the realization that language is a type of linear algebra (Word Embeddings)
every dog is a vector in the "dog" vector space where each of the N components of the vector is a measurable value: hair color, weight, geometry, etc