A ficitionalist approach to the ontology of mathematics

Resumen

Mathematics is defined as the study and development of conceptual interpreted formal systems
that are closed by deduction. These systems are not merely syntactic in the manner of logistic
systems. They are interpreted, but their reference class is constituted by conceptual artifacts.
Mathematical constructs are human-made creations that exist solely within the context of a specific
formal system. Consequently, mathematics is devoid of any ontological import. The referents of
mathematics cannot exist independently of the human mind. The theory is consistent with any
general materialist worldview.