Ontological mathematics is the rational core of Hyperianism. It's the science of the future that proves the shocking truth that the world is not material but a collective dream, that so-called "matter" is an illusion, and the ultimate reality is a domain of pure mind. ...
What is math ontology?
Ontology of mathematics is concerned with the existence and nature of objects that mathematics is about. An important phenomenon in the field is the need of balancing between epistemological and ontological challenges. ... The ontologically parsimonious alternative is to deny the existence of such objects.
How many ontologies are there?
In his Categories, Aristotle (384–322 BCE) identifies ten possible kinds of things that may be the subject or the predicate of a proposition. For Aristotle there are four different ontological dimensions: according to the various categories or ways of addressing a being as such.