Categorical Ontology

Categorical ontology is the field of inquiry in which the Panta Rhei Research Program situates τ-Theory.

It studies being through the relational structures by which entities, processes, contexts, transformations, and invariants become intelligible together.

It is called ontology because it remains bound to the question of being: what is, what it means for something to be, and how reality can be spoken without dissolving into mere appearance, convention, or formal game.

It is called categorical in two senses. First, it inherits the ancient demand that being must be articulated: not all uses of “is” carry the same burden. Second, it inherits the modern mathematical insight that objects are often understood most faithfully through morphisms, transformations, contexts, gluing conditions, and universal properties.

Categorical ontology does not say that ontology is simply category theory. It asks whether the question of being can be articulated through relation, transformation, context, and coherence without hiding decisive work in an unexamined background.

For the historical and philosophical orientation behind this field, see Standing in the Inquiry of Being: Lineages of Categorical Ontology.

Program terms

What this page does not claim

This page does not claim that categorical ontology validates τ-Theory. It defines the field of inquiry in which τ-Theory is currently being developed and points to the charter essay for the historical orientation behind that field.