Full Idea
I wish to explore the idea that mathematics is the formal study of the categorical dimensions of things.
Gist of Idea
Mathematics is the formal study of the categorical dimensions of things
Source
Brian Ellis (The Metaphysics of Scientific Realism [2009], 6)
Book Reference
Ellis,Brian: 'The Metaphysics of Scientific Realism' [Acument 2009], p.117
A Reaction
Categorical dimensions are spatiotemporal relations and other non-causal properties. Ellis defends categorical properties as an aspect of science. The obvious connection seems to be with structuralism in mathematics. Shapiro is sympathetic.