Full Idea
Structuralism is able to explain why mathematicians are typically only interested in describing the objects they study up to isomorphism - for that is all there is to describe.
Gist of Idea
Structuralism say only 'up to isomorphism' matters because that is all there is to it
Source
Mark Colyvan (Introduction to the Philosophy of Mathematics [2012], 3.1.2)
Book Reference
Colyvan,Mark: 'An Introduction to the Philosophy of Mathematics' [CUP 2012], p.40
Related Idea
Idea 17930 Axioms are 'categorical' if all of their models are isomorphic [Colyvan]