Full Idea
The relativization of ontology to theory in structuralism can't avoid carrying with it a relativization of truth-value, which would compromise the objectivity which structuralists wish to claim for mathematics.
Gist of Idea
If structures are relative, this undermines truth-value and objectivity
Source
B Hale / C Wright (Intro to 'The Reason's Proper Study' [2001], 3.2 n26)
Book Reference
Hale,B/Wright,C: 'The Reason's Proper Study' [OUP 2003], p.15
A Reaction
This is the attraction of structures which grow out of the physical world, where truth-value is presumably not in dispute.