more from E Reck / M Price

### Single Idea 10177

#### [catalogued under 6. Mathematics / B. Foundations for Mathematics / 7. Mathematical Structuralism / d. Platonist structuralism]

Full Idea

Universalist Structuralism is eliminativist about abstract objects, in a distinctive form. Instead of treating the base element (say '1') as an ambiguous referring expression (the Relativist approach), it is a variable which is quantified out.

Gist of Idea

Universalist Structuralism eliminates the base element, as a variable, which is then quantified out

Source

E Reck / M Price (Structures and Structuralism in Phil of Maths [2000], §5)

A Reaction

I am a temperamental eliminativist on this front (and most others) so this is tempting. I am also in love with the concept of a 'variable', which I take to be utterly fundamental to all conceptual thought, even in animals, and not just a trick of algebra.