more from Michael Jubien

Single Idea 9962

[catalogued under 6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism]

Full Idea

I am unable to see how the mere existence of pure abstract entities enables us to concoct appropriate models to serve as interpretations.

Gist of Idea

How can pure abstract entities give models to serve as interpretations?


Michael Jubien (Ontology and Mathematical Truth [1977], p.111)

Book Reference

'Philosophy of Mathematics: anthology', ed/tr. Jacquette,Dale [Blackwell 2002], p.111

A Reaction

Nice question. It is always assumed that once we have platonic realm, that everything else follows. Even if we are able to grasp the objects, despite their causal inertness, we still have to discern innumerable relations between them.