Single Idea 21649

[catalogued under 6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / g. Applying mathematics]

Full Idea

Number words as singular terms seem to refer to objects; numbers words in determiner or adjectival position are tied to counting. How these objects are related to counting is what the application problem is about.

Gist of Idea

How can words be used for counting if they are objects?


Thomas Hofweber (Ontology and the Ambitions of Metaphysics [2016], 06.1.3)

Book Reference

Hofweber,Thomas: 'Ontology and the Ambitions of Metaphysics' [OUP 2018], p.160

A Reaction

You can't use stones for counting, so there must be more to numbers than the announcement that they are 'objects'. They seem to have internal relations, which makes them unusual objects.