Single Idea 9897

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

Full Idea

The application of a system of numbers is counting and measurement.

Gist of Idea

The application of a system of numbers is counting and measurement

Source

Paul Benacerraf (What Numbers Could Not Be [1965], I)

Book Reference

'Philosophy of Mathematics: readings (2nd)', ed/tr. Benacerraf/Putnam [CUP 1983], p.274


A Reaction

A simple point, but it needs spelling out. Counting seems prior, in experience if not in logic. Measuring is a luxury you find you can indulge in (by imagining your quantity) split into parts, once you have mastered counting.