more from Edwin D. Mares

### Single Idea 17715

#### [catalogued under 6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / a. Axioms for numbers]

Full Idea

The epistemological burden of showing that the axioms are true is removed if we are only studying pure mathematics. If, however, we want to look at applied mathematics, then this burden returns.

Gist of Idea

The truth of the axioms doesn't matter for pure mathematics, but it does for applied

Source

Edwin D. Mares (A Priori [2011], 11.4)

Book Reference

Mares,Edwin: 'A Priori' [Acumen 2011], p.178

A Reaction

One of those really simple ideas that hits the spot. Nice. The most advanced applied mathematics must rest on counting and measuring.