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.