Why weighted sum is called Archimedean sum?

I study goal programming. And one of the way to solve multi-objective problem is to reduce several objectives to the weighted sum $$ a_1f_1(x) + a_2 f_2(x) + \dots + a_n f_n(x) \to \min $$ where $a_i \geq 0$. This sum is called Archimedean sum in weighted goal programming. Why?

It's about the physical intuition regarding leverage. The higher weight something has the more influence it has.

Archimedes' work On the Equilibrium of Planes (Greek: Περὶ ἐπιπέδων ἱσορροπιῶν) was one of the early works formalizing a mathematical treatment of an ideal lever, although people in various parts of the world "knew" about this before the publication of that book.