Full Idea
The Löwenheim-Skolem-Tarski theorem demonstrates a serious limitation of first-order logic, and is one of primary reasons for considering stronger logics.
Gist of Idea
The LST Theorem is a serious limitation of first-order logic
Source
Robert S. Wolf (A Tour through Mathematical Logic [2005], 5.7)
Book Reference
Wolf,Robert S.: 'A Tour Through Mathematical Logic' [Carus Maths Monographs 2005], p.224