Full Idea
There is an annoying double-use of 'complete': a logic may be semantically complete, but there may be an incomplete theory expressed in it.
Gist of Idea
'Complete' applies both to whole logics, and to theories within them
Source
Peter Smith (Intro to Gödel's Theorems [2007], 03.4)
Book Reference
Smith,Peter: 'An Introduction to Gödel's Theorems' [CUP 2007], p.25