Full Idea
Informally, logical consequence is sometimes defined in terms of the meanings of a certain collection of terms, the so-called 'logical terminology'.
Gist of Idea
Logical consequence can be defined in terms of the logical terminology
Source
Stewart Shapiro (Higher-Order Logic [2001], 2.4)
Book Reference
'Blackwell Guide to Philosophical Logic', ed/tr. Goble,Lou [Blackwell 2001], p.51
A Reaction
This seems to be a compositional account, where we build a full account from an account of the atomic bits, perhaps presented as truth-tables.