In (Journal of Philosophical Logic, 2: 458508, 1973), George Lakoff proposes a fuzzy semantics for the non-scalar hedges *technically, strictly speaking, and loosely speaking*. These hedges are able to modify the meaning of a predicate. However, Lakoffs proposal is problematic. For example, his semantics only contains interpretations for hedged predicates using semantic information provided by selection functions. What kind of information these functions should provide for non-hedged predicates remains unspecified. This paper presents a solution for this deficit and other problems by means of a generic first-order fuzzy logic **FL**_{h} . A wide range of fuzzy logics can be used as a basis for **FL**_{h} . Next to a fully specified semantics, this solution also incorporates a proof theory for reasoning with these hedges. **FL**_{h} makes use of a special set of selection functions. These functions collect the kind of information a reasoner can retrieve from concepts in his or her memory when interpreting a (non-)hedged predicate. Despite this non-standard element, **FL**_{h} remains a conservative modification of its underlying fuzzy logic.