Full Idea
While Fine suggests defining a narrow notion of logical necessity in terms of metaphysical necessity by 'restriction' (to logical truths that can be defined in non-modal terms), this seems unpromising for broad logical necessity, which is modal.
Gist of Idea
Narrow non-modal logical necessity may be metaphysical, but real logical necessity is not
Source
Ian Rumfitt (Logical Necessity [2010], §2)
Book Reference
'Modality', ed/tr. Hale,B/Hoffman,A [OUP 2010], p.46
A Reaction
[compressed] He cites Kit Fine 2002. Rumfitt glosses the non-modal definitions as purely formal. The metaphysics lurks somewhere in the proof.