Full Idea
I reject both Barcan and Converse Barcan by adopting a negative free logic.
Gist of Idea
With a negative free logic, we can dispense with the Barcan formulae
Source
Bob Hale (Necessary Beings [2013], 11.3)
Book Reference
Hale,Bob: 'Necessary Beings' [OUP 2013], p.259
A Reaction
See section 9.2 of Hale's book, where he makes his case. I can't evaluate this bold move, though I don't like the Barcan Formulae. We can anticipate objections to Hale: are you prepared to embrace the unexpected consequences of your new logic?