I tried to post this yesterday but the site went down again… I’ll put it anyway, but I think T.J. and Guy have already covered many of the same points.
Back to your original example, The dog probably barked., imagine it as an answer to these questions:
-
The trick-or-treaters ran away without their candy. What happened?
(probably scopes over the) -
Do you think the dog barked or begged at the trick-or-treaters?
(the scopes over probably)
As for intersective adjectives, in my dissertation (Section 5.3.3, ~p74) I gave the following non-scopal adjective classes and examples:
- intersective: white cat
- subsective: cognitive scientist
- intensional: fake gun
Also this paper by Ulrich Reichard looks nice: https://philpapers.org/archive/REIIAG.pdf
I just skimmed it but it has some examples with set descriptions of the phenomena. Note that what I called “intensional” Reichard calls “non-subsective”, and also discusses another term, “privative”. It doesn’t seem to cover scopal adjectives, though.