Full Idea
Unfortunately for the fate of realist philosophy, modern logic's treatment of 'exists' is resolutely inhospitable to facts as referents of phrases of the form 'the existence or non-existence of φ'.
Gist of Idea
Unfortunately for realists, modern logic cannot say that some fact exists
Source
Fred Sommers (Intellectual Autobiography [2005], 'Realism')
Book Reference
'The Old New Logic', ed/tr. Oderberg,David S. [MIT 2005], p.17
A Reaction
Predicate logic has to talk about objects, and then attribute predicates to them. It tends to treat a fact as 'Fa' - this object has this predicate, but that's not really how we understand facts.