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A modal fictionalist may be driven to accept that the fiction is a collection of propositions in response to any of several objections: the worry about artificiality, the worry about incompleteness, or alternatively on more general grounds (given that taking fictions to be collections of propositions is attractive quite apart from considerations about modal fictionalism).
After all, if there had never been any sentient creatures, no stories would ever have been told, and even if the modal fiction is construed as a Platonic entity (a collection of propositions, perhaps), it may never have been a fiction if it was never expressed by story-tellers.
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Shogenji's formula \ \textit{coh}(A_1,\ldots,A_n)\) generalizes this idea for larger collections of propositions.
This move does not seem open to a Platonist modal fictionalist, since the ontology is one of collections of propositions in both cases.
Indeed, if there were arguments to show that collections of propositions were non-starters as candidates to be possible worlds, this would damn the project of abstractionist theories of this form.
The essential part of fuzzy rule based systems (FRBSs) is a set of IF THEN linguistic rules, that have the general form "IF A THEN B" where A and B are (collections of) propositions containing linguistic variables.
(These correspond to the collection of atomic propositions in the propositional case).
Boole focused on Aristotelian logic in MAL, with its 4 types of categorical propositions and an open-ended collection of hypothetical propositions.
The paradox is then solved by construing the Liar as 'there is a proposition that I state and that is false'; hence the statement contains a quantification (hence an apparent variable) over the collection of all propositions, and it is not a proposition in a proper sense (Russell 1906, 642 644).
If anyone can find a worse written, more cliché-ridden, more meaningless, more patronising, more tin-eared collection of absurd propositions paraded as common sense, then I will give them £50.
Those include a work on inscribing the regular heptagon in a circle; a collection of lemmas (propositions assumed to be true that are used to prove a theorem) and a book, On Touching Circles, both having to do with elementary plane geometry; and the Stomachion (parts of which also survive in Greek), dealing with a square divided into 14 pieces for a game or puzzle.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com