Mereology, deontic logic and collective obligations.

In my PhD, I am studying the scalar properties of the logical space induced by generalized quantifiers expressing normativity (too few, too much), evaluation (many, few), proportionality (most, at least). This work is carried out within the formal framework of Bitstring semantics which offers a systematic account of the underlying structure induced by formulas of arbitrary fragments. I apply this formal framework to the study of the above-mentioned generalized quantifiers and investigate of the following conjecture: the link between less complex and more complex underlying structures induced by these quantifiers is fundamentally compositional.