Debunking Multiform Dimensionality: many, Romance tant-PL, & morpho-syntactic opacity

The interpretation of much/many has been argued to be regulated by Uniform Dimensionality (Hackl 2000; Solt 2009): much is underspecified but many encodes cardinality. However, given some data where many denotes ‘volume’, Snyder (2021) proposes the need for Multiform Dimensionality: both much and many are underspecifed. After reviewing the English data, and in light of novel cross-linguistic data, we argue that neither generalization is fully accurate. Instead, following Wellwood (2015, 2018), we argue for an alternative, Abstract Uniform Dimensionality, which we propose to be universal: MUCH always measures cardinality when it scopes over semantically interpretable plural. We derive the universal by proposing that MUCH can occupy different positions in the NP, only one of which has semantic plural in its scope. Variation is thus not semantic, but morpho-syntactic.