Chapter 8 discusses alternative theories of case, in particular the few prior attempts to deal with the Faroese dative–accusative pattern (Woolford 2007, Jónsson 2009, Asarina 2011). Further survey data from Faroese are presented alongside engagement with these alternatives; it is argued that while these theories could be altered to achieve empirical coverage, they will miss generalisations and overgenerate in comparison to the OLG approach. Woolford (2007) deals with exceptions to Burzio’s Generalisation (Burzio 1986); where Woolford’s account runs into problems is the conflation of abstract and morphosyntactic case: the case-hierarchy constraints alone do not explain the possibility of mismatches between thematic structure, argument structure and case-marking on arguments. Second, an idea proposed by Jónsson (2009), built upon by Asarina (2011), is discussed:‘covert’ nominative case. The basic idea is not dissimilar to abstract [+HR] case instantiated in morphosyntax as the case borne by subject position; however, crucial differences render the covert nominative account undesirably over-flexible. Further survey data are presented with respect to purported nominative ‘objects’, showing that such sentences are unacceptable in contemporary Faroese and that the data are inconsistent with Asarina (2011).

Chapter 3 outlines OLG’s core components, giving the prerequisite theoretical background for understanding the data analyses that follow. The Linking Theory section answers questions regarding levels of lexical–semantic and syntactic representation, mapping between levels, and the architecture of grammar. A short review is presented of the core propositions of Optimality Theory (OT) approaches to syntax, including a list of proposed constraints governing case-assignment. Linking Theory originates in Kiparsky (1997); the central innovation is that three levels of case – abstract, morphosyntactic and morphological – are distinguished, and the same set of binary features is seen to operate at all levels, though with level-appropriate realisation. The introduction to OT focuses on its application to the syntactic module of grammar; a key point is that a huge number of unlikely candidates are harmonically bounded by undominated or high-ranked constraints. Such markedness constraints interact with faithfulness constraints enforcing realisation of all features present in the input, preventing omission of input material other than in highly marked forms. This allows us to capture long-standing generalisations about phrase structure without having to claim they will be completely unviolated across languages: language-specific rankings may result in more or less marked structures.