Determinacy is the subjects of a vast amount of literature, often under the designation 'definiteness', and has been discussed in terms of familiarity and novelty (Heim, 198; Lyons, 1999), salience (Lewis, 1979), uniqueneas and existence presuppositions (Coppock and Beaver, 2015). The familiarity/salience intuition about definiteness can be accommodated in a GQT framework by assuming the reference domain of a quantification to be a subset of the source domain, containing only familiar or salient entities. NPs used as an argument of a predicate, definite or indefinite, presuppose the existence of certain individuals, which will be reflected in the semantics of NP annotations by the use of discourse referents that designate non-empty sets.

The relation between definiteness and determinacy is by no means straightforward. Examples of definite expressions which are indeterminate, are the following:

• Anna did not give the only invited talk at the conference.
• I squeezed Lola's hand.
• Are anna and henry the only two invited speakers?