QuantML conceptual inventory

The conceptual inventory of QuantML contains the following concepts:

1. Predicates.
   • a. Predicates that correspond to (senses of) lexical items of the language of the primary data, notably nouns, verbs, adjectives, and prepositions. Such predicates are designated by canonical forms of lexical items, such as verb stems. These predicates form an open class, the content of which depends on the language of the primary data, the subject matter of the annotated material, and the use of lexical resources like WordNet and VerbNet.
   • b. The numerical relations 'equal', 'less-than, 'greater-than-or-equal.
   • c. Non-numerical quantitative predicates corresponding to determiners such as "a few", "a little", "several", "many" in English, or "beaucoup", "plusieurs" in French. This is a language-dependent open c'lass which always contains te language-independent predicates 'all', 'no', and 'some'.
   • d. Predicates corresponding to proportional determiners such as 'most', 'half', 'two-thirds'.
   • e. Semantic role predicates. QuantML does not prescribe the use of any particular set of semantic roles, but for convenience uses the roles defined in ISO 24617-4. Other role sets can be used as plug-ins (Bunt, 2019; see also Bonial et al., 2011).
   • f. The possessive relation 'Poss'.
2. The non-negative real numbers.
3. Dimensions, such as 'weight', 'volume', and 'length, and units of measurement, which may be basic, like 'kilo, 'liter', 'mile', and derived, like 'square meter' and 'meter per second' (see Bunt, 1985 for a semantic theory of dimensons).
4. Concepts that correspond the specification of the various aspects of quantification:
   • a. 'determinate', 'indeterminate for specifying a determinacy;
   • b. 'collective', 'individual, 'sampled', and unspecific for specifying distributivity;
   • c. 'count', 'mass and 'count+parts' for specifying individuation;
   • d. 'exhaustive' and 'non-exhaustive' for specifying exhaustivity;
   • e. 'wide' and 'narrow' for specifying event scope;
   • f. 'wider', 'dual', and 'equal', for specifying relative scopes of participants;
   • g. 'positive', 'wide negative', and 'narrow negative' for specifying the scope of a negation;
   • h. 'inverse' and 'linear' for specifying whether a modifier applies with scope inversion