Documentation

Studies.Downing1996

Downing (1996): Numeral Classifier Systems: The Case of Japanese #

This file formalizes the semantic and pragmatic analysis of the Japanese numeral classifier system in [Dow96]. A numeral classifier is a form that follows a numeral, readily co-occurs with a noun denoting the enumerated referent, and denotes a natural unit of that referent whose characteristics dictate its choice, which excludes standard measures, containers, partitions and groupings (Chapter 1); the core inventory of Table 1.1 and the extended inventory of Table 1.2 are Row, each row's entry a classifier of Japanese.Classifiers. The monograph evaluates two universalist hypotheses (Chapter 5). Hypothesis 1, after [Den76], is that classifiers encode categories defined by parameters of physical, functional and social interaction, Interaction, and the core inventory conforms to this extent, core_interaction, though the monograph finds the system adulterated with categories of little cultural weight. Hypothesis 2 is that classifiers supplement the information carried by nouns; the capacity lies with the quality-classifiers, whose deductive categories in the sense of [Hun77] are united by one or two physical properties and crosscut noun categories, against the kind-classifiers of inductive categories, cohesion, the animal and boat categories being inductive categories split by the deductive parameter of size, sizeSplits. The morphemes serving as classifiers mostly bear independent senses related to their categories along the six recurrent patterns of Table 5.2, MorphemeRelation; a seventh pattern attested in other languages is absent from Japanese, relation_ne_sharedQuality, only the pairs of the first pattern are clones of noun categories, and no quality-classifier is one, quality_not_clone. Chapter 7 reconsiders [SS73]'s universal that classifier languages lack obligatory plural marking and [Gre72]'s collective/singulative rationale for it: Japanese common nouns are transnumeral and its pronouns and proper nouns inherently singular, numberSystem, so plural marking is required on the latter and at most possible on the former, Table 7.2, pluralMarking, and is monotone in the animacy of the referent and the referentiality of the noun phrase, pluralMarking_mono_referent and pluralMarking_mono_head, a plurality split in the sense of [SS74]; the same suffixes read as associative plurals on the singular heads and as class plurals on the transnumeral ones, reading. Classifier phrases unitize and plural markers maintain tracking-worthy individuals, so a group is introduced with the former and tracked with the latter and never the reverse, Tracks. The anaphoric use of classifier phrases (Chapter 6) and the four positions of the classifier phrase (Chapter 8) are represented by their examples.

Implementation notes #

The kind/quality distinction is derived from the semantic parameters of each row's category, coded in Aikhenvald's vocabulary from the descriptions of the tables (Row.params): a parameter of physical interaction, including [All77]'s quanta, is deductive, one of functional or social interaction inductive, and a classifier is a quality-classifier when its parameters are all deductive, a kind-classifier when all inductive, mixed when both, and general when it has none. The morpheme-category relations of Table 5.2 are recorded for the rows the monograph assigns; the rows it does not discuss are none, as are mai and tsu, which have no independent sense. Table 7.2 is the function pluralMarking and its regularities are proved by decide over the nine cells. The frequency, breadth, acquisition, anaphoric-distance and construction-distribution counts of Chapters 3, 6 and 8 are corpus statistics and are not represented, nor are the taxonomic analyses of Chapter 4 or the history of Chapter 2.

References #

The inventory, Tables 1.1 and 1.2 #

The classifiers of the questionnaire, the twenty-seven every respondent used (Table 1.1) and the six a majority used (Table 1.2).

Instances For
    @[instance_reducible]
    instance Downing1996.instDecidableEqRow :
    DecidableEq Row
    Equations
    @[instance_reducible]
    Equations
    def Downing1996.instReprRow.repr :
    Row → ℕ → Std.Format
    Equations
    Instances For
      @[instance_reducible]
      Equations

      The fragment's entry for the row.

      Equations
      Instances For

        The twenty-seven classifiers every respondent used.

        Equations
        • One or more equations did not get rendered due to their size.
        Instances For

          The semantic parameters of the category each classifier names, coded in Aikhenvald's vocabulary from the descriptions of the tables; the general -tsu has none.

          Equations
          Instances For
            theorem Downing1996.Row.params_eq_nil_iff (r : Row) :
            r.params = [] ↔ r = tsu

            -tsu is the one classifier whose category has no parameter.

            Interaction parameters, Hypothesis 1 #

            The three kinds of human interaction by which [Den76] has classifier categories defined.

            Instances For
              @[instance_reducible]
              Equations
              Equations
              • One or more equations did not get rendered due to their size.
              Instances For

                The interaction a semantic parameter reflects: physical for the perceptual parameters, [All77]'s primary qualities, functional for use, and social for animacy and status; colour, which no classifier system encodes, reflects none.

                Equations
                Instances For
                  theorem Downing1996.core_interaction (r : Row) :
                  r ∈ Row.core → r ≠ Row.tsu → ∃ p ∈ r.params, (interaction p).isSome = true

                  Hypothesis 1 on the core inventory: every core classifier but the general tsu encodes a parameter of physical, functional or social interaction.

                  Kind-classifiers and quality-classifiers, Chapter 3 #

                  A deductive parameter unites a category by a single perceptual property.

                  Equations
                  Instances For

                    An inductive parameter names a category given by the world as humans use it.

                    Equations
                    Instances For
                      @[instance_reducible]
                      Equations
                      @[instance_reducible]
                      Equations

                      The type of semantic cohesion of a classifier's category.

                      Instances For
                        @[instance_reducible]
                        Equations
                        def Downing1996.instReprCohesion.repr :
                        Cohesion → ℕ → Std.Format
                        Equations
                        Instances For

                          The cohesion of a classifier's category, read off its parameters: kind when all are inductive, quality when all are deductive, mixed when both kinds occur, and general when it has none.

                          Equations
                          • One or more equations did not get rendered due to their size.
                          Instances For

                            The shape-based classifiers are quality-classifiers, the human and building classifiers kind-classifiers, and tsu is the general classifier.

                            The pairs of core classifiers splitting one inductive category by size.

                            Equations
                            • One or more equations did not get rendered due to their size.
                            Instances For

                              The animal and boat categories, inductively given, are the categories the system splits by the deductive parameter of size: hiki and tou, seki and soo.

                              The classifier and noun systems, Hypothesis 2 #

                              The recurrent relations between a classifier's category and the independent sense of its morpheme, Table 5.2: the six patterns of Japanese, the seventh found in other languages, and the metonymic and metaphoric extensions of (4) and (5).

                              Instances For
                                @[instance_reducible]
                                Equations
                                Equations
                                • One or more equations did not get rendered due to their size.
                                Instances For

                                  The seventh pattern, a morpheme naming a quality the category's members share, is absent from Japanese.

                                  Only the first pattern makes a classifier a clone of a noun category, and no quality-classifier is one: the deductive categories crosscut the noun system.

                                  Plural markers and classifier phrases as individuators, Chapter 7 #

                                  Number is not an obligatory category of Japanese, and [Mar75]'s six devices for expressing it all carry other information; the classifier phrase and the plural suffixes -tachi, -ra share the task of individuating referents, (2).

                                  The type of referent, in the order of the animacy hierarchy.

                                  Instances For
                                    @[instance_reducible]
                                    Equations
                                    Equations
                                    • One or more equations did not get rendered due to their size.
                                    Instances For
                                      @[instance_reducible]
                                      Equations
                                      • One or more equations did not get rendered due to their size.

                                      The head of the noun phrase, in the order of its referentiality.

                                      Instances For
                                        @[instance_reducible]
                                        Equations
                                        def Downing1996.instReprNPHead.repr :
                                        NPHead → ℕ → Std.Format
                                        Equations
                                        Instances For
                                          @[instance_reducible]
                                          Equations

                                          The availability of a plural marker, from impossible to required.

                                          Instances For
                                            @[instance_reducible]
                                            Equations
                                            Equations
                                            • One or more equations did not get rendered due to their size.
                                            Instances For
                                              @[instance_reducible]
                                              Equations
                                              • One or more equations did not get rendered due to their size.
                                              @[instance_reducible]
                                              Equations

                                              Pronouns require a plural marker to refer to more than one individual, (10c).

                                              Common nouns with inanimate referents reject plural markers, (8a) and (9b).

                                              Plural marking is more available the higher the referent on the animacy hierarchy.

                                              Plural marking is more available the more referential the head of the noun phrase.

                                              The number system of a noun phrase head: common nouns are transnumeral, denoting the concept rather than individuals, while pronouns and proper nouns are inherently singular.

                                              Instances For
                                                @[instance_reducible]
                                                Equations
                                                Equations
                                                • One or more equations did not get rendered due to their size.
                                                Instances For

                                                  For human referents, a plural marker is required exactly on the inherently singular heads: the singular/plural subsystem within a transnumeral language.

                                                  What a plural suffix denotes: a group centred on the referent of its host, or a plurality of members of the host's category.

                                                  Instances For
                                                    @[instance_reducible]
                                                    Equations
                                                    Equations
                                                    • One or more equations did not get rendered due to their size.
                                                    Instances For

                                                      -tachi and -ra are associative on pronouns and proper nouns, (11), and class plurals on common nouns, (12).

                                                      Equations
                                                      Instances For

                                                        The class plural arises exactly on the transnumeral heads, which context converts into singular expressions.

                                                        theorem Downing1996.plural_and_classifier :
                                                        ∃ (n : Japanese.Nouns.Noun), n.plural.isSome = true ∧ n.classifiers.Nonempty

                                                        Against the hypothesis that classifiers and plural morphemes are in complementary distribution: the lexicon pairs a plural form and a classifier with one noun, as in (2b).

                                                        The devices by which a mention of a group of referents marks their number.

                                                        Instances For
                                                          @[instance_reducible]
                                                          Equations
                                                          @[instance_reducible]
                                                          Equations
                                                          def Downing1996.instReprMention.repr :
                                                          Mention → ℕ → Std.Format
                                                          Equations
                                                          Instances For

                                                            A sequence of mentions of one group tracks it when no plural-marked mention precedes a classifier phrase: the classifier phrase unitizes on introduction and the plural marker maintains the individuated status, (16) and (23), and the reverse order is unattested.

                                                            Equations
                                                            Instances For
                                                              @[instance_reducible]
                                                              Equations

                                                              The sequence of (16), a classifier phrase followed by plural-marked mentions, tracks, and its reverse does not.