Noun Categorization × @cite{chierchia-1998} Nominal Mapping Parameter @cite{chierchia-1998}

Connects the cross-linguistic noun categorization typology in Phenomena.Classifiers.Typology to the Nominal Mapping Parameter from Theories.Semantics.Lexical.Noun.Kind.Chierchia1998.

Predictions verified

• argOnly_implies_numeral_classifier: [+arg, -pred] → numeral classifiers
• predOnly_implies_noun_class: [-arg, +pred] → noun class
• mandarin_chierchia_consistent, japanese_chierchia_consistent, french_chierchia_consistent, italian_chierchia_consistent: Actual classifier types match predictions

Known gaps

• English [+arg, +pred] prediction (no system) not yet connected to data

def Phenomena.Classifiers.Studies.Chierchia1998.nominalMappingToClassifierType : Semantics.Lexical.Noun.Kind.Chierchia1998.NominalMapping → Option Core.NounCategorization.ClassifierType

Map NominalMapping to the expected classifier type. [+arg, -pred] languages have numeral classifiers. [-arg, +pred] languages have noun class/gender. [+arg, +pred] languages (English/Germanic) lack a productive system.

Equations

• One or more equations did not get rendered due to their size.
• Phenomena.Classifiers.Studies.Chierchia1998.nominalMappingToClassifierType Semantics.Lexical.Noun.Kind.Chierchia1998.NominalMapping.argAndPred = none

theorem Phenomena.Classifiers.Studies.Chierchia1998.french_mapping : Fragments.French.Nouns.frenchMapping = Semantics.Lexical.Noun.Kind.Chierchia1998.NominalMapping.predOnly

French mapping is [-arg, +pred].

theorem Phenomena.Classifiers.Studies.Chierchia1998.mandarin_mapping : Fragments.Mandarin.Nouns.mandarinMapping = Semantics.Lexical.Noun.Kind.Chierchia1998.NominalMapping.argOnly

Mandarin mapping is [+arg, -pred].

theorem Phenomena.Classifiers.Studies.Chierchia1998.japanese_mapping : Fragments.Japanese.Nouns.japaneseMapping = Semantics.Lexical.Noun.Kind.Chierchia1998.NominalMapping.argOnly

Japanese mapping is [+arg, -pred].

theorem Phenomena.Classifiers.Studies.Chierchia1998.italian_mapping : Fragments.Italian.Nouns.italianMapping = Semantics.Lexical.Noun.Kind.Chierchia1998.NominalMapping.predOnly

Italian mapping is [-arg, +pred]. Italian is the star witness for predOnly: bare arguments are restricted and D must be projected for argumenthood.

theorem Phenomena.Classifiers.Studies.Chierchia1998.argOnly_implies_numeral_classifier : nominalMappingToClassifierType Semantics.Lexical.Noun.Kind.Chierchia1998.NominalMapping.argOnly = some Core.NounCategorization.ClassifierType.numeralClassifier

The Chierchia-Aikhenvald bridge: [+arg, -pred] languages are numeral classifier languages.

theorem Phenomena.Classifiers.Studies.Chierchia1998.predOnly_implies_noun_class : nominalMappingToClassifierType Semantics.Lexical.Noun.Kind.Chierchia1998.NominalMapping.predOnly = some Core.NounCategorization.ClassifierType.nounClass

[-arg, +pred] languages are noun class languages.

theorem Phenomena.Classifiers.Studies.Chierchia1998.argAndPred_no_system : nominalMappingToClassifierType Semantics.Lexical.Noun.Kind.Chierchia1998.NominalMapping.argAndPred = none

[+arg, +pred] languages (English/Germanic) lack a productive noun categorization system in Aikhenvald's sense.

theorem Phenomena.Classifiers.Studies.Chierchia1998.mandarin_chierchia_consistent : some Typology.mandarin.classifierType = nominalMappingToClassifierType Fragments.Mandarin.Nouns.mandarinMapping

Mandarin's actual classifier type matches the Chierchia prediction.

theorem Phenomena.Classifiers.Studies.Chierchia1998.japanese_chierchia_consistent : some Typology.japanese.classifierType = nominalMappingToClassifierType Fragments.Japanese.Nouns.japaneseMapping

Japanese's actual classifier type matches the Chierchia prediction.

theorem Phenomena.Classifiers.Studies.Chierchia1998.french_chierchia_consistent : some Typology.french.classifierType = nominalMappingToClassifierType Fragments.French.Nouns.frenchMapping

French's actual classifier type matches the Chierchia prediction.

theorem Phenomena.Classifiers.Studies.Chierchia1998.italian_chierchia_consistent : some Typology.italian.classifierType = nominalMappingToClassifierType Fragments.Italian.Nouns.italianMapping

Italian's actual classifier type matches the Chierchia prediction.

theorem Phenomena.Classifiers.Studies.Chierchia1998.french_italian_same_mapping : Fragments.French.Nouns.frenchMapping = Fragments.Italian.Nouns.italianMapping

French and Italian agree on Chierchia mapping: both are predOnly.