Documentation

Studies.TenWolde2023

ten Wolde (2023): The English Binominal Noun Phrase: A Cognitive-Functional Approach #

This file formalizes ten Wolde's account of the English of-binominal as a grammaticalization path from the prototypical N+PP (the hell of his own invention) through the head-classifier (a hell of loneliness) and the evaluative binominal noun phrase (a hell of a hotel) to the evaluative modifier (a hell of a man) and the binominal intensifier (a hell of a large sum) (Stage). The features of the book's two overview tables hold over intervals of the path, with one exception (ordConnected_span_iff): the second determiner is lost in the head-classifier and reappears in the evaluative binominal, which the book explains by inheritance from the N+PP, and which the network derives (inherited_secondDeterminer). A feature that holds over an interval is never lost once gained if it holds at the last stage (isUpperSet_span_of_top_mem), and the features together tell every two stages apart (profile_injective).

Every first noun of the case studies and of the corpus study is attested at all stages below the ones it has reached (isLowerSet_stages). In the constructional network every later stage inherits from the N+PP mother node, the horizontal metaphorical links are the covering relation of the path (metaphorical_iff_covBy), and the step onto the evaluative stages is a subjectification in Traugott's sense.

Implementation notes #

References #

The path #

The constructions on the grammaticalization path, from the most lexical to the most grammaticalized.

  • nPP : Stage

    The first noun denotes a referent and the prepositional phrase ascribes a property to it, as in the hell of his own invention.

  • headClassifier : Stage

    The second noun classifies the type or material of the first, as in a hell of loneliness.

  • evaluative : Stage

    The first noun ascribes an evaluative property to the referent of the second, as in a hell of a hotel.

  • evaluativeModifier : Stage

    The chunk [N₁ of a] is a modifier evaluating the second noun, as in a hell of a man.

  • binominalIntensifier : Stage

    The chunk [N₁ of a] intensifies a following adjective or quantifier, as in a hell of a large sum.

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    def TenWolde2023.instReprStage.repr :
    Stage → ℕ → Std.Format
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      @[instance_reducible]

      The stages are ordered as they are listed.

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      The path, from the first stage to the last.

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        theorem TenWolde2023.Stage.path_isChain :
        List.IsChain (fun (x1 x2 : Stage) => x1 ⋖ x2) path

        Each stage of the path is the immediate successor of the one before it.

        Diagnostics #

        The features that separate the constructions in the book's overview tables.

        • ofMeaningful : Diagnostic

          of has prepositional meaning, such as 'out of', 'with' or 'from'.

        • ofOmissible : Diagnostic

          of can be left out or fused, where elsewhere it is mandatory.

        • det₁Omissible : Diagnostic

          The first determiner can be absent.

        • det₂ : Diagnostic

          There is a second determiner.

        • det₂Number : Diagnostic

          The second determiner marks number.

        • n₁Head : Diagnostic

          The first noun is the semantic, syntactic and discourse head.

        • n₂SyntacticHead : Diagnostic

          The second noun is the syntactic head, beyond being the semantic and discourse head.

        • n₁Evaluative : Diagnostic

          The first noun ascribes an evaluative property to the second or evaluates its referent.

        • chunk : Diagnostic

          [N₁ of a] functions as a unit, a modifier or an intensifier.

        • det₁ScopeN₁ : Diagnostic

          The first determiner is selected by the first noun and does not scope over the whole.

        • ofPhraseMoves : Diagnostic

          The of-phrase can be moved and coordinated.

        • n₁Plural : Diagnostic

          The first noun can be plural.

        • n₁FullModification : Diagnostic

          The first noun is modified without restriction to a limited set of modifiers.

        • n₁Modification : Diagnostic

          The first noun can be modified at all.

        • strictAgreement : Diagnostic

          The two nouns agree in number without exception.

        • agreement : Diagnostic

          The two nouns agree in number at least as a rule.

        • n₂CountOnly : Diagnostic

          The second noun must be a count or collective noun.

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            The stages at which a diagnostic holds.

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              @[instance_reducible]
              instance TenWolde2023.instDecidablePredStageMemSetSpan (d : Diagnostic) :
              DecidablePred fun (x : Stage) => x ∈ d.span
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              Every diagnostic but those of the second determiner holds over a contiguous span of the path. The head-classifier has no second determiner, while the N+PP before it and the evaluative binominal after it do.

              theorem TenWolde2023.isUpperSet_span_of_top_mem {d : Diagnostic} (hd : d.span.OrdConnected) (h : ⊤ ∈ d.span) :
              IsUpperSet d.span

              A feature of the most grammaticalized stage that holds over a contiguous span is never lost once gained.

              theorem TenWolde2023.isLowerSet_span_of_bot_mem {d : Diagnostic} (hd : d.span.OrdConnected) (h : ⊥ ∈ d.span) :
              IsLowerSet d.span

              A feature of the most lexical stage that holds over a contiguous span is never regained once lost.

              Number agreement between the nouns is transient, arising with the evaluative binominal and already weakened at the next stage.

              The restriction of the second noun to count nouns is transient, arising with the evaluative binominal and lifted again at the intensifier.

              The head switches to the second noun exactly where the first noun becomes evaluative.

              The chunk [N₁ of a] forms exactly where the first noun stops inflecting.

              The diagnostics that hold at a stage.

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                theorem TenWolde2023.profile_injective :
                Function.Injective Stage.profile

                The diagnostics tell every two stages apart.

                First nouns #

                The semantic classes of first nouns.

                • inanimate : SemanticClass

                  Inanimate concrete nouns such as cake, nub, breeze and husk.

                • animate : SemanticClass

                  Animate nouns such as beast, snake and whale.

                • abstract : SemanticClass

                  Abstract nouns, among them mythical beings and expletives, such as hell and bitch.

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                    A first noun with the constructions it is attested in.

                    • semanticClass : SemanticClass
                    • stages : Finset Stage

                      The stages of the path the noun is attested at.

                    • pseudoPartitive : Bool

                      Whether the noun has pseudo-partitive uses, as in a hell of microwaves.

                    • fused : Option String

                      The orthographically reduced form of [N₁ of a], if there is one.

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                      def TenWolde2023.instDecidableEqNoun.decEq (x✝ x✝¹ : Noun) :
                      Decidable (x✝ = x✝¹)
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                        The case-study noun hell is attested at every stage and fuses to helluva.

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                          The case-study noun beast is attested at every stage and has no pseudo-partitive uses.

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                            The case-study noun cake is attested up to the evaluative modifier.

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                              The noun whale is attested at every stage and fuses to whaleuva.

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                                The noun bitch is attested at every stage, at the intensifier by a single token.

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                                  The noun nub is attested up to the evaluative binominal.

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                                    The noun breeze is attested up to the evaluative binominal.

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                                      The noun husk is attested up to the evaluative binominal.

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                                        The noun snake is animate and yet has pseudo-partitive uses.

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                                          The nouns of the case studies and of the corpus study.

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                                            theorem TenWolde2023.isLowerSet_stages (n : Noun) :
                                            n ∈ Noun.all → IsLowerSet ↑n.stages

                                            A first noun attested at a stage is attested at every earlier stage.

                                            Every inanimate first noun develops pseudo-partitive uses.

                                            The animate and abstract nouns with pseudo-partitive uses are snake and hell.

                                            theorem TenWolde2023.exists_mem_chunk_of_fused (n : Noun) :
                                            n ∈ Noun.all → n.fused.isSome = true → ∃ s ∈ n.stages, s ∈ Diagnostic.chunk.span

                                            A first noun has a reduced form only if it reaches a stage at which [N₁ of a] is a unit.

                                            The constructional network #

                                            The form of the construction at each stage; the optional a of the modifier and the intensifier is left out.

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                                              The simple noun phrase, whose classifying and evaluative premodifiers share their function with the binominals.

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                                                The adjective phrase, whose intensifiers share their function with the binominal intensifier.

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                                                  The nodes of the network: the constructions of the path, the simple noun phrase and the adjective phrase.

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                                                    The network of the of-binominals (chapter 8). Every construction after the N+PP has a taxonomic link to the schematic N+PP mother node, weakened for the evaluative modifier and the binominal intensifier (the dotted links of Figures 8.11 and 8.13). The horizontal links, which pass no information down, are the metaphorical extensions along the path at the micro-construction level, and the polysemy links from the head-classifier, the evaluative binominal and the evaluative modifier to the simple noun phrase, whose premodifiers share their function (a book of poetry and a poetry book), and from the binominal intensifier to the adjective phrase.

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                                                      The metaphorical links are the covering relation of the path, so each stage is a metaphorical extension of the one before it and of no other.

                                                      def TenWolde2023.secondDeterminer :
                                                      Node → Option Bool

                                                      Whether a construction states a second determiner: the N+PP has one, the head-classifier has none ("no Det2", Figure 8.6), and the constructions after it state nothing of their own.

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                                                        Whether a construction states that its second determiner marks number: the N+PP's does, the head-classifier has none, and the evaluative modifier's "no longer marks number for N2" (Figure 8.10), nor does the binominal intensifier's.

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                                                          "The inheritance link between the EBNP and the N+PP would explain the reappearance of the indefinite article in the second determiner position in the EBNP" (p. 226): the stages that inherit a second determiner through the network are exactly those at which the overview tables record one, the head-classifier excepted.

                                                          The evaluative binominal inherits a number-marking second determiner from the N+PP, the other exception to contiguity in the tables (ordConnected_span_iff).

                                                          theorem TenWolde2023.head_before_of_iff (s : Stage) :
                                                          ((List.takeWhile (fun (x : ConstructionGrammar.Slot String) => decide (x.filler ≠ ConstructionGrammar.SlotFiller.fixed "of")) s.construction.form).any fun (x : ConstructionGrammar.Slot String) => x.isHead) = true ↔ s ∈ Diagnostic.n₁Head.span

                                                          The head of the form precedes of exactly at the stages where the first noun is the semantic head.

                                                          Subjectification #

                                                          The coded level of the first noun's meaning at a stage is nonsubjective while the noun ascribes an objective property and subjective once it expresses the speaker's evaluation.

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                                                            The path follows [Tra10a]'s cline, with one subjectification at the evaluative binominal and bleaching within the subjective level after it.