Documentation

Linglib.Studies.Chierchia2013

Disjunction Ignorance [Chi13] #

Empirical patterns for ignorance inferences from disjunction, organized around [Chi13]'s positional-asymmetry account.

"Harry is in Antwerp or Brussels" implicates:

  1. Speaker doesn't know Harry is in Antwerp
  2. Speaker doesn't know Harry is in Brussels

This is different from scalar implicature:

The file provides a predictReading function over ContextPolarity (from NaturalLogic) that derives the preferred inclusive/exclusive reading from structural position.

Empirical pattern: Disjunction and speaker ignorance.

"Harry is in Antwerp or Brussels" implicates:

  1. Speaker doesn't know Harry is in Antwerp
  2. Speaker doesn't know Harry is in Brussels

Source: [Sta79], [Geu10] Ch. 3.3

  • disjunction : String

    The disjunctive statement

  • disjunctA : String

    First disjunct

  • disjunctB : String

    Second disjunct

  • inferenceA : String

    Ignorance inference about A

  • inferenceB : String

    Ignorance inference about B

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      Classic example: Harry's location. Source: [Geu10] p.61

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        Location example with Mary.

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          Activity example.

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            Comparison between ignorance and scalar implicatures.

            Scalar implicatures and ignorance inferences differ:

            • Scalar: speaker knows the stronger alternative is false
            • Ignorance: speaker doesn't know which disjunct is true
            • utterance : String

              The utterance

            • inferenceType : String

              Type of inference

            • inference : String

              The inference

            • speakerClaimsKnowledge : Bool

              Is speaker claiming knowledge?

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                "Some" triggers scalar implicature (speaker knows).

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                • Chierchia2013.someScalar = { utterance := "Some students passed", inferenceType := "scalar", inference := "Speaker believes not all students passed", speakerClaimsKnowledge := true }
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                  "Or" triggers ignorance (speaker doesn't know).

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                  • Chierchia2013.orIgnorance = { utterance := "John passed or Mary passed", inferenceType := "ignorance", inference := "Speaker doesn't know which one passed", speakerClaimsKnowledge := false }
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                    Ignorance extends to long disjunctions (n > 2).

                    For "A or B or C", we get ignorance about each disjunct:

                    • Speaker doesn't know A
                    • Speaker doesn't know B
                    • Speaker doesn't know C

                    Source: [Geu10] p.61-64

                    • disjunction : String

                      The disjunctive statement

                    • disjuncts : List String

                      List of disjuncts

                    • ignoranceInferences : List String

                      Ignorance inferences (one per disjunct)

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                        Three-way disjunction example. Source: [Geu10] p.61

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                          Four-way disjunction example.

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                            Cases where ignorance inference is blocked or cancelled.

                            • context : String

                              The context or construction

                            • sentence : String

                              Example sentence

                            • ignoranceBlocked : Bool

                              Is ignorance blocked?

                            • explanation : String

                              Explanation

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                                Explicit knowledge blocks ignorance.

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                                  Rhetorical questions don't trigger ignorance.

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                                    Embedded disjunction under belief.

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                                      Interaction between disjunction ignorance and quantifiers.

                                      • sentence : String

                                        The sentence

                                      • quantifierScope : String

                                        Quantifier scope

                                      • inference : String

                                        Ignorance inference

                                      • notes : String

                                        Notes on the reading

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                                          Disjunction in scope of universal.

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                                            Disjunction scoping over universal.

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                                              Positional Asymmetry in Disjunction Interpretation #

                                              [Chi13] "Logic in Grammar" Ch.1 observes that the same lexical material yields different preferred readings based on structural position:

                                              PositionPolarityPreferred Reading
                                              Consequent of conditionalUEExclusive
                                              Antecedent of conditionalDEInclusive
                                              Scope of "every"UEExclusive
                                              Restrictor of "every"DEInclusive
                                              Positive sentenceUEExclusive
                                              Negative sentenceDEInclusive

                                              The Core Pattern #

                                              UE contexts: exclusive reading preferred

                                              DE contexts: inclusive reading preferred

                                              Explanation via Maximize Strength #

                                              The asymmetry follows from the Maximize Strength principle:

                                              When the exclusive SI is not computed, the inclusive reading emerges.

                                              Type of disjunction interpretation.

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                                                  Structural position of the disjunction.

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                                                      Example showing exclusive/inclusive asymmetry.

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                                                                      All exclusive/inclusive examples.

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                                                                        Forcing Non-Preferred Readings #

                                                                        While polarity determines the default reading, context can force the non-preferred interpretation:

                                                                        Forcing Inclusive in UE (harder) #

                                                                        "If everything goes well, we'll hire Mary or Sue, or both."

                                                                        Forcing Exclusive in DE (harder) #

                                                                        "If we hire Mary or Sue but not both, everything will go well."

                                                                        The observation: forcing requires explicit marking. The unmarked reading follows from Maximize Strength.

                                                                        Example of forcing a non-preferred reading.

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                                                                                Universal Free Choice Items #

                                                                                Universal FCIs like English "any" and Italian "qualunque" contrast with existential FCIs (irgendein, yek-i, vreun) handled in [AOM25a]:

                                                                                FCI TypeBase ForceExamplesMorphological Hints
                                                                                Existentialirgendein, yek-i, vreunOften contains "one"
                                                                                Universalany, qualunque, whateverOften wh-based

                                                                                Chierchia's analysis #

                                                                                Both FCI types have the same underlying existential semantics. The universal force of "any" emerges from obligatory exhaustification of domain alternatives.

                                                                                The "any" Distribution #

                                                                                1. NPI use (DE contexts): "I didn't see any students"

                                                                                  • In DE, exhaustification is vacuous (domain alts are entailed)
                                                                                  • Result: plain existential reading
                                                                                2. FC use (modal contexts): "You may read any book"

                                                                                  • Under modal, domain alts yield free choice
                                                                                  • Result: universal-like permission
                                                                                3. Generic use: "Any owl hunts mice" (subtrigging)

                                                                                  • Generic contexts license FC reading
                                                                                  • Result: universal generalization

                                                                                Why "any" Fails in Positive Episodic Contexts #

                                                                                "*There are any cookies"

                                                                                Exhaustifying domain alternatives in UE episodic contexts yields contradiction:

                                                                                With two witnesses d₁, d₂: the second clause requires that for any d satisfying P, some other y also satisfies P. Combined with the first clause, this leads to infinite regress/contradiction for finite domains.

                                                                                Contrast with "some" #

                                                                                "Some" has the same alternatives as "any", but they are optional. When not activated (low relevance), "some" = plain existential. "Any" must activate alternatives, hence the restricted distribution.

                                                                                Universal FCI: existential with obligatorily active domain alternatives.

                                                                                • baseIsExistential : Bool

                                                                                  Base meaning is existential

                                                                                • obligatoryDomainAlts : Bool

                                                                                  Domain alternatives are always active (not relevance-gated)

                                                                                • modalRescue : Bool

                                                                                  Can be rescued via modal insertion

                                                                                • genericRescue : Bool

                                                                                  Can be rescued via generic/subtrigging

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                                                                                  English "any" as a Universal FCI

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                                                                                    Italian "qualunque" as a Universal FCI

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                                                                                      Context type for determining Universal FCI distribution.

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                                                                                          Surface reading available to a Universal FCI.

                                                                                          Subset of the broader EFCI reading taxonomy: UFCIs only ever yield plain existential (NPI use, no exhaustification effect) or free choice (via modal/generic rescue). Uniqueness, modal variation, and epistemic ignorance are existential-FCI-specific readings.

                                                                                          • plainExistential : UFCIReading

                                                                                            Plain existential (NPI use in DE contexts)

                                                                                          • freeChoice : UFCIReading

                                                                                            Free choice (modal/generic rescue)

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                                                                                              FCI flavor: existential vs universal force.

                                                                                              Note: "Universal" FCIs (English any, Italian qualunque) have existential base meaning but universal surface force due to obligatory exhaustification. Existential FCIs (German irgendein, Farsi yek-i, Romanian vreun) retain narrow existential force. The flavor is a Chierchia-tradition typological dimension consumed by paper-specific studies (e.g., [Chi06], [AOM25a]).

                                                                                              • existential : FCIFlavor

                                                                                                Existential FCIs: irgendein, yek-i, vreun

                                                                                              • universal : FCIFlavor

                                                                                                Universal FCIs: any, qualunque, whatever

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                                                                                                  In DE contexts, exhaustifying "any"'s alternatives yields entailments, so the exhaustification is vacuous and "any" = plain existential.

                                                                                                  This explains the NPI distribution of "any".

                                                                                                  "I didn't see any students" ≡ "I didn't see a student"

                                                                                                  The "any" contributes no special meaning in DE contexts.

                                                                                                  Under modals, "any" yields free choice via exhaustification.

                                                                                                  "You may read any book" = For each book x, you may read x

                                                                                                  Modal insertion is the rescue mechanism for Universal FCIs.

                                                                                                  "*There are any cookies" is ungrammatical.

                                                                                                  Domain alternative exhaustification in UE episodic context yields contradiction.

                                                                                                  The failure mechanism: exhaustification is G-contradictory. (See Core.Analyticity for G-triviality/L-analyticity)

                                                                                                  An "any" distribution example.

                                                                                                  • sentence : String
                                                                                                  • context : UFCIContext
                                                                                                  • grammatical : Bool
                                                                                                  • reading : Option String
                                                                                                  • notes : String
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