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‘Attention, I’m violating a maxim!’
A unifying account of the final rise
Matthijs Westera
Institute for Logic, Language and Computation
University of Amsterdam
Dr. Z. Tajeddin
By Sh. Tamizrad
Fall 2014
Content
• Abstract
• Introduction
• Theory
• Maxims
• Deriving the readings
• Conclusion and outlook
Abstract
• Purpose: A unified analysis is possible.
• A compositional analysis, where the final rise
(whether high or low) marks the violation of a
conversational maxim (hence the Kantian/Gricean
labels), and its steepness indicates the speaker’s
emotional activation.
Introduction- Kantian categories
• Quality reading: that the speaker is uncertain
whether what she is asserting is true;
Introduction- Kantian categories
• Quantity reading: that she is about to say
more, or at least knows more, on the present
topic, than what she is asserting; and
Introduction- Kantian categories
• Relation reading: that she is uncertain about
(how her response relates to) some alternative
answer to the question
Introduction- Kantian categories
• Quality and Relation readings suggest that the
final rise conveys speaker uncertainty (Gunlogson,
2003; Truckenbrodt, 2006; Ward &Hirschberg, 1992; Constant, 2012),
• But this is at odds with the Quantity reading.
Introduction- Ingredients
What is a final rise?
• Any contour whose tail (the part after the nuclear stress) is
non-falling throughout its end.
• Gunlogson (2003), and Gussenhoven (1983): The
final pitch is higher than the nuclear accent (a
requirement we drop, crucially, because we claim that the final pitch
has an independent semantic contribution).
Theory
• In declarative sentences:
1. The final rise conveys that uttering the expression
in the present context would violate a
conversational maxim.
2. The relative height of the final pitch indicates
the speaker’s emotional activation.
Theory’s Background
• Ward and Hirschberg (1985): ‘Intuitively, [rise-fall-
rise] seems to indicate that a speaker is uncertain
about whether his utterance is relevant to the
discourse’.
• Banziger and Scherer (2005): The steepness of a
final rise (as well as a final fall) correlates with
higher emotional activation.
Maxims
• Quality: Only say what you think is true.
• Quantity: Give the most informative answer to the
QUD that you think is true
• Relation: Let your utterance, relative to your
information state, entail the QUD.
• Manner: Only utter what you think is clear, concise, etc.
Maxims
Since Grice (1975) it has been assumed that a
violation of the Maxim of Quality is more dramatic
(more non-cooperative) than a violation of
the Maxim of Quantity or the Maxim of Relation.
Maxims
This predicted correlation is only typical,
because:
1. the relative importance of the maxims may
vary across contexts,
2. contextual sources of emotional activation
can interfere.
Deriving the readings
1. Quality Reading
Truckenbrodt’s (2006) account
• Contextual Bias
2. The Quantity Reading
• Maxim of Quantity: Giving the most informative
answer that speaker thinks is true.
3. The Relation Reading
• exhaustivity implicatures
• The Maxim of Relation will be suitable for an
account of the Relation reading if and only if the
maxim is strict enough to derive exhaustivity
implicatures.
Westera’s (2013) Maxim of Relation
Westera (2013) argues that, for an account of
exhaustivity implicatures that solves the
problematic ‘epistemic step’ (Sauerland, 2004) in a
wholly Gricean way, the Maxim of Relation must be
sensitive to the possibilities that an utterance draws
attention to.
Existing work on the Relation reading
• Ward and Hirschberg (1985): rise-fall-rise
intuitively conveys uncertain relevance
• Constant (2012): Constant assumes that rise-fall-
rise is a ‘universal quantifier of assertable alternative
unclaimability’.
A ‘Manner’ Reading
• The Maxim of Manner requires that the speaker thinks she
is making herself understood, hence its violation would
imply that the speaker lacks this belief.
• Manner violations could in principle be as dramatic as
Quality violations.
The theory does not constrain the number of
different readings a final rise may have, it does
very rigidly constrain the kinds of readings that it
may have: any reading should be understandable
in terms of the violation of some rule of rational
communication.
• The theory cannot predict, for a given utterance, which
of the many uses of the final rise is intended.
• However, it does make very specific predictions as to
what each of the readings exactly pertains to. If we
add to these predictions a bit of contextual
knowledge, then the ambiguity is easily resolved.
• Quality: B is uncertain about her being a millionaire, and either depressed or
very uninterested in finding out the truth of this proposition (because the rise is low).
• Quantity: B knows more about A’s question than she said. Perhaps B is giving A a
very obvious hint; or perhaps B happens to be a billionare reluctant to reveal it.
• Relation: B is unsure about how this resolves A’s question. This can only be if B is
unsure about A’s intended interpretation of ‘rich’ (say, because A is a billionaire).
• Manner: B is unsure how to pronounce ‘millionaire’, or whether A knows the
word.
Conclusion and outlook
This analysis is unifying, in the sense that:
1. it captures intuitions found in existing work,
2. it relies on machinery (e.g., the conversational maxims) that
comes straight from the literature;
3. existing but thus far disconnected accounts of different uses
of the final rise were reproduced, predicting four salient
readings: Quality, Quantity, Relation and Manner.
Sh. tamizrad  maxims

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Sh. tamizrad maxims

  • 1. ‘Attention, I’m violating a maxim!’ A unifying account of the final rise Matthijs Westera Institute for Logic, Language and Computation University of Amsterdam Dr. Z. Tajeddin By Sh. Tamizrad Fall 2014
  • 2. Content • Abstract • Introduction • Theory • Maxims • Deriving the readings • Conclusion and outlook
  • 3. Abstract • Purpose: A unified analysis is possible. • A compositional analysis, where the final rise (whether high or low) marks the violation of a conversational maxim (hence the Kantian/Gricean labels), and its steepness indicates the speaker’s emotional activation.
  • 4. Introduction- Kantian categories • Quality reading: that the speaker is uncertain whether what she is asserting is true;
  • 5. Introduction- Kantian categories • Quantity reading: that she is about to say more, or at least knows more, on the present topic, than what she is asserting; and
  • 6. Introduction- Kantian categories • Relation reading: that she is uncertain about (how her response relates to) some alternative answer to the question
  • 7. Introduction- Kantian categories • Quality and Relation readings suggest that the final rise conveys speaker uncertainty (Gunlogson, 2003; Truckenbrodt, 2006; Ward &Hirschberg, 1992; Constant, 2012), • But this is at odds with the Quantity reading.
  • 8. Introduction- Ingredients What is a final rise? • Any contour whose tail (the part after the nuclear stress) is non-falling throughout its end. • Gunlogson (2003), and Gussenhoven (1983): The final pitch is higher than the nuclear accent (a requirement we drop, crucially, because we claim that the final pitch has an independent semantic contribution).
  • 9. Theory • In declarative sentences: 1. The final rise conveys that uttering the expression in the present context would violate a conversational maxim. 2. The relative height of the final pitch indicates the speaker’s emotional activation.
  • 10. Theory’s Background • Ward and Hirschberg (1985): ‘Intuitively, [rise-fall- rise] seems to indicate that a speaker is uncertain about whether his utterance is relevant to the discourse’. • Banziger and Scherer (2005): The steepness of a final rise (as well as a final fall) correlates with higher emotional activation.
  • 11. Maxims • Quality: Only say what you think is true. • Quantity: Give the most informative answer to the QUD that you think is true • Relation: Let your utterance, relative to your information state, entail the QUD. • Manner: Only utter what you think is clear, concise, etc.
  • 12. Maxims Since Grice (1975) it has been assumed that a violation of the Maxim of Quality is more dramatic (more non-cooperative) than a violation of the Maxim of Quantity or the Maxim of Relation.
  • 13. Maxims This predicted correlation is only typical, because: 1. the relative importance of the maxims may vary across contexts, 2. contextual sources of emotional activation can interfere.
  • 14. Deriving the readings 1. Quality Reading
  • 16. 2. The Quantity Reading • Maxim of Quantity: Giving the most informative answer that speaker thinks is true.
  • 17. 3. The Relation Reading • exhaustivity implicatures • The Maxim of Relation will be suitable for an account of the Relation reading if and only if the maxim is strict enough to derive exhaustivity implicatures.
  • 18. Westera’s (2013) Maxim of Relation Westera (2013) argues that, for an account of exhaustivity implicatures that solves the problematic ‘epistemic step’ (Sauerland, 2004) in a wholly Gricean way, the Maxim of Relation must be sensitive to the possibilities that an utterance draws attention to.
  • 19. Existing work on the Relation reading • Ward and Hirschberg (1985): rise-fall-rise intuitively conveys uncertain relevance • Constant (2012): Constant assumes that rise-fall- rise is a ‘universal quantifier of assertable alternative unclaimability’.
  • 20. A ‘Manner’ Reading • The Maxim of Manner requires that the speaker thinks she is making herself understood, hence its violation would imply that the speaker lacks this belief. • Manner violations could in principle be as dramatic as Quality violations.
  • 21. The theory does not constrain the number of different readings a final rise may have, it does very rigidly constrain the kinds of readings that it may have: any reading should be understandable in terms of the violation of some rule of rational communication.
  • 22. • The theory cannot predict, for a given utterance, which of the many uses of the final rise is intended. • However, it does make very specific predictions as to what each of the readings exactly pertains to. If we add to these predictions a bit of contextual knowledge, then the ambiguity is easily resolved.
  • 23. • Quality: B is uncertain about her being a millionaire, and either depressed or very uninterested in finding out the truth of this proposition (because the rise is low). • Quantity: B knows more about A’s question than she said. Perhaps B is giving A a very obvious hint; or perhaps B happens to be a billionare reluctant to reveal it. • Relation: B is unsure about how this resolves A’s question. This can only be if B is unsure about A’s intended interpretation of ‘rich’ (say, because A is a billionaire). • Manner: B is unsure how to pronounce ‘millionaire’, or whether A knows the word.
  • 24. Conclusion and outlook This analysis is unifying, in the sense that: 1. it captures intuitions found in existing work, 2. it relies on machinery (e.g., the conversational maxims) that comes straight from the literature; 3. existing but thus far disconnected accounts of different uses of the final rise were reproduced, predicting four salient readings: Quality, Quantity, Relation and Manner.

Editor's Notes

  1. a precise formulation of the maxims, which I adopt from the literature.
  2. And while the Quantity and Relation readings pertain to what has not (yet) been asserted, the Quality reading pertains to the asserted proposition itself.
  3. Quality reading has been assigned primarily to a high (or steep) final rise (Gunlogson, 2003), while the Quantity and Relation readings have been assigned to a low final rise, with the Relation reading being associated in particular with the entire rise-fall-rise contour (Constant, 2012).
  4. Alternatively, one would have to treat the final rise as a speech act modifier, a possibility that is left unexplored in the present paper
  5. The following set of maxims is generally accepted as the minimal backbone, where the QUD is taken to be an explicit or implicit question under discussion: Although the final rise conveys that uttering the expression would violate a maxim, examples (1) to (3) above do not seem to involve any true noncooperativity 3. This is because a speaker may have a good reason for violating a maxim, namely that not doing so would have violated another maxim----- involving a clash between two maxims.
  6. Therefore, if a final rise marks the violation of a maxim, then typically a high rise will mark a violation of the Maxim of Quality, while a low rise indicates a less dramatic violation, i.e., the Maxim of Quantity or the Maxim of Relation.
  7. when B in (1b) is completely uninterested in the truth of her guess, the rise for a Quality reading is predicted to be less steep than usual; and when a speaker is very excited about the party guests on the list she is reading in (2a), the rises in her list intonation may be much higher than usual. This can be analyzed as an implicature: if B conveys (by means of the final rise) that she lacks the belief that John has a sister, even though A just said so, that might plausibly be because B finds it hard to believe.
  8. An implicature of the Quality reading that has received the most attention in the literature, is the contextual bias in favour of the proposition expressed The main ingredient of Truckenbrodt’s account of the final rise is that it indicates the speaker’s lack of belief in the proposition expressed a speaker who, by uttering a declarative ϕ, expresses her desire to make ϕ common ground, implies that she considers it possible that it will be common ground. If, at the same time, with the final rise, she conveys that her information state does not support ϕ, this implies that she considers it possible that the addressee’s information state will support it (for otherwise, it would not be possible for ϕ to become common ground).
  9. The Maxim of Quantity requires that the speaker gives the most informative answer that she thinks is true. Therefore, if a speaker indicates, by means of a final rise, that she is violating the Maxim of Quantity, this implies that she, with her final-rising utterance, does not give the most informative answer that she thinks is true, i.e., that she knows more than she says. Because a violation of Quantity is not very dramatic, the present account predicts that this reading typically occurs with a low final pitch, as seen in the literature A reason could be that the conversation is between a teacher and a student, where the teacher is not saying everything she knows. the speaker is breaking up what she knows into several pieces, giving one at a time, to facilitate reader comprehension: one violates Quantity because it clashes with Manner. final rise in lists indicates ‘unfinishedness
  10. The Maxim of Relation, recall, requires that the speaker’s utterance, relative to her information state, entails the QUD. it must be such that a violation of the Maxim of Relation yields exactly what I called the ‘Relation reading’ with a final fall, implicates that Mary and Bob weren’t at the party, (3b), with a final rise, implies uncertainty about precisely that. (This close connection between exhaustivity and the Relation reading is observed also by Constant (2012), who contrasts rise-fall-rise with ‘only’.)
  11. Intuitively, the question in (6) draws attention to the possibility that John came, the possibility that Mary came, and the possibility that Bob came (as well as combinations of these). The response, however, draws attention only to the possibility that John came; it leaves the other possibilities unattended, and it is in that sense not entirely related to the question.
  12. However, Ward and Hirschberg use the word ‘scale’ rather liberally, meaning, roughly, ‘QUD’ Crucially, Constant assumes that rise-fall-rise signifies not uncertainty but, merely, a lack of belief that the alternatives are true. This would mean that rise-fall-rise would be compatible with the speaker believing that all alternatives are false, i.e., with an exhaustivity implicature - which it isn’t. Indeed, the contribution of rise-fall-rise according to Constant would be equivalent to the standard Quantity implicature. In sum, I think that Constant’s (2012) account is too weak, and that the example he uses in favour of this weakness may have a different explanation
  13. This suggests that the final rise can be used for comprehension checking, a use which indeed surfaces in the literature, linked to features such as politeness However, the Manner reading is difficult to isolate. For instance, does mispronouncing a name or technical term make a statement false (Quality), or unclear (Manner)? Given that the tourist knows what she wants, and that it is available, the final rise cannot convey uncertainty about the proposition expressed (Quality). She also cannot be uncertain about what question she is addressing (Relation). If we assume that black coffee is all she wants (and that she is alone), a Quantity (list) reading is also ruled out, and the rise can really only pertain to her uncertainty as to whether she made herself understood: Manner.
  14. This enforces a particular mode of explanation for any new use of the final rise that might be discovered (just like Grice’s theory of pragmatics invites a particular mode of explanation for implicated content) theory would be falsified (or its generality challenged) if some use of the final rise is found that cannot be understood as the violation of a maxim (or, conversely, if some maxim violation is discovered that cannot be conveyed by a final rise).
  15. If A and B are both native speakers of English, the Manner reading is ruled out. If, in addition, B knows approximately how rich she is, which is likely, then the Quality reading is ruled out. If neither A nor B is a billionaire, then the only reading that makes sense is the Quantity reading, explained as B giving A a very obvious hint, perhaps because B is slightly annoyed by A’s stupid question. In sum, the ambiguity is quite easily resolved by contextual knowledge.
  16. question under discussion: QUD