Descriptive Indexicals and Epistemic Modality
In this paper I argue for a non-referential interpretation of some uses of indexicals embedded under epistemic modals. The so-called descriptive uses of indexicals come in several types and it is argued that those embedded within the scope of modal operators do not require non-referential interpretation, provided the modality is interpreted as epistemic. I endeavor to show that even if we allow an epistemic interpretation of modalities, the resulting interpretation will still be inadequate as long as we retain a referential interpretation of indexicals. I then propose an analysis of descriptive indexicals that combines an epistemic interpretation of modality with a non-referential interpretation of indexicals.
KeywordsEpistemic modals Descriptive indexicals General propositions Non-referential interpretation Descriptive anaphora Wide scope hypothesis
1 Descriptive Uses of Indexicals
He is usually an Italian, but this time they thought it wise to elect a Pole
[uttered by someone gesturing towards John Paul II as he delivers a speech with a Polish accent shortly after his election]
– MR. HAMILTON?
BE CAREFUL WHO YOU TALK TO ABOUT THIS MATTER.
I’M NOT P.K.I., BUT I MIGHT HAVE BEEN. 4
I might have been a communist
2 Metaphysical Interpretation of Modality
Utterance (2) is semantically consistent under the referential interpretation of the indexical and the metaphysical interpretation of the modality. Interpreted thus, it would express a modal proposition in this context, containing a singular proposition about the utterer of the sentence in its scope. Such a proposition is true if and only if that very person is a communist in some counterfactual situation. Yet that proposition is impotent as a warning: for Hamilton’s safety here, it is totally irrelevant who his current interlocutor is in a counterfactual situation, as long as he is not a communist in the actual situation. Somebody must be a communist in this world to put Hamilton in danger. For what has been uttered to work as a warning, we cannot interpret the modality as concerning the speaker’s properties in some other, counterfactual situation.
Accepting this kind of argument, Recanati (1993, p. 306) claims, however, that interpreting the modality as epistemic would allow us to retain the referential interpretation of ‘I’ in (2). This would be important, because admitting the need of a descriptive, i.e. general, interpretation of indexicals in some modal context threatens his thesis of the type-referentiality of indexicals. Even though I will try to show below that Recanati’s claim cannot be sustained, I think his proposal of the epistemic interpretation of the modal in (2) is intuitively correct and I will follow his suggestion below. This intuitive character of the epistemic interpretation of the modal is probably the reason why Recanati, as well as MacFarlane (p.c.), assume, without further argument, that the epistemic interpretation of the modal solves the problem of ‘alleged’ non-referential readings of some indexicals in modal contexts.
Because in example (2) we are concerned with modality in the subjunctive mode, however, the interpretation of the modality as epistemic is not straightforward. In Sect. 3 I will introduce extant interpretations of epistemic modality and show why most of them are inappropriate for the case analyzed. In Sect. 4 I will show why the one remaining epistemic interpretation of modality that is suitable for (2) still gives an inadequate reading of the whole utterance as long as we retain the referential reading of the indexical. I will then propose (Sect. 5) an analysis of example (2) that combines an epistemic interpretation of the modal with a descriptive interpretation of the indexical ‘I’, and which gives the intuitive reading of (2).
3 Epistemic Modality
The epistemic interpretation of modality is concerned with the knowledge of the speaker or hearer about the world he lives in. This knowledge is usually represented by the set of epistemically possible worlds, i.e. such worlds about which it is not excluded by what the speaker (or hearer) knows that they are the real world. As Lewis put it:
“The content of someone’s knowledge of the world is given by his class of epistemically accessible worlds. These are the worlds that might, for all he knows, be his world; world W is one of them iff he knows nothing, either explicitly or implicitly, to rule out the hypothesis that W is the world where he lives. […] Whatever is true at some epistemically […] accessible world is epistemically […] possible for him. It might be true, for all he knows […]. He does not know […] it to be false. Whatever is true throughout the epistemically […] accessible worlds is epistemically […] necessary; which is to say that he knows […] it, perhaps explicitly or perhaps only implicitly.” (Lewis 1986, p. 27)
Thus, according to the epistemic interpretation of modality, an utterance such as “φ might be the case” is true if and only if the truth of φ is not excluded by what the speaker (or hearer) knows in the moment of the utterance (DeRose 1991; von Fintel and Gillies 2008, 2011; MacFarlane 2011 or Kment 2012). In effect, the modality is relativized to the knowledge of a person or a group relevant in a context; usually it is relativized to the speaker. This relativisation is typically represented by an information base, also called a modal base (MB):
Definition 1 (epistemic possibility I) [von Fintel and Gillies 2008]
MightMB φ is true in w iff φ is true in some world that is MB-accessible from w
MB represents the relevant state of knowledge and MB-accessibility means consistence with this knowledge, so MB–accessibility is a kind of accessibility function between possible worlds. Thus, when I utter the sentence ‘Peter might still be at home’ I do not express the trivial proposition to the effect that there exists a metaphysically possible world in which Peter is now still at home, which is always true as far as contingent facts are concerned. I rather express a proposition comprising epistemic possibility: ‘From what I know it is not excluded that Peter is still at home’. So it might seem that the basic difference between metaphysical and epistemic modality is that when we know that φ is true, ‘Might ¬φ’ may only be interpreted metaphysically (as true); i.e. our knowledge that φ entails the falsity of ‘Might ¬φ’, if the modality is interpreted as epistemic.5
We should remember, however, that epistemic modality is relativized to the relevant state of knowledge and this does not always have to be the knowledge of the speaker—it may be the knowledge of the speaker or the hearer, or of both of them considered as a group (see DeRose 1991; MacFarlane 2011; von Fintel and Gillies 2011; Kijania-Placek 2012a). This intuitive difference between epistemic and metaphysical modality might thus require refinement. But in any case, the epistemic possibility must be consistent with some such knowledge state.
There must have been a power outage overnight
There might have been a power outage overnight
He might have won the game
He might have (already) won the game. [#but he didn’t]
At that point he might (still) have won the game but he didn’t in the end.
According to Condoravdi, the epistemic modality always takes a wide scope with respect to the operator of the past. The truth conditions of (5), with modality interpreted as epistemic, can thus be defined according to the following schema:
Definition 2 (epistemic modality II) [Condoravdi 2002, p. 61]
Might-have MB epist φ is true in 〈w, t〉 iff there exist w′, t′ such that w′ ∈ MB (w, t), t′ ≺ t and φ is true in 〈w′, t′〉.
Thus, according to Definition 2, we consider here the possibility about the past, from the point of view of the moment of utterance, because it is the knowledge state from the moment of utterance that is relevant, not the knowledge state form the past: ‘According to what we know now, he might have won the game’.6
The metaphysical interpretation of possibility, on the other hand, may be defined thus:
Definition 3 (metaphysical modality) [Condoravdi 2002, p. 63]
Might-have MB met φ is true in 〈w, t〉 iff there exist w′, t′, t″ such that t′ ≺ t, w′ ∈ MB (w, t′), t′ ≺ t″ and φ is true in 〈w′, t″〉.
Here we consider what has been true in the past and this is represented by the relativisation of the possibility to the state of knowledge at a moment in the past and not at the moment of utterance. According to Condoravdi, epistemic modality always scopes over the past operator: it is now possible, i.e. not excluded by what we now know, that it has been the case that φ.
Under the assumption of the mandatory wide scope of the modal operator, Fernando (2005) claims that the epistemic interpretation excludes the sustainability of the modal claim if we know that the embedded sentence is not true. So, although ‘John might have won’ may be interpreted as an epistemic possibility, ‘John did not win but he might have won’ allows only a metaphysical interpretation: ‘He might have won, had he listened to my advice. It was within his reach up to some point in time’. This particular example about John is quite convincing and seems to undermine the feasibility of the epistemic interpretation of the possibility in (2). After all, since the Indonesian claims that he is not a communist, his next utterance should not be interpreted as a claim of ignorance. We should remember though, that the inconsistency of claiming that ¬φ followed by ‘It might have been that φ’, where the modal is interpreted as epistemic, is based on the assumption that the knowledge state is relativized to the moment of utterance (the wide scope assumption). After the speaker said that he is not a communist, both the speaker and the hearer know that he is not a communist.
The keys might have been in the drawer
The authors do not give a detailed analysis of this example but claim that here the modality is in the scope of the tense operator. Portner proposes interpreting this case in the following way:
“This sentence has a meaning close to “Based on the evidence that I had in the past, it was possible that the keys were in the drawer.” (It also has a meaning with the expected scope, “Based on the evidence I have now, it is possible that the keys were in the drawer.”)” (Portner 2009, p. 169).
Many valuable things might have been there. The keys might have been in the drawer. You should have checked
Anyhow, the keys might have been in the drawer. You should have checked
4 Descriptive Indexicals in the Scope of Epistemic Modals
I am not a communist. But I might have been
Be careful who you talk to about this matter. I’m not P.K.I., but I might have been
You shouldn’t have done that, she might have been a dangerous criminal.
In this case, even reference to the child’s knowledge at the time before opening the door would not make an epistemic interpretation of the modal tenable as long as we retain the referential reading of ‘she’ in (9), because the child always knew that the grandmother was not a criminal (we assume that she was not). Thus the epistemic interpretation of the modal gives absurd results regardless of whose knowledge and at what time is taken into account if the knowledge concerns the grandmother herself. And a metaphysical interpretation of the modal fares no better as it gives either a trivial or a manifestly false (if we exclude the world in which the grandmother is a criminal from accessible worlds) proposition. The intended proposition expressed by (9) is a general one, concerning whoever is at the door.
What is required is a mechanism that would combine the epistemic interpretation of modals for cases such as (2) and (9) with non-referential interpretation of the indexicals. In what follows I will propose such an interpretation.
5 Descriptive Anaphora
5.1 The Mechanism of Descriptive Anaphora
I propose treating descriptive uses of indexicals as a special kind of anaphoric use which I call descriptive. In the mechanism of descriptive anaphora, the antecedent of the anaphora stems from the extra-linguistic context: it is an object identified through the linguistic meaning of the pronoun (in the case of pure indexicals) or by demonstration (for demonstratives). In a communication context, those objects serve as a means of expressing content and, as such, they acquire semantic properties.7 The antecedent is used as a pointer to a property corresponding to it in a contextually salient manner and that property contributes to the general proposition expressed. The context must be very specific in order to supply just one such property, which explains why there are not many convincing examples of the felicitous use of descriptive indexicals. The structure of the general proposition is determined by a binary quantifier, usually the very quantifier that triggered the mechanism of descriptive anaphora in the first place. The anaphora is descriptive in the sense that the antecedent does not provide a referent for the pronoun. It gives a property which is not a referent—the property retrieved from the context serves as a context set that limits the domain of the quantification of the quantifier (see Kijania-Placek 2012a, b, 2014, 2015 and (under review)).
My proposal should be seen as falling within the field of truth-conditional pragmatics, i.e. theories that allow that “pragmatics and semantics […] mix in fixing truth-conditional content” (Recanati 2010, p. 3) of the proposition expressed and according to which pragmatic contribution is not limited to providing values to indexical elements of a sentence (Jaszczolt 1999; Recanati 2004, 2010; Sperber and Wilson 1986, 2004; Carston 2002; Levinson 2000; Kamp 1981; Heim 1988; Magnano and Capone 2015). At the same time, I consider the descriptive interpretation of indexicals to be cases of non-presumptive meaning (Levinson 2000) and interpretations of not types but tokens of expressions. That is because I consider the descriptive use of an indexical not to be its basic use. The descriptive interpretation process is triggered exactly by the semantic inadequacy of its basic (presumptive, preferred) uses: deictic, (classically) anaphoric, or deferred.8 Typically, descriptive anaphora is triggered at the level of linguistic meaning by the use of quantifying words such as ‘traditionally’, ‘always’, or ‘usually’, whose linguistic meanings clash with the singularity of the default referential reading of indexicals (and those quantifiers need not be overt). As a result, the pronoun’s basic referential function is suppressed.
Treating descriptive interpretation of indexicals as cases of non-presumptive meaning does not automatically mean, however, that they should be treated on a par with implicatures or metaphorical meaning. Rather, paraphrasing an argument of Levinson, from the fact that in language after language all five functions, i.e. bound, anaphoric, deictic, deferred and descriptive, can be performed by the same pronominal expressions suggests that their semantic character simply encompasses all five (Levinson 2000, pp. 269–270).9 In effect, I propose that indexicals considered as a semantical type are semantically undetermined, allowing for bound, anaphoric, deictic, deferred and descriptive uses. And while descriptive interpretation is non-basic and parasitic on failures of the remaining interpretations, none of the basic interpretations is the singularly default one (see Jaszczolt 1999 for an opposing view). I will return to the consequences of this view for the semantics of indexicals at the end of this paper.
He is usually an Italian
usually x (pope(x), Italian(x)),
and usually has the truth conditions of the majority quantifier:
Mgi ⊨ usually x (φ(x), ψ(x)) iff |φMgi ∩ ψMgi| > |φMgi \ ψMgi|11
IND is Qψ ⇒ Qx(φ(x), ψ(x)),
In typical cases, descriptive anaphora is triggered by the use of adverbs of quantification in contexts in which they quantify over the same kind of entities that the indexicals refer to.13 In such contexts the generality of the quantifiers clashes with the singularity of the default referential reading of indexicals. Whether there is a clash is, however, a pragmatic matter, as it depends on the domain of quantification of the quantifier, which for most adverbs of quantification is not given as part of the semantics of the word (compare Lewis 1975). If ‘usually’ quantified over periods of time or events—like in ‘He is usually calm’14—there would be no conflict between ‘usually’ and ‘he’. Since in the case of descriptive uses of indexicals of this type it is the conflict between the generality of the quantifier and the singularity of the indexical which results in suppressing the referential reading of the indexical, both linguistic and extralinguistic context play a role here. The domain of quantification is dependent mainly on what is predicated of the objects quantified over (linguistic context) but in some cases it relies as well on such extra-linguistic features of context as world knowledge (see Kijania-Placek 2015). For example in (2)—in contrast to ‘He is usually calm’—a (relatively) static property is attributed to the subject, a property which typically does not change with time, but changes from person to person. And it is the attribution of this property that is a decisive factor in determining the domain of people as the domain of quantification in (2), leading to the descriptive interpretation of ‘he’. For the descriptive interpretation to be triggered, the predication must be non-accidental, in Aristotle’s sense, where “[a]n accident is something which […] belongs to the subject [but] can possibly belong and not belong to one and the same thing, whatever it may be” (Topics 102b5ff, Aristotle 2003). If a property is in this sense accidental, nothing prevents the hearer from considering different events or times at which it may be attributed to the same subject, leaving the possibility of a referential interpretation of the indexical uncompromised and thus not triggering the descriptive interpretation. At the same time, the property does not have to be an essential property of the relevant object, if by essential we mean a property that is metaphysically necessary. For example ‘being born in Italy’ is a non-accidental property that cannot be both attributed and denied of the same person, but, arguably, is not a necessary property. Still the use of ‘being born in Italy’ will trigger a descriptive interpretation of ‘he’ in ‘He is usually born in Italy’ in a context similar to that assumed for (1).15
5.2 Descriptive Indexicals in the Scope of Epistemic Modals
I might have been a communist
might-have epist exists x(warehouse-manager(x), communist(x)),
Mgi ⊨ exists x(φ(x), ψ(x)) iff |φMgi ∩ ψMgi| ≠ ∅.
She might have been a dangerous criminal
might-have epist the x(rings-the-bell(x), criminal(x)),
Mgi ⊨ the x(φ(x), ψ(x)) iff |φMgi| = 1 and φMgi ⊆ ψMgi,
and might-have epist is the epistemic modality relativized to the relevant in this context information base, i.e. the knowledge of the child at the moment of opening the door. We thus get: ‘Your knowledge at the moment of opening the door did not exclude it that the person who rung the bell was a dangerous criminal’.17
I have tried to show first that the recourse to an epistemic interpretation of modals is not sufficient to sustain a referential interpretation of indexicals embedded under modal operators in some contexts. If this claim is correct, Recanati’s (1993) thesis about the type-referentiality of indexicals requires amendment.18 It looks like indexicals are referential in some types of uses—deictic, (classically) anaphoric or deferred—while they are not referential in descriptive uses. Such a piecemeal analysis seems to be in the spirit of Kaplan (1989), who proposed a referential interpretation just for one type—deictic—of uses of indexicals. Additionally, the cases I have considered can be treated as counterexamples to the thesis of the necessary wide scope of modal operators interpreted epistemically.
Even though personal pronouns are usually used to refer to individuals already salient in the context and demonstratives such as ‘this’, ‘that’ or ‘that man’ are used for new objects (see Jaszczolt 1999), in both cases the property retrieved from the context must be salient—be it perceptually salient or salient in terms of the focus of the discussion—prior to the utterance in order for the descriptive interpretation to succeed. See Sect. 5.1 below.
Relevance plays a role in all types of descriptive uses of indexicals (see footnote 13), but its role as the trigger of the descriptive interpretation becomes prominent when the referential interpretation is consistent. In such cases, consideration of the type of the speech act, the purpose of the utterance and possible conflicts with other pragmatic presumptions (Macagno and Capone 2015) may induce the search for an alternative interpretation. Since the referential interpretation is consistent and fully propositional, a natural move might be to propose an analysis of such examples in terms of Grice’s particularized implicatures (see Stokke 2010; Grice 1989). I have argued against such an analysis in Kijania-Placek (2012a). Here allow me to highlight the fact that the descriptive interpretation may be retained under embeddings and in elliptic constructions, which is a phenomenon difficult to reconcile with treating such cases as implicatures. Additionally, examples such as (9) below would require attributing inconsistent beliefs to interlocutors (see Sect. 5.2 below), which, I think, makes them non-starters for the calculation of an implicature. Such an understanding of relevance considerations is in line with the work of Sperber and Wilson (1986, 2004) and Carston (2002), who insist on the role relevance plays is the reconstruction of the explicature. I do not place my proposal in the framework of relevance theory as such, because I wish to remain neutral as to the special cognitive commitments of this theory (such as the modularity of mind or the thesis that it is mental representations that refer to objects in the first place and words refer only indirectly). If a reader wants, however, to consider the proposal presented in Sect. 5 from within that theory, it should be seen as a detailed elaboration on the mechanisms that govern the interpretation of indexicals, and potentially other singular terms such as proper names [for a proposal of an analysis of proper names in proverbs via the mechanism of descriptive anaphora see Kijania-Placek (in preparation)].
‘P.K.I.’ is an abbreviation for ‘Partai Komunis Indonesia’.
Hacking and DeRose seem to treat it as a necessary condition of an epistemic interpretation of modality that the speaker does not know otherwise: “Whenever a speaker S does or can truly assert, “It’s possible that P is false,” S does not know that P” (DeRose 1991, p. 596). Compare Hacking (1967, pp. 149, 153).
An anonymous referee suggested that apart from considering the moment of utterance we should take into account the location of utterance as well: something may be possible from the perspective of here (where the river looks small), but not there (where the river looks large and unnavigable). But I think that since we relativize the knowledge base both to the relevant agent(s) and to time, that should automatically account for the place the agent(s) is(are) at that time without additional provisions, at least for the cases considered. It might transpire, however, that such an addition might be necessary in a fully general definition of epistemic possibility.
Deferred use of an indexical is when, for example, you use a personal pronoun while pointing at a photograph to talk about a person depicted in the photograph. Such uses were first distinguished by Nunberg (1978, 1993). The important difference between deferred and descriptive uses of indexicals is that in the former the proposition expressed by the utterance is still singular, it is just not about the object demonstrated—the photograph—but about the object related to the photograph by the relation of `being depicted in the photograph’ (for simplicity I assume that only one object is being depicted), while in descriptive uses a general proposition is expressed. For details about the difference between deferred and descriptive uses of indexicals see Kijania-Placek (2012a) and (under review).
Levinson’s argument originally concerned just bound, anaphoric and deictic uses of indexicals.
I use SmallCaps font style for formal counterparts of natural language quantifiers and predicates.
In what follows M is a model, g is an assignment of objects from the domain of the model to individual variables, i is a context, ⊨ is a satisfaction relation obtaining between a sentence (or an open formula) and a model and context, under an assignment; φ and ψ are open formulas, such as predicates, |A| signifies the cardinality of the set A, φMgi is the interpretation of formula φ in model M and context i under assignment g, “∩” and “\” are the standard set-theoretical operations of intersection and complement (compare Barwise and Cooper 1981; Peters and Westerståhl 2006; Kijania-Placek 2000).
An anonymous referee suggested that in this and similar examples the pronoun might possibly be analyzed as indexical over kinds, i.e. as functioning similarly to ‘the’ in “The tiger is an endangered species.” I agree that we could analyze the use of “he” in “He [pointing at a white tiger] is on the verge of extinction” as a case of (deferred) reference to the kind of white tiger (see footnote 8 for the difference between deferred and descriptive use of an indexical). But in this case we would treat the kind as a single abstract object (collective class or whatever kinds are in the ontological sense) and predicate a property that is applicable to such an objects, in contrast to attributing the property to individual tigers. In example (1), on the other hand, the property in question (being Italian) is applicable to individual popes and not to the property of being a pope or the kind of pope. For a more detailed argument against treating descriptive uses of indexicals as cases of reference to kinds see Kijania-Placek (2012a) and (under review).
I distinguish three types of descriptive uses of indexicals. They differ only with what triggers the mechanism of descriptive interpretation but the mechanism is the same in all cases. Only in the first type, exemplified by (1), the mechanism is triggered by an inconsistency between an indexical and a quantifier. In the second type, descriptive interpretation is triggered by the unavailability of basic interpretations, i.e. mainly the unavailability of a suitable referent in the context of utterance or the context of a reported belief (see Kijania-Placek 2012a and 2015). The third type of descriptive uses of indexicals is the case of irrelevance of the referential interpretation and it is exemplified by (2) and (9) below. See also Kijania-Placek (2012a), pp. 183–185, 205–223, 225–238.
Thanks to an anonymous referee for this example and for pointing out the need to clarify my presentation of this issue.
Thanks to an anonymous referee for insisting that I clarify this point.
The structure of the general proposition—here embedded in the modal operator—is provided by a binary quantifier and the quantifier is not always overt. If the sentence does not contain an overt quantifier, we reconstruct a covert binary quantifier, in analogy to the use of bare plurals for the expression of a quantified sentence. It will usually be the universal quantifier or the definite description, but which quantifier in particular is the relevant one is a contextual matter and depends mainly on what is predicated of the objects quantified over. Compare Carlson (1977) and Kratzer (1995). For the double—suppressive and constructive—role of context in descriptive interpretation of indexicals see Kijania-Placek (2015).
Thanks are due to an anonymous referee for suggesting that constructions such as "If I were you, φ” might provide further examples in favour of my thesis that some uses of indexicals require descriptive interpretations in the scope of modal operators. While I agree that such constructions indeed require descriptive interpretation of the indexical—since the point of such an utterance is to put yourself in somebody else’s shoes, it is both metaphysically impossible and inconceivable that the speaker is identical to the hearer—I do no think, contrary to the suggestion of the referee, that they are most naturally interpreted as indexicals embedded in the scope of epistemic modals. Rather, in interpreting such constructions I would suggest retaining a referential interpretation of “I” and relying on descriptive interpretation of “you”, an interpretation in which the semantic import of the indexical is a salient feature of the addressee. This interpretative move makes the metaphysical interpretation of the modal more salient: the speaker is considering φ from the point of view of a (metaphysically) possible word in which he, the speaker, is relevantly similar to the hearer, or finds himself in a relevantly similar situation. The details of such an analysis go, however, beyond the scope of this paper.
See Jaszczolt (1999) for a similar view.
This work has been partly supported by the (Polish) National Science Centre 2013/09/B/HS1/02013 grant. I would also like to thank my two anonymous referees for their insightful comments which have helped me to improve this paper.
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