# POSITIVE POLARITY ITEMS:

Save this PDF as:

Size: px
Start display at page:

## Transcription

1 POSITIVE POLARITY ITEMS: AN ALTERNATIVE BASED ACCOUNT ANDREEA CRISTINA NICOLAE Harvard University 1 Introduction The focus of this paper is on the polarity sensitive indefinite someone, whose distribution has been shown by Szabolcsi (2004) to be restricted in ways similar to that of other polarity sensitive items (henceforth PSIs). Taking her observations as a starting point, I propose that the distributional restrictions of these indefinites, commonly referred to as positive polarity items (henceforth PPIs), can be explained once we couch them in an alternative based semantics, i.e. Hamblin semantics (Hamblin, 1973). In doing so, we will accomplish three things: (i) offer an analysis of PPIs that can account for their varying distributional restrictions, (ii) capture the connection between PPIs on the one hand, and negative polarity items (henceforth NPIs) on the other, and (iii) provide independent support for the view that the polarity system should be analyzed in an alternative semantics framework. The paper is organized as follows. Sections 2 and 3 present the distribution of PPIs and the parallels between these items and NPIs. Section 4 introduces an analysis of NPIs couched in an alternative based framework. In Section 5, I propose an analysis of PPIs that allows for a sensible integration of these items within this framework and straightforwardly derives their distributional restrictions. The last section concludes and discusses some open issues. 2 The distribution of PPIs in English The distribution of PPIs in English has been carefully plotted out by Szabolcsi (2004). This section reviews her presentation of the distributional constraints that some type indefinites exhibit. 2.1 Clausemate negation PPIs in the scope of clausemate negation can only receive a wide scope reading, as seen in 1. The surface scope reading is unavailable, unless explicitly used in a denial context with a metalinguistic negation, as illustrated in 2. This work has benefited greatly from conversations with Gennaro Chierchia, Amy Rose Deal and Anamaria Fălăuş. I would also like to thank Lauren Clemens, Julie Li Jiang, Hazel Pearson, Greg Scontras and Hedde Zeijlstra, as well as the audiences at SuB16, SNEWS 2011, Harvard s Practicum series and NYU s semantics group. 475

2 476 Nicolae (1) I didn t see something. a. There is a thing such that I didn t see it. some>not b. *There is nothing that I saw. *not>some (2) A: I heard John talked to someone at the party yesterday. B: No, actually. John didn t F talk to someone. 1 However, not all negative environments disallow PPIs from their immediate scope at LF, as shown in 3. Descriptively, the operators that someone resists scoping under are those that qualify as strongly negative: clausal negation, negative quantifiers and without. (3) a. John didn t call someone. *not>some b. No one called someone. *no one>some c. John came to the party without someone. *without>some d. I rarely get help from someone. rarely>some e. At most five boys called someone. at most>some f. Few boys talk to some girls. few>some In addition to the cases in 3(d-f), also note that PPIs are allowed to take narrow scope with respect to an extra clausal negation. I illustrate this in 4. (4) a. I don t think that John called someone. not>[ CP some b. Nobody thinks that he called someone. nobody>[ CP some To summarize, these indefinites cannot survive in the scope of a strongly negative element such as clausal negation, negative quantifiers and without unless the negative element is extra clausal. 2.2 Intervention effects Szabolcsi (2004) further observes that PPIs can scope below a local negation as long as the indefinite is not in the immediate scope of the negative operator. In 5 the universal quantifiers every and always intervene at logical form between the negative operator and the indefinite. (5) a. Not every student said something. not>every>some b. John didn t say something at every party. not>every>some c. John doesn t always call someone. not>always>some 2.3 Rescuing effects Lastly, note that an otherwise infelicitous structure (*neg>some) can be rescued if it is embedded in a negative environment, regardless of the strength of the negative operator. (6) a. I don t think that John didn t call someone. not>not>some b. I doubt that John didn t call someone. doubt>not>some c. I m surprised that John didn t call someone. surprise>not>some d. Only John didn t call someone. only>not>some 1 I use the subscript F to represent a focused element.

3 Positive Polarity Indefinites: An alternative based account 477 These distributional restrictions call for a comparison between PPIs and NPIs given the fact that the contexts that license NPIs overlap with those that disallow, or anti license, PPIs. The next section presents an overview of these parallels. 3 Parallels between PPIs and NPIs This section offers a side-by-side comparison of PPIs and NPIs, looking specifically at how these indefinites converge and diverge with respect to their felicity in specific environments. 3.1 Convergence It is a well known property of NPIs that they are only acceptable in the scope of a downward entailing (DE) operator (Kadmon and Landman, 1993). 2 DE expressions guarantee the validity of inferences from general statements to more specific statements, i.e. from sets to subsets. They contrast with upward entailing (UE) expressions which only allow inferences from subsets to sets. In other words, DE expressions reverse entailment patterns. When any, an NPI, appears in a DE environment, the only possible reading is that of an existential indefinite in the scope of negation. This reading is ruled out when PPIs, also existential indefinites, occur in the scope of negation. 3 (7) a. I didn t see anything/*something. b. Nobody brought anything/*something. These data show that both NPIs and PPIs are sensitive to the monotonicity of their environments, albeit in opposite ways: NPIs can only occur in the scope of a DE operator, while PPIs cannot. These indefinites also converge with respect to the effect of intervening quantifiers. NPIs become ungrammatical in the scope of negation if there are any intervening quantifiers, as first discussed in Linebarger (1980). By contrast, the same elements that disrupt the DE environment required by the NPI can shield PPIs from negation, and thus allow for a narrow scope reading of the indefinite. In other words, both PPIs and NPIs are sensitive to the presence of intervening quantifiers, as shown in 8. (8) a. John didn t always read *anything/ something. b. Anna didn t tell everyone *anything/ something. 3.2 Divergence While prima facie it looks as though PPIs and NPIs are in complementary distribution, there are certain environments that do not discriminate between these two types of indefinites. One such environment is extra clausal negation. Unlike for PPIs, the locality of negation is irrelevant for NPI licensing. In other words, an NPI is licensed in the scope of a DE operator regardless of whether or not they belong to the same clause, contrary to PPIs which only resist narrow scope with respect to a local negation. 2 What I focus on here are weak NPIs like any and ever, as opposed to strong ones like in weeks. These are the most liberal in their distribution in that they occur in all types of DE environments unlike in weeks which is restricted to the scope of anti additive operators (van der Wouden, 1997). 3 The * here refers to the unavailability of the narrow scope reading of the indefinite.

4 478 Nicolae (9) a. I don t think that John called anyone/someone yesterday. b. Nobody believes that Bill called anyone/someone. Next, observe in 10 that NPIs are not sensitive to the presence of a second negation, which is in contrast with the facts presented in 6, where we saw that a second negation can rescue a PPI already in the scope of negation. (10) a. I doubt that Mary didn t talk to anyone/someone at the party yesterday. b. Nobody said that Mary didn t bring anything/something to the party. Lastly, note that the strength of negation is also a point of divergence between polarity sensitive items. NPIs are licensed in the scope of DE operators like few and at most five that are not also anti additive. On the other hand, PPIs can take narrow scope with respect to these DE operators, as shown in 11. (11) a. Few people talked to anyone/someone yesterday. b. At most five people said anything/something to me. 3.3 Interim conclusion The previous two subsections showed that while PPIs and NPIs are in complementary distribution in some environments, seen in 12a, there are certain contexts where the two types of indefinites overlap, in terms of both their distribution and the overall meaning, as shown in 12b. (12) a. Environment PPIs NPIs [ CP... PSI ] * [ CP neg... PSI ] * [ CP neg... Q... PSI] * b. Environment PPIs NPIs neg [ CP... PSI] [ CP few... PSI ] neg... neg... PSI Any analysis that hopes to unify these items would need to address the following issues. In some instances PPIs and NPIs appear to have complementary distributions, suggesting that they are sensitive to the same properties. At the same time, PPIs, but not NPIs, are sensitive to locality restrictions and require the presence of a second DE operator. In the following section I introduce a new approach to PSIs, one which takes these items to be dependent indefinites that, unlike regular scalar indefinites, obligatorily activate alternatives that need to be integrated into meaning. More specifically, this analysis derives the restricted distribution of these dependent indefinites as a result of the interaction between a syntactic requirement PSIs need to enter into an agreement relation with an exhaustifying operator and a semantic requirement imposed by the exhaustifying operator. 4 A unified approach to the polarity system For the remainder of this paper I adopt an analysis of polarity sensitive items that takes their restricted distribution to be a product of the interaction between the semantics of these items and the contexts in which they occur, following in large part the work in Chierchia (2011). Before delving into the realm of polarity sensitive items, however, let s first consider the case of scalar implicatures, a phenomenon closely related to the matter at hand.

5 Positive Polarity Indefinites: An alternative based account Scalar implicatures & silent exhaustification The main insight that I will adopt for this analysis is that scalar implicatures (henceforth SIs), should be viewed as a form of exhaustification of the assertion, an approach rigorously defended in Chierchia, Fox, and Spector (to appear). The authors argue that SIs come about as a result of active alternatives and the way the grammar chooses to use up these alternatives, via covert alternative sensitive operators that must apply at some point in the derivation in order to exhaust the active alternatives. Two such operators are assumed to be at work when calculating implicatures: O (covert counterpart of only) and E (covert counterpart of even). 4 (13) a. O(p) = p q ALT(p) [p q q] (the assertion p is true and any alternative q not entailed by p is false) b. E(p) = p q ALT(p) [p c q] ( c =less likely in context C) (the assertion p is true and any alternative q is at least as likely as p) Consider the examples below, where the relevant alternatives are brought about by association with focus (Rooth, 1992): (14) John talked to [a few] F of the students. a. Alternatives: {John talked to a few of the students, John talked to many of the students, John talked to most of the students, John talked to all of the students} b. O(John talked to [a few] F of the students) = John talked to a few of the students and he didn t talk to many/most/all of the students. (15) A: Was the party well attended? B: Yes, people were dancing [in the hallway] F! a. Alternatives: {People were dancing in the hallway, People were dancing in the dining room, People were dancing in the living room} b. E(People were dancing [in the hallway] F ) = (People were dancing in the hallway=1) (People were dancing in the hallway=1 is less likely than People were dancing in the dining/living room=1) In 14, exhaustification proceeds via O and thus it eliminates all non entailed alternatives, i.e. it negates all statements which, upon replacing the focused element with its alternatives, entail the assertion. Exhaustifying with E is more emphatic than exhaustification with O, and we can see this in 15 where exhaustifying via E strengthens the speaker s assertion by adding the implicature that people dancing in the hallway is less likely than people dancing in any other place. Focus is not a prerequisite for active alternatives, however. Scalar items, which are lexically endowed with alternatives, are also prone to this type of semantic enrichment. Relevant examples include the elements of a Horn scale: <one, two,... >, <or, and>, <some, many, all>, <few, no>, <sometimes, often, always>. If the context is such that the alternatives are relevant, then they will be activated and thus will have to be factored into the meaning via an exhaustification operator. Take for example 16 where we see that the scalar elements one and or have the potential to give rise to enriched meanings. (16) a. I talked to two boys yesterday. I didn t talk to three or more boys. 4 The only difference between the overt O and its covert version is that it asserts rather than presupposes that its prejacent is true. For the purposes of this exposition I will ignore this difference.

6 480 Nicolae b. I talked to Mary or John yesterday. I didn t talk to both of them. Beyond scalar alternatives, scalar items are also optionally endowed with sub domain alternatives. Fox (2007) convincingly argues for their presence based on the free choice effects observed with disjunction in the scope of possibility modals. That is, aside from the scalar alternative of the disjunction, the conjunction, we also have to take into account its sub domain alternatives, i.e. the individual disjuncts. Deriving the implicature in 17 would not be possible without also having access to the sub domain alternatives. I refer the reader to Fox (2007) for the details of how these alternatives are exhaustified so as to derive this implicature. (17) You can eat ice cream or cake. You can eat ice cream and you can eat cake. a. [eat ice cream eat cake] eat ice cream eat cake b. Scalar alt: [eat ice cream eat cake] c. Sub-Domain alt: eat ice cream, eat cake What we saw in this section is that we can derive SIs in a purely compositional way by looking at the interaction between alternatives and the method by which they get factored into meaning. We saw above two sources of alternative activation: focus on the one hand, and the lexical semantics of the scalar item on the other. In the above cases the alternatives, whatever their source, are only optionally available, as is supported by the fact that these SIs are cancelable. This optionality is precisely the dimension along which NPIs, and PSIs more generally, differ from their regular indefinite counterparts NPIs must obligatorily activate alternatives. This analysis of NPIs, pursued in Krifka (1995) and further advanced by Chierchia (2006) and Chierchia (2011), takes their distribution to be a product of the alternatives they activate and the way the grammar takes these alternatives into account. 4.2 NPIs from an alternative based perspective For the purposes of this overview I will focus on NPIs, noting however that this framework is equally capable of accounting for the distribution of free choice items. Krifka (1995) and Chierchia (2011), among others, assume that NPIs are minimally different from regular indefinites in that they obligatorily activate alternatives, which, like all instances of active alternatives, need to be factored into the meaning of the utterance. NPIs are commonly split into two main classes, the any type and minimizers like sleep a wink. The differences among them can be classified based on the type of alternatives they activate and the method in which these alternatives get factored into meaning. The remainder of this section deals with each type of NPI in turn. Consider the following dialogue, and in particular B s response which contains the NPI any. (18) A: Did Mary read books during her summer vacation? B: No, Mary didn t read any books. In using an NPI in her response, B conveys the meaning that Mary didn t read any of the books in the domain of discourse. In a sense, this response brings into discussion the existence of all types of books (books about cats, logic, cooking, etc.) and asserts that none of them are such that Mary read them. These types of books are precisely the sub domain alternatives claimed to always be active when an NPI like any is used. 5 I take NPIs to be existential indefinites that obligatorily 5 NPIs also have a scalar alternative, the conjunction of the disjuncts. However, in the scope of negation this alternative will always be weaker, and thus its role in the derivation negligible.

8 482 Nicolae something is true of d, then it must be true of d, given the monotonic structure of degree semantics. Since the alternatives entail the assertion, the requirements of E are not met. In DE, on the other hand, the entailment relations are reversed and the result of exhaustification is semantically coherent since all the alternatives are weaker, and hence more likely than the assertion, as in 21. (21) Mary didn t sleep a wink. a. Assertion: sleep(mary, d min ) b. Alternatives: { sleep(mary, d )]: d >d min } c. E(Mary didn t sleep a wink) = sleep(mary, d min ) d >d min [ sleep(mary, d min )] c [ sleep(mary, d )] One see then how these distributional restrictions can be explained straightforwardly as soon as a compositional semantics of NPIs is adopted. Essentially, what such an alternative based account says is that NPIs are low elements on a scale and, unlike regular indefinites, obligatorily activate alternatives. Their need to be in negative contexts falls out automatically once one looks at the interaction between the types of alternatives being activated and the way they are factored into meaning. For the purposes of this overview I assumed that the different types of PSIs are specified for which exhaustifier is invoked, i.e. they carry either a [+DE] or a [+D O] feature, which dictates which exhaustifying operator they can enter a checking relation with. 8 While this choice can be thought of as a form of agreement, the hope is to have a more principled analysis in the end. 9 5 Integrating PPIs within the polarity system In this section I turn to PPIs and argue for an alternative based account of their meaning, similar in nature to that presented for NPIs presented above. I begin by presenting the analysis of PPIs as dependent indefinites and follow by demonstrating how this analysis can straightforwardly explain the distributional restrictions I noted in Section PPIs as dependent indefinites: the ingredients The goal of this paper is to argue that PPIs are just another type of PSI and thus should be offered an account that can be couched in a unified, alternative based approach to polarity sensitivity. As reviewed above, the variation among different dependent indefinites can be reduced to two ingredients: the types of alternatives activated and the way they are factored into meaning. The main claim I want to advance in this paper is that PPIs, like NPIs, have active alternatives that require exhaustification. Unlike NPIs, however, they must activate a different set of alternatives from NPIs, since appealing to sub domains will not give us the attested distributional patterns. Given the existence of sub domain alternatives it is not inconceivable that some PSIs activate super domain alternatives instead. 10 This is precisely the direction I will pursue here. Essentially, we want PPIs to behave like minimal scalar items in the scope of negation. As far as their 8 Thanks to Hedde Zeijlstra (p.c.) for this suggestion. 9 Chierchia (2011) proposes an optimal fit principle that would take O as the default exhaustifier unless the alternatives being acted upon are linearly ordered with respect to entailment, as is the case with minimizers. 10 It remains to be determined if this can be argued for elsewhere in the polarity system, but one place we could begin with is the observation that free choice items that are otherwise restricted to non negative modal environments can, if stressed, be embedded in the scope of negation (Fălăuş (p.c.)).

9 Positive Polarity Indefinites: An alternative based account 483 alternatives are concerned, what this means is that they form a sequence of larger domains such that, when negated, each of them entails the assertion. One way to visualize this is as in the figure below in 22 where the smaller the domain, the fewer individuals it contains. (22) a. DE: entailment ( ) holds from sets to subsets D.D D ( x D [P(x)]) ( x D[P(x)]) all alternatives entail the assertion b. UE: entailment from subsets to supersets D.D D ( x D[P(x)]) ( x D [P(x)]) all alternatives are entailed by the assertion D D D Turning to the second component of this analysis, I argue that PPIs appeal to the same method of alternative exhaustification as minimizers do, i.e. via the E operator. As discussed in the previous section, there are two different types of exhaustification operators: any NPIs are exhaustified by O while minimizers are exhaustified by E. Assuming that the choice of operator is encoded in the feature carried by the PSI, I submit that PPIs carry the feature [+DE] which can only be checked by a c commanding operator carrying the same feature, i.e. E. 11 With these ingredients in place we can now move on to the account of the distributional restrictions presented in section Positive environments We saw before that PPIs are acceptable in any type of positive context, including plain episodic sentences. Consider the example in 23. Whenever a PSI is present in a structure we need to check that both the syntactic requirement checking the feature on the indefinite and the semantic requirements those imposed by the exhaustifying operator are satisfied. (23) John saw someone [+DE ]. a. Assertion: x D[saw(John,x)] b. Alternatives: { x D [saw(john,x)]: D D } Since PPIs are endowed with the [+DE] feature, an operator carrying the corresponding feature must be inserted in order to check the PPI s feature, namely E. In order for 23 to be semantically coherent, we need to check that the requirements of the E operator are satisfied. Recall that exhaustification via the E operator results in the assertion that all propositions containing an alternative of the PPI are more likely than the original proposition, with likelihood being defined in terms of entailment (see 24). (24) p c q if p q and q p (p is less likely than q if p entails q and q does not entail p) Given that the alternatives of the PPI are super domains and the entailments in 22 say that in UE contexts if something holds true of a domain it will hold true of any super domain (e.g. I saw a or b entails I saw a or b or c), it follows that the assertion will entail all the alternatives and thus be less likely than any of them, satisfying the requirement of the E operator. I formalize this in 25: (25) E [DE ] John saw someone [+DE ] = = x D[saw(John,x)] D.D D ( x D [saw(john,x)]) c ( x D [saw(john,x)]) D 11 I leave it to the reader to verify that exhaustification by O would give us the wrong results.

10 484 Nicolae 5.3 Clausemate negation Let s turn next the problematic case of PPIs in the scope of a clausemate negation. Consider the deviant sentence in 26. As before, we need to verify that both the syntactic and semantic requirements are met. The E operator is adjoined in order to check the feature on the indefinite, satisfying the syntactic requirement. Semantically however, this configuration is inconsistent given the entailment patters discussed in 22. Consider below what happens when we try to exhaustify. (26) *John didn t see someone [+DE ]. a. Assertion: x D[saw(John,x)] b. Alternatives: { x D [saw(john,x)]: D D } c. E [DE ] John didn t see someone [+DE ] = = x D[saw(J,x)] D.D D ( x D [saw(j,x)]) c ( x D [saw(j,x)]) Unlike in the positive case, the alternatives acted upon by the E operator are now negated, and thus a contradiction will arise in virtue of the assertion being entailed by the alternatives (e.g. I didn t see a or b or c entails I didn t see a or b). To reiterate, this is contrary to the requirement of E, which calls for the alternatives to be entailed by the assertion, i.e. be more likely than the assertion. Exhaustification operators are assumed to be propositional and therefore adjoin at the IP level, above the locus of negation. In the case of metalinguistic negation where the PPI can be interpreted with narrow scope as long as the negation is focused, the present analysis would predict that the negation has to undergo movement to a focus position, higher in the clause than the IP, thus allowing for the exhaustification of the PPI to occur below negation where it proceeds coherently. 5.4 Intervention effects Observe the contrast in 27 where we see that a universal quantifier intervening between the PPI and the negation at LF can rescue the otherwise deviant configuration [neg... PPI]. (27) a. *John didn t give Mary something. *neg>ppi b. John didn t give everyone something. neg> >PPI The only cases of intervention that have been dealt with in the framework of alternative based semantics for PSIs are those involving an implicature inducing element intervening between the DE operator and an NPI. Relevant examples are provided below in (28) a. John didn t (*always) read any novels. b. Anna didn t tell (*everyone) to eat anything. The proposal, as advanced by Chierchia (2006) and Gajewski (2011), says that in the sentences above universal quantifiers such as always and everyone disrupt the DE ness required by the NPI to survive. Being scalar items with the potential of having active alternatives, these quantifiers find themselves in a structural position where they must obligatorily activate their scalar alternatives, i.e. the scope of an exhaustifying operator. 13 Once these alternatives are taken into account, the 12 Intervention by presuppositional elements is also attested. For details on a possible approach to the integration of presuppositional elements within the domain of interveners, I refer the reader to Homer (2011b) and Chierchia (2011). 13 I assume this obligatory activation of alternatives is due to a syntactic checking condition which states that whenever an alternative bearing element finds itself in the scope of an exhaustifying operator its alternatives need to be taken into account in the calculation of implicatures.

11 Positive Polarity Indefinites: An alternative based account 485 previously DE environment created by the negation is no longer DE due to the implicatures brought about by the intervening quantifiers, as shown below. (29) John didn t always read any novels. John sometimes read any novels. In effect, what happens in this case is that the NPI ends up being exhaustified in an UE environment, which results in semantic deviance. Returning to the cases involving PPIs and intervention, I will now show how this analysis carries over. Unlike with NPIs, an intervening universal rescues the otherwise illicit configuration, allowing the PPI to scope under the negation. As before, the idea is that the universal quantifier, being in a DE context, gives rise to an SI that reverses the entailment inferences, from DE to UE. (30) John didn t always call someone. John sometimes called someone. We see then that once the SIs of the quantifier are taken into account, the PPI finds itself in a UE context, a context that allows for the consistent exhaustification of the PPI. 5.5 Extra clausal negation A crucial characteristic that distinguishes PPIs from NPIs is the fact that PPIs, and not NPIs, exhibit what appears to be a locality restriction. I repeat the relevant data below where we see that the locality of negation with respect to the PPI is critical to the availability of a narrow scope reading. (31) a. John didn t hear someone. *neg>some b. I don t think that John heard someone. neg>[ CP some This locality restriction can be shown to fall out immediately under this present approach which takes the distribution of PPIs to be the result of their semantic and syntactic requirements. The reason why the PPI can be interpreted as a narrow scope indefinite in 31b but not 31a rests on the fact that the exhaustification operator can adjoin below the negation in 31b but not in 31a, allowing the PPI to be interpreted as a regular indefinite in the former but not the latter. Given that E is an IP level operator, in the case of an extra clausal negation there exists an intermediate position above the PPI and below the negation where E can adjoin, a position not available with clausemate negation. In other words, we have the following LF scope relations for these cases: (32) a. scope relations at LF for 31a: E > neg > PPI semantic deviance b. scope relations at LF for 31b: neg > E > PPI narrow scope reading Let s consider in more detail what happens in 31b. The PPI someone carries the [D E ] feature which needs to be checked by an operator carrying the same feature, namely E. Syntactically, this operator could enter the derivation at any IP level position above the PPI. Semantically, however, it needs to be lower than negation, otherwise the requirements of the E operator would not be satisfied since the alternatives of the PPI, if negated, would all be stronger and thus less likely than the assertion. In the case of 31b, E can adjoin at the IP level of the embedded clause, above the PPI and yet under the negation. Once exhaustified, the PPI s assertive component will be equivalent to that of an indefinite, and 31b will end up being interpreted as having an indefinite in the scope of negation. In 31a, on the other hand, the IP level where E can adjoin ends up being above the negation, and as discussed in detail in the previous section, this E > neg > PPI configuration leads to a semantic crash. The reason why the NPIs I have considered so far do not exhibit similar

12 486 Nicolae locality restrictions is because in their case, the semantic requirement is satisfied as long as the exhaustification operator can adjoin higher than the negation, a condition which will never be incompatible with the syntactic requirement. 5.6 Other DE environments Given the analysis I presented up to this point, one would be in a position to draw the following descriptive generalization regarding the distribution of PPIs: any clausemate entailment reversal operator, i.e. DE operator, precludes PPIs from taking narrow scope. However, looking at the data below one can see that this generalization falls apart since another environment where NPIs and PPIs overlap in their distribution is in the presence of DE operators such as few and at most five. (33) a. Few/at most five students talked to anyone yesterday. few>anyone b. Few/at most five students talked to someone yesterday. few>someone In subsection 5.3 I showed that in the presence of clausemate negation, a DE operator, PPIs cannot have a narrow scope reading. Since few is a DE operator, we would expect PPIs to exhibit similar behavior in the scope of this operator as well, contrary to the data in 33. If we look back at the account I provided for extra clausal negation, we can see why this generalization breaks down. The reason has to do with the fact that DE operators such as few on one hand, and not on the other, occupy different positions in the clause. More specifically, while sentential negation occurs somewhere between the IP and VP level, i.e. lower than the target of adjunction of E, operators such as few and at most five are generated in the subject position, meaning that the nominal constituent which contains them must undergo EPP driven movement to a position higher in the clause, above the adjunction target of E. We see then that the difference between these two classes of operators is not due to a semantic divide (DE versus anti additive operators), but rather to their syntactic position. Few and the like are interpreted high enough in the clause that the exhaustifying operator can adjoin and check for semantic consistency below them, in an UE context where no deviance arises Rescuing by negation In this section I discuss the rescuing by negation facts. We see that if we further embed the sentence in 34 in a DE context as in 35, and then proceed with the exhaustification, the result will be consistent. Being embedded under two DE operators is equivalent to being in a positive environment since the entailment relations are restored. Given that the alternatives are super domains, the requirements of E are satisfied as every alternative is weaker and thus more likely than the assertion. The derivation is illustrated below. (34) John didn t see someone [+DE ]. *neg>some (35) I doubt that John didn t see someone 15 [+DE ]. neg>neg>some a. Assertion: ( x D[saw(John,x)]) b. Alternatives: { ( x D [saw(john,x)]): D D } 14 We know independently from scope interactions that quantified subjects are interpreted in the highest position and do not reconstruct to their base position except to produce an inverse scope reading. 15 Doubt creates a DE environment, as supported by its ability to license NPIs.

13 Positive Polarity Indefinites: An alternative based account 487 c. E D [I doubt that John didn t see someone [+D] ]= = ( x D[saw(John,x)]) D.D D ( ( x D [saw(john,x)])) c ( ( x D [saw(john,x)])) = x D[saw(John,x)] D.D D ( x D[saw(John,x)]) c ( x D [saw(john,x)]) It s worth noting that the second layer of negation does not have to be a sentential negation as long as it can support entailment reversal inferences. So while few and at most five are ruled out as PPI anti licensers on syntactic grounds, i.e. not being low enough to disallow an operator from exhaustifying the PPI directly, they do qualify as good rescuers since they have the capacity of reversing the entailment inferences, and therefore feed a consistent exhaustification via E as long as the operator is adjoined higher than them. The idea is that any higher DE operator will be able to reverse the entailment inferences and revert back to a situation where the alternatives are all entailed by the assertion, as imposed by the exhaustifying operator. Lastly, it appears that DE operators are not the only ones capable of salvaging an otherwise illicit configuration. Homer (2011a) presents the data in 36 as evidence against an analysis à la Szabolcsi s double licensing which takes PPIs to be rescued by two stacked NPI licensers. (36) a. I m glad you didn t buy me something. glad>neg>some b. I hope he didn t steal something. hope>neg>some c. Make sure that he didn t steal something! make sure>neg>some Prima facie it appears to be the case that glad, hope and make sure are not DE and thus cannot license NPIs. Crnič (2011), however, notes that overt instances of even are often attested in the scope of non negative desire statements, as well as in imperatives. He even goes so far as showing that these types of operators can also license stressed any, which according to Krifka (1995) should be analyzed as being exhaustified via E. The relevant examples are provided in 37. (37) a. I hope to someday make even ONE video of that quality. b. Show me even ONE party that cares for the people. c. I am glad that ANYONE likes me. The details of Crnič s analysis are beyond the scope of this paper, but in a nutshell, his analysis shows that if we allow even to scope above the relevant operators (whether in its overt or covert instantiations), the interaction between its semantics and that of the desire and imperative operators will yield consistent inferences, i.e. have the prejacent be less likely than its alternatives. What this means for the present analysis is that inserting E above these operators will allow for consistent exhaustification of the PPI since, in effect, this analysis predicts that the neg > PPI configuration will behave like an NPI in need of exhaustification by E. Given that in the current analysis the acceptability of PPIs rests on their ability to be consistently exhaustified via E, the data in 36 are not only consistent with this alternative based account, but in fact offer independent support for the choice of exhaustifier (E over O).

14 488 Nicolae 6 Conclusion In this paper I have argued that PPIs can and should be integrated into the more general polarity system by adopting a framework that analyzes the dependency of these items as an interaction between their lexical semantics, activation of super domain alternatives, and the method in which they compose with the other elements of the structure, by exhaustification via a covert operator E. Adopting this analysis allows us to account for the distributional differences noted in Sections 2 and 3, namely a PPI s behavior with respect to negation, the syntactic position of an entailment reversing operator, intervention and rescuing facts. This proposal enables us to see what PPIs have in common with, and how they differ from other polarity sensitive items. Future research needs to probe further into the distribution of exhaustification operators and provide independent support for the claim that they should be analyzed as IP level operators. This paper has also not touched upon cross linguistic variation within the domain of PPIs, an area which will undoubtably shed more light on this topic. References Chierchia, Gennaro Broaden your views. implicatures of domain widening and the logicality of language. Linguistic Inquiry 37: Chierchia, Gennaro Meaning as inference: the polarity system. Ms. Harvard. Chierchia, Gennaro, Danny Fox, and Benjamin Spector. to appear. The grammatical view of scalar implicatures and the relationship between semantics and pragmatics. In Handbook of semantics. Crnič, Luka How to get even with desires. In Proceedings of SALT 21. Fox, Danny Free Choice Disjunction and the Theory of Scalar Implicatures. In Presupposition and Iimplicature in Compositional Semantics, ed. Uli Sauerland and Penka Stateva, New York: Palgrave Macmillan. Gajewski, Jon Licensing Strong NPIs. Natural Language Semantics 19: Hamblin, C. L Questions in montague english. Foundations of Language 10. Homer, Vincent. 2011a. On the dependent character of PI licensing. SALT 2011 Handout. Homer, Vincent. 2011b. Polarity and Modality. Doctoral Dissertation, UCLA. Kadmon, Nirit, and Fred Landman Any. Linguistics and Philosophy 16. Krifka, Manfred The semantics and pragmatics of polarity items. Linguistic Analysis 25. Lahiri, Utpal Focus and negative polarity in Hindi. Natural Language Semantics 6. Linebarger, Marcia C The Grammar of Negative Polarity. Doctoral Dissertation, MIT. Rooth, Mats A theory of focus interpretation. Natural Language Semantics 1: Szabolcsi, Anna Positive polarity negative polarity. Natural Language and Linguistic Theory 22: van der Wouden, Ton Negative contexts: Collocation, polarity and multiple negation. London: Routledge.

### AnInterval-Based Semantics for Degree Questions: Negative Islands and Their Obviation

AnInterval-Based Semantics for Degree Questions: Negative Islands and Their Obviation Márta Abrusán and Benjamin Spector InstitutJean-Nicod(CNRS,Paris) and Harvard University Introduction The goal of this

### The compositional semantics of same

The compositional semantics of same Mike Solomon Amherst College Abstract Barker (2007) proposes the first strictly compositional semantic analysis of internal same. I show that Barker s analysis fails

### Do we need Structured Question Meanings? Two Approaches to Questions

Do we need Structured Question Meanings? Manfred Krifka Humboldt-Universität & Zentrum für Allgemeine Sprachwissenschaft (ZAS) Berlin http://amor.rz.hu-berlin.de/~h2816i3x Two Approaches to Questions The

### Examining domain widening and NPI any 1 Ana Arregui University of Ottawa

Examining domain widening and NPI any 1 Ana Arregui University of Ottawa 1. Introduction This squib examines domain widening (DW) as used in the analysis of NPI any. Since Kadmon and Landman s (1993) influential

### The Semantics of Even and Negative Polarity Items in Japanese

The Semantics of Even and Negative Polarity Items in Japanese Kimiko Nakanishi University of Calgary 1. Scope Theory vs. Lexical Theory of Even The focus particle even introduces an implicature (or a presupposition)

### Semantics and Generative Grammar. Quantificational DPs, Part 3: Covert Movement vs. Type Shifting 1

Quantificational DPs, Part 3: Covert Movement vs. Type Shifting 1 1. Introduction Thus far, we ve considered two competing analyses of sentences like those in (1). (1) Sentences Where a Quantificational

### Is the Symmetry Problem Really a Problem?

Is the Symmetry Problem Really a Problem? Eliza Block The Symmetry Problem 1 is a simple and powerful challenge to the Gricean explanation of a certain class of Quantity implicatures, to the effect that

### Modal concord Conditionals Disjunction Superlative and comparative quantifiers. At least et al. Bart Geurts. Bart Geurts: At least et al.

At least et al. Bart Geurts The story in a nutshell Superlative quantifiers ( at least 7 wombats ) are quite different from comparative ones ( more than 6 opossums ). Superlative quantifiers are modal

### CHAPTER 7 GENERAL PROOF SYSTEMS

CHAPTER 7 GENERAL PROOF SYSTEMS 1 Introduction Proof systems are built to prove statements. They can be thought as an inference machine with special statements, called provable statements, or sometimes

### Examining domain widening and NPI any 1. Ana Arregui. University of Ottawa

Examining domain widening and NPI any 1 University of Ottawa 1. Introduction This squib examines domain widening (DW) as used in the analysis of NPI any. Since Kadmon and Landman s (1993) influential proposal

### Likewise, we have contradictions: formulas that can only be false, e.g. (p p).

CHAPTER 4. STATEMENT LOGIC 59 The rightmost column of this truth table contains instances of T and instances of F. Notice that there are no degrees of contingency. If both values are possible, the formula

### The dynamics of subjectivity

Proceedings of SALT 23: 276 294, 2013 The dynamics of subjectivity Nicholas Fleisher University of Wisconsin Milwaukee Abstract I adapt the dynamic framework for vagueness of Barker 2002 to the analysis

### Frege s theory of sense

Frege s theory of sense Jeff Speaks August 25, 2011 1. Three arguments that there must be more to meaning than reference... 1 1.1. Frege s puzzle about identity sentences 1.2. Understanding and knowledge

### Two Sides of the Same Pragmatic Move: The German Discourse Particles Etwa and Nicht * Simone Gieselman and Ivano Caponigro

Two Sides of the Same Pragmatic Move: The German Discourse Particles Etwa and Nicht * Simone Gieselman and Ivano Caponigro University of California, San Diego 1. Introduction The German words nicht and

### PÁZMÁNY PÉTER KATOLIKUS EGYETEM BÖLCSÉSZETTUDOMÁNYI KAR

PÁZMÁNY PÉTER KATOLIKUS EGYETEM BÖLCSÉSZETTUDOMÁNYI KAR DOKTORI DISSZERTÁCIÓ HALM TAMÁS THE GRAMMAR OF FREE-CHOICE ITEMS IN HUNGARIAN THESIS BOOKLET NYELVTUDOMÁNYI DOKTORI ISKOLA ELMÉLETI NYELVÉSZET MŰHELY

### COMPARATIVES WITHOUT DEGREES: A NEW APPROACH. FRIEDERIKE MOLTMANN IHPST, Paris fmoltmann@univ-paris1.fr

COMPARATIVES WITHOUT DEGREES: A NEW APPROACH FRIEDERIKE MOLTMANN IHPST, Paris fmoltmann@univ-paris1.fr It has become common to analyse comparatives by using degrees, so that John is happier than Mary would

### Dispelling the Cloud of Unknowing

Dispelling the Cloud of Unknowing Chris Collins Paul M. Postal New York University June 2015 Abstract: Collins and Postal (2014) present an argument for a syntactic analysis of Classical NEG Raising based

### Introduction : Alternatives in semantics and pragmatics

Introduction : Alternatives in semantics and pragmatics Anamaria Falaus To cite this version: Anamaria Falaus. Introduction : Alternatives in semantics and pragmatics. Alternatives in Semantics, Palgrave

### Estudios de Asia y Africa Idiomas Modernas I What you should have learnt from Face2Face

Estudios de Asia y Africa Idiomas Modernas I What you should have learnt from Face2Face 1A Question Forms 1.1 Yes-No Questions 1. If the first verb is an auxiliary verb, just move it in front of the Subject:

### Sounds Like Like. Peter Lasersohn. University of Rochester. Abstract: It is argued that the verb sound is ambiguous between

Sounds Like Like Peter Lasersohn University of Rochester Abstract: It is argued that the verb sound is ambiguous between one reading where it denotes a two-place relation between individuals and properties,

### CHAPTER 3. Methods of Proofs. 1. Logical Arguments and Formal Proofs

CHAPTER 3 Methods of Proofs 1. Logical Arguments and Formal Proofs 1.1. Basic Terminology. An axiom is a statement that is given to be true. A rule of inference is a logical rule that is used to deduce

### Scanlon and the claims of the many versus the one

288 michael otsuka the Kantian principle is true, so is Weak PAP; and Frankfurter s known arguments in opposition to PAP are in conflict with this basic Kantian moral intuition. 5 Bar-Ilan University Ramat

### Punctual Until as a Scalar NPI

27 Punctual Until as a Scalar NPI Cleo Condoravdi 27.1 Introduction It is well known that until-phrases behave di erently with telic and atelic event descriptions. When construed with telic event descriptions

### Introduction: Presuppositions in Context Theoretical Issues and Experimental Perspectives

Introduction: Presuppositions in Context Theoretical Issues and Experimental Perspectives Florian Schwarz Abstract A central issue in semantics and pragmatics is to understand how various different aspects

### Logic in general. Inference rules and theorem proving

Logical Agents Knowledge-based agents Logic in general Propositional logic Inference rules and theorem proving First order logic Knowledge-based agents Inference engine Knowledge base Domain-independent

### On the rise and fall of declaratives

In Reich, Ingo et al. (eds.), Proceedings of Sinn & Bedeutung 15, pp. 1 16. Universaar Saarland Unversity Press: Saarbrücken, Germany, 2011. On the rise and fall of declaratives Tue Trinh MIT tuetrinh@mit.edu

### A Typological Approach to the Split Scope Readings of Negative Indefinites 1

BLS 34, No 1 2008. DOI: http://dx.doi.org/10.3765/bls.v34i1.3577 (published by the Berkeley Linguistics Society and the Linguistic Society of America) A Typological Approach to the Split Scope Readings

### A Primer in the Semantics of English

A Primer in the Semantics of English Some Nuts and Bolts 2000-2010 by Terence Parsons A Primer in the Semantics of English Some Nuts and Bolts Chapter 0: Preliminary Issues 0.1 What Sentences Do 0.2 Standing-for

### Pragmatic Meaning (Ch. 4 from Chierchia & McConnell-Ginet)

Ling216: Pragmatics II Maribel Romero April 20, 2010 Pragmatic Meaning (Ch. 4 from Chierchia & McConnell-Ginet) 1. Literal meaning vs. utterance meaning. (1) UTTERANCE MEANING What the utterer meant by

### The Double Lives of Objects: An Essay in the Metaphysics of the Ordinary World

252 The Double Lives of Objects: An Essay in the Metaphysics of the Ordinary World, by Thomas Sattig. Oxford: Oxford University Press, 2015, 288 pages, ISBN 9780199683017 (hbk). In The Double Lives of

### [Refer Slide Time: 05:10]

Principles of Programming Languages Prof: S. Arun Kumar Department of Computer Science and Engineering Indian Institute of Technology Delhi Lecture no 7 Lecture Title: Syntactic Classes Welcome to lecture

### Movement and Binding

Movement and Binding Gereon Müller Institut für Linguistik Universität Leipzig SoSe 2008 www.uni-leipzig.de/ muellerg Gereon Müller (Institut für Linguistik) Constraints in Syntax 4 SoSe 2008 1 / 35 Principles

### Kant s deontological ethics

Michael Lacewing Kant s deontological ethics DEONTOLOGY Deontologists believe that morality is a matter of duty. We have moral duties to do things which it is right to do and moral duties not to do things

### Vocabulary and Its Importance in Language Learning

1 Vocabulary and Its Importance in Language Learning This book is about vocabulary teaching, but it is necessary first to establish what vocabulary means to focus on teaching it. This introductory chapter

### Constraints in Phrase Structure Grammar

Constraints in Phrase Structure Grammar Phrase Structure Grammar no movement, no transformations, context-free rules X/Y = X is a category which dominates a missing category Y Let G be the set of basic

### I. Thinking and Thinking About Thinking A. Every human being thinks and thinks continually, but we do little thinking about our thinking.

Philosophy 3304 Introduction to Logic Logic and World Views I. Thinking and Thinking About Thinking A. Every human being thinks and thinks continually, but we do little thinking about our thinking. B.

### Cross-linguistic differences in the interpretation of sentences with more than one QP: German (Frey 1993) and Hungarian (É Kiss 1991)

Cross-linguistic differences in the interpretation of sentences with more than one QP: German (Frey 1993) and Hungarian (É Kiss 1991) 1. Quantifier Scope in English (May 1977, 1985) Predictions of May

### Language Meaning and Use

Language Meaning and Use Raymond Hickey, English Linguistics Website: www.uni-due.de/ele Types of meaning There are four recognisable types of meaning: lexical meaning, grammatical meaning, sentence meaning

### PHP Debugging. Draft: March 19, 2013 2013 Christopher Vickery

PHP Debugging Draft: March 19, 2013 2013 Christopher Vickery Introduction Debugging is the art of locating errors in your code. There are three types of errors to deal with: 1. Syntax errors: When code

### An Innocent Investigation

An Innocent Investigation D. Joyce, Clark University January 2006 The beginning. Have you ever wondered why every number is either even or odd? I don t mean to ask if you ever wondered whether every number

### Completeness, Versatility, and Practicality in Role Based Administration

Completeness, Versatility, and Practicality in Role Based Administration Slobodan Vukanović svuk002@ec.auckland.ac.nz Abstract Applying role based administration to role based access control systems has

### Math 3000 Section 003 Intro to Abstract Math Homework 2

Math 3000 Section 003 Intro to Abstract Math Homework 2 Department of Mathematical and Statistical Sciences University of Colorado Denver, Spring 2012 Solutions (February 13, 2012) Please note that these

### THE ENGLISH SENTENCE

THE ENGLISH SENTENCE (Materials based on: Huddleston, R. & Pullum, G.K. (Eds.)., 2002. The Cambridge Grammar of the English Language. London: CUP and Greenbaum, S., & Quirk, R. 1990. A Student's Grammar

### Phil 420: Metaphysics Spring 2008. [Handout 4] Hilary Putnam: Why There Isn t A Ready-Made World

1 Putnam s Main Theses: 1. There is no ready-made world. Phil 420: Metaphysics Spring 2008 [Handout 4] Hilary Putnam: Why There Isn t A Ready-Made World * [A ready-made world]: The world itself has to

### Journal of Philosophy, Inc.

Journal of Philosophy, Inc. Counterparts of Persons and Their Bodies Author(s): David Lewis Reviewed work(s): Source: The Journal of Philosophy, Vol. 68, No. 7 (Apr. 8, 1971), pp. 203-211 Published by:

### There are differences in constituent ordering within the determiner phrase (DP) between

There are differences in constituent ordering within the determiner phrase (DP) between English and Romance language though they are head-initial languages. The noun (N) is in the right edge within the

### PENNSYLVANIA COMMON CORE STANDARDS English Language Arts Grades 9-12

1.2 Reading Informational Text Students read, understand, and respond to informational text with emphasis on comprehension, making connections among ideas and between texts with focus on textual evidence.

### UNBOUND ANAPHORIC PRONOUNS: E-TYPE, DYNAMIC, AND STRUCTURED-PROPOSITIONS APPROACHES

FRIEDERIKE MOLTMANN UNBOUND ANAPHORIC PRONOUNS: E-TYPE, DYNAMIC, AND STRUCTURED-PROPOSITIONS APPROACHES ABSTRACT. Unbound anaphoric pronouns or E-type pronouns have presented notorious problems for semantic

### Basic Notions of Information Structure *

Basic Notions of Information Structure * Manfred Krifka Humboldt Universität zu Berlin and Zentrum für Allgemeine Sprachwissenschaft, Berlin Abstract. This article takes stock of the basic notions of Information

### Improved Software Testing Using McCabe IQ Coverage Analysis

White Paper Table of Contents Introduction...1 What is Coverage Analysis?...2 The McCabe IQ Approach to Coverage Analysis...3 The Importance of Coverage Analysis...4 Where Coverage Analysis Fits into your

### Towards a Pragmatic Category of Conditionals: A Radical Contextualist Account

The 88 th Joint Session of the Aristotelian Society and the Mind Association Fitzwilliam College, 11-13 July 2014 Towards a Pragmatic Category of Conditionals: A Radical Contextualist Account Chi-Hé Elder

### Some Epistemic Indefinites * Luis Alonso-Ovalle and Paula Menéndez-Benito. University of Massachusetts, Amherst

Some Epistemic Indefinites * Luis Alonso-Ovalle and Paula Menéndez-Benito University of Massachusetts, Amherst 1. Epistemic Indefinites. Across languages, we find indefinites that overtly mark a speaker

### Summary, Discussion and Conclusions

7 Summary, Discussion and Conclusions 7.1 Introduction In the past four decades, children s non-adult-like understanding of quantified sentences has been explained in syntactic, semantic or pragmatic terms

### Julia Hirschberg. AT&T Bell Laboratories. Murray Hill, New Jersey 07974

Julia Hirschberg AT&T Bell Laboratories Murray Hill, New Jersey 07974 Comparing the questions -proposed for this discourse panel with those identified for the TINLAP-2 panel eight years ago, it becomes

### The plurality of bare plurals

The plurality of bare plurals Eytan Zweig eytanz@nyu.edu IATL 22 2/7/2006 1 Introduction In this talk, I present a semantics for bare plurals in English (in the reading in which they do not denote kinds).

### Semantics for the Predicate Calculus: Part I

Semantics for the Predicate Calculus: Part I (Version 0.3, revised 6:15pm, April 14, 2005. Please report typos to hhalvors@princeton.edu.) The study of formal logic is based on the fact that the validity

### or conventional implicature [1]. If the implication is only pragmatic, explicating logical truth, and, thus, also consequence and inconsistency.

44 ANALYSIS explicating logical truth, and, thus, also consequence and inconsistency. Let C1 and C2 be distinct moral codes formulated in English. Let C1 contain a norm N and C2 its negation. The moral

### Kant s Possibility Proof

History of Philosophy Quarterly Volume 27, Number 3, July 2010 Kant s Possibility Proof Nicholas F. Stang 1. In t r o d u c t i o n In his 1763 work The Only Possible Ground of Proof [Beweisgrund] for

### L130: Chapter 5d. Dr. Shannon Bischoff. Dr. Shannon Bischoff () L130: Chapter 5d 1 / 25

L130: Chapter 5d Dr. Shannon Bischoff Dr. Shannon Bischoff () L130: Chapter 5d 1 / 25 Outline 1 Syntax 2 Clauses 3 Constituents Dr. Shannon Bischoff () L130: Chapter 5d 2 / 25 Outline Last time... Verbs...

### Connections to the Common Core State Standards for Literacy in Middle and High School Science

Connections to the Common Core State Standards for Literacy in Middle and High School Science This document is based on the Connections to the Common Core State Standards for Literacy in Science and Technical

### The validity of the Linguistic Fingerprint in forensic investigation Rebecca Crankshaw (Linguistics)

The validity of the Linguistic Fingerprint in forensic investigation Rebecca Crankshaw (Linguistics) Abstract This article is concerned with the definition and validity of a linguistic fingerprint, a relatively

### Is there repair by ellipsis?

Is there repair by ellipsis? Craig Sailor University of Groningen cwsailor@gmail.com Carson T. Schütze UCLA cschutze@ucla.edu Draft: December, 2014 Written for The book of syntactic questions 100 ideas

### Degrees of Truth: the formal logic of classical and quantum probabilities as well as fuzzy sets.

Degrees of Truth: the formal logic of classical and quantum probabilities as well as fuzzy sets. Logic is the study of reasoning. A language of propositions is fundamental to this study as well as true

### DATA QUALITY DATA BASE QUALITY INFORMATION SYSTEM QUALITY

DATA QUALITY DATA BASE QUALITY INFORMATION SYSTEM QUALITY The content of those documents are the exclusive property of REVER. The aim of those documents is to provide information and should, in no case,

### Generalized Domain Widening überhaupt

Generalized Domain Widening überhaupt Jan Anderssen University of Massachusetts Amherst 1. Introduction and Background In this article, I discuss the German adverb überhaupt and argue that its purpose

### Harvard College Program in General Education Faculty of Arts and Sciences Harvard University. A Guide to Writing in Ethical Reasoning 15

Harvard College Program in General Education Faculty of Arts and Sciences Harvard University A Guide to Writing in Ethical Reasoning 15 A Guide to Writing in Ethical Reasoning 15 Professor Jay M. Harris

### CREATING LEARNING OUTCOMES

CREATING LEARNING OUTCOMES What Are Student Learning Outcomes? Learning outcomes are statements of the knowledge, skills and abilities individual students should possess and can demonstrate upon completion

### CS4025: Pragmatics. Resolving referring Expressions Interpreting intention in dialogue Conversational Implicature

CS4025: Pragmatics Resolving referring Expressions Interpreting intention in dialogue Conversational Implicature For more info: J&M, chap 18,19 in 1 st ed; 21,24 in 2 nd Computing Science, University of

### Mathematical Induction

Mathematical Induction In logic, we often want to prove that every member of an infinite set has some feature. E.g., we would like to show: N 1 : is a number 1 : has the feature Φ ( x)(n 1 x! 1 x) How

### Luth Research Whitepaper 7/24/2014

Luth Research Whitepaper Are You Seeing The Full Digital Picture? Find out how monitoring your customers entire online journey, not just the last click, can change your ad effectiveness measurement. This

### Texas Success Initiative (TSI) Assessment

Texas Success Initiative (TSI) Assessment Interpreting Your Score 1 Congratulations on taking the TSI Assessment! The TSI Assessment measures your strengths and weaknesses in mathematics and statistics,

### Organizing an essay the basics 2. Cause and effect essay (shorter version) 3. Compare/contrast essay (shorter version) 4

Organizing an essay the basics 2 Cause and effect essay (shorter version) 3 Compare/contrast essay (shorter version) 4 Exemplification (one version) 5 Argumentation (shorter version) 6-7 Support Go from

### Actuality and fake tense in conditionals *

Semantics & Pragmatics Volume 8, Article 12: 1 12, 2015 http://dx.doi.org/10.3765/sp.8.12 Actuality and fake tense in conditionals * John Mackay University of Wisconsin-Madison Submitted 2014-08-02 / First

### CHAPTER 2. Logic. 1. Logic Definitions. Notation: Variables are used to represent propositions. The most common variables used are p, q, and r.

CHAPTER 2 Logic 1. Logic Definitions 1.1. Propositions. Definition 1.1.1. A proposition is a declarative sentence that is either true (denoted either T or 1) or false (denoted either F or 0). Notation:

### GRADE 11 English Language Arts Standards Pacing Guide. 1 st Nine Weeks

1 st Nine Weeks A. Verify meanings of words by the author s use of definition, restatement, example, comparison, contrast and cause and effect. B. Distinguish the relationship of word meanings between

### Introduction. 1.1 Kinds and generalizations

Chapter 1 Introduction 1.1 Kinds and generalizations Over the past decades, the study of genericity has occupied a central place in natural language semantics. The joint work of the Generic Group 1, which

### The Role of Dispute Settlement Procedures in International Trade Agreements: Online Appendix

The Role of Dispute Settlement Procedures in International Trade Agreements: Online Appendix Giovanni Maggi Yale University, NBER and CEPR Robert W. Staiger Stanford University and NBER November 2010 1.

### Critical Study David Benatar. Better Never To Have Been: The Harm of Coming into Existence (Oxford: Oxford University Press, 2006)

NOÛS 43:4 (2009) 776 785 Critical Study David Benatar. Better Never To Have Been: The Harm of Coming into Existence (Oxford: Oxford University Press, 2006) ELIZABETH HARMAN Princeton University In this

### Texas Christian University. Department of Economics. Working Paper Series. Modeling Interest Rate Parity: A System Dynamics Approach

Texas Christian University Department of Economics Working Paper Series Modeling Interest Rate Parity: A System Dynamics Approach John T. Harvey Department of Economics Texas Christian University Working

### YOU DON T SAY? KENT BACH

KENT BACH YOU DON T SAY? ABSTRACT. This paper defends a purely semantic notion of what is said against various recent objections. The objections each cite some sort of linguistic, psychological, or epistemological

### A Scalar Semantics for Scalar Readings of Number Words

A Scalar Semantics for Scalar Readings of Number Words Chris Kennedy University of Chicago August 1, 2012 1 Introduction Number words have played a central role in debates about the relation between context

### THE KNOWLEDGE ARGUMENT

Michael Lacewing Descartes arguments for distinguishing mind and body THE KNOWLEDGE ARGUMENT In Meditation II, having argued that he knows he thinks, Descartes then asks what kind of thing he is. Discussions

### 2. Methods of Proof Types of Proofs. Suppose we wish to prove an implication p q. Here are some strategies we have available to try.

2. METHODS OF PROOF 69 2. Methods of Proof 2.1. Types of Proofs. Suppose we wish to prove an implication p q. Here are some strategies we have available to try. Trivial Proof: If we know q is true then

### Teaching Math to English Language Learners

Teaching Math to English Language Learners 1 If you are a classroom teacher, it is likely that you have students in your class for whom English is a second language. It is also likely that, while language

### NECESSARY AND SUFFICIENT CONDITIONS

Michael Lacewing Personal identity: Physical and psychological continuity theories A FIRST DISTINCTION In order to understand what is at issue in personal identity, it is important to distinguish between

### 1 Semantic Competence

24.903 Language & Structure II: Semantics and Pragmatics Spring 2003, 2-151, MW 1-2.30 1 Semantic Competence The goal of semantics is to properly characterize semantic competence. What is semantic competence?

### A Comparative Analysis of Standard American English and British English. with respect to the Auxiliary Verbs

A Comparative Analysis of Standard American English and British English with respect to the Auxiliary Verbs Andrea Muru Texas Tech University 1. Introduction Within any given language variations exist

### Arguments and Dialogues

ONE Arguments and Dialogues The three goals of critical argumentation are to identify, analyze, and evaluate arguments. The term argument is used in a special sense, referring to the giving of reasons

### On wh-exclamatives and noteworthiness

On wh-exclamatives and noteworthiness Anna Chernilovskaya and Rick Nouwen Utrechts Instituut voor Linguïstiek 1 Introduction We explore a new approach to the semantics of wh-exclamatives, like (1). (1)

### IN THE TAX COURT OF SOUTH AFRICA HELD IN CAPE TOWN

R E P O R T A B L E IN THE TAX COURT OF SOUTH AFRICA HELD IN CAPE TOWN BEFORE: THE HONOURABLE MR. JUSTICE B. WAGLAY : PRESIDENT MR. R.T. DE BEER : ACCOUNTANT MEMBER MR. I.J. MOUTON : COMMERCIAL MEMBER

### What to Expect on the Compass

What to Expect on the Compass What is the Compass? COMPASS is a set of untimed computer adaptive tests created by the American College Test (ACT) Program. Because COMPASS tests are "computer adaptive,"

### 2. SEMANTIC RELATIONS

2. SEMANTIC RELATIONS 2.0 Review: meaning, sense, reference A word has meaning by having both sense and reference. Sense: Word meaning: = concept Sentence meaning: = proposition (1) a. The man kissed the

### A BRIEF ALTHOUGH NOT AS BRIEF AS I D HOPED GUIDE TO WRITING PHILOSOPHY PAPERS

A BRIEF ALTHOUGH NOT AS BRIEF AS I D HOPED GUIDE TO WRITING PHILOSOPHY PAPERS Introduction: Philosophical writing is a different sort of beast than that required in other disciplines. The style is on the

### User Stories Applied

User Stories Applied for Agile Software Development Mike Cohn Boston San Francisco New York Toronto Montreal London Munich Paris Madrid Capetown Sydney Tokyo Singapore Mexico City Chapter 2 Writing Stories

### Schemas Supporting Physical Data Storage

s Supporting Data Storage 21 st January 2014 (30 th March 2001) s Supporting Physical Data Storage Introduction A RAQUEL DB is made up of a DB, which itself consists of a set of schemas. These schemas

### UNFAIR DISMISSAL: WHEN WILL THE COURTS ALLOW EXTENDED TIME LIMITS?

UNFAIR DISMISSAL: WHEN WILL THE COURTS ALLOW EXTENDED TIME LIMITS? This article appeared in Employment Law Journal February 2008 Number 87 In the light of a series of recent EAT cases, Marc Jones and Mandeep

### Chapter 7. Functions and onto. 7.1 Functions

Chapter 7 Functions and onto This chapter covers functions, including function composition and what it means for a function to be onto. In the process, we ll see what happens when two dissimilar quantifiers

### If an English sentence is ambiguous, it may allow for more than one adequate transcription.

Transcription from English to Predicate Logic General Principles of Transcription In transcribing an English sentence into Predicate Logic, some general principles apply. A transcription guide must be