Kai von Fintel

After cataloguing various ‘improper’ sense of only, those which are taken with restricted scope (‘no more than [within a fixed domain]’) as opposed to the purely exclusive ‘proper’ sense, Ockham (1980:137) remarks that These are the senses, then, in which the exclusive expression can be taken improperly. And perhaps there are still other senses in which it can be taken improperly. But since they are not as widely used as the ones we have dealt with, I will leave them to the specialists. Larry Horn: “A glorious picture indeed: monasteries crammed to the spires with specialists on only, laboring away on the fine points of the semantics of exclusive propositions. Those were the days!” (Horn 1996: 26-27).

This dissertation investigates the ways in which natural language restricts the domains of quantifiers. Adverbs of quantification are analyzed as quantifying over situations. The domain of quantifiers is pragmatically constrained: apparent processes of "semantic partition" are treated as pragmatic epiphenomena. The introductory Chapter 1 sketches some of the background of work on natural language quantification and begins the analysis of adverbial quantification over situations. Chapter 2 develops the central picture of "semantic partition" as a side-effect of pragmatic processes of anaphora resolution. I argue that the apparent effects of topic/focus articulation and presuppositional information on the interpretation of quantifiers are not the result of a direct and local mechanism of sentence grammar. Instead, I develop an analysis where the link is established via the anaphoric dependence of quantifier domains on the discourse context. Chapter 3 discusses the analysis of conditional clauses as quantifier restrictors, concentrating on the question whether conditional clauses restrict quantifiers directly or indirectly. A treatment is explored which has if-clauses constrain the value of the hidden domain variable of the restricted quantifier. Chapter 4, on unless-clauses, and Chapter 5, on only if- and even if-clauses, present some issues in the compositional analysis of complex conditional clauses. These chapters significantly expand the data coverage of the theory of A-quantification. Building on previous work of mine on exceptives, I analyze unless-clauses as exceptive operators on A-quantifiers. The analysis of only if-clauses, treated as conditional clauses that combine if with the focus adverb only, unearthes some interesting new properties. Chapter 6, finally, examines the phenomenon of donkey-anaphora in the light of the results of the previous chapters. I show that a solution to the proportion problem may become possible once we combine the situation-semantic approach to adverbial quantification with the pragmatic theory developed in Chapter 2 and further elaborated in the analysis of donkey anaphora in complex conditionals

It is a recurring mantra that epistemic must creates a statement that is weaker than the corresponding flat-footed assertion: It must be raining vs. It’s raining. Contrary to classic discussions of the phenomenon such as by Karttunen, Kratzer, and Veltman, we argue that instead of having a weak semantics, must presupposes the presence of an indirect inference or deduction rather than of a direct observation. This is independent of the strength of the claim being made. Epistemic must is therefore quite similar to evidential markers of indirect evidence known from languages with rich evidential systems. We work towards a formalization of the evidential component, relying on a structured model of information states (analogous to some models used in the belief dynamics literature). We explain why in many contexts, one can perceive a lack of confidence on the part of the speaker who uses must

Scientists have made new discoveries about a strange low-level disease. The disease is highly correlated with a particularly gene. 25% of the population has this gene. 90% of those with the gene develop the disease. Among the 75% majority, on the other hand, only 10% develop the disease. There is also a mysterious skin rash which can only occur in people who have the disease. Among the people who have the gene and develop the disease, 90% show the rash. Among the people without the gene that develop the disease, only 10% show the rash.

∗ These are preliminary notes for a future chapter of a book I am writing, which is going to be a linguistic guide to conditionals. I would be appreciate all the help I can get. I already have Sabine Iatridou and Michela Ippolito to thank, who both know much more about tense and tense in conditionals than I will ever know. I also need to acknowledge my admiration for Jonathan Bennett and his amazingly nutritious Philosophical Guide to Conditionals. Lastly, when I was writing my dissertation, Roger Higgins urged me to study the works of Vic Dudman, where I learned a lot – among other things what a scarily complex topic this is