This paper gives an outline of truthmaker semantics for natural language against the background of standard possible-worlds semantics. It develops a truthmaker semantics for attitude reports and deontic modals based on an ontology of attitudinal and modal objects and on a semantic function of clauses as predicates of such objects. It also présents new motivations for 'object-based truthmaker semantics' from intensional transitive verbs such as ‘need’, ‘look for’, ‘own’, and ‘buy’ and gives an outline of their semantics. This paper is (...) a commissioned 'target' article, with commentaries by W. Davis, B. Arsenijevic, K. Moulton, K. Liefke, M. Kaufmann, R. Matthews, P. Portner and A. Rubinstein, P. Elliott, G. Ramchand and my reply. (shrink)

Stojnić et al. (2013, 2017) argue that the reference of demonstratives is fixed without any contribution from the extra-linguistic context. On their `prominence/coherence' theory, the reference of a demonstrative expression depends only on its context-independent linguistic meaning. Here, we argue that Stojnić et al.’s striking claims can be maintained in only the thinnest technical sense. Instead of eliminating appeals to the extra-linguistic context, we show how the prominence/coherence theory merely suppresses them. Then we ask why one might be tempted to (...) try and offer such a view. Since we are rather sympathetic to the motivations we find, we close by sketching a more plausible alternative. (shrink)

Utterances in situated activity are about the world. Theories and systems normally capture this by assuming references must be resolved to real-world entities in utterance understanding. We describe a number of puzzles and problems for this approach, and propose an alternative semantic representation using discourse relations that link utterances to the nonlinguistic context to capture the context-dependent interpretation of situated utterances. Our approach promises better empirical coverage and more straightforward system building. Substantiating these advantages is work in progress.

Deictic (or pointing) gestures are traditionally known to have a simple function: to supply something as the referent of a demonstrative linguistic expression. I argue that deixis can have a more complex function. A deictic gesture can be used to _say something_ in conversation and can thereby become a full discourse move in its own right. To capture this phenomenon, which I call _rich demonstration_, I present an update semantics on which deictic gestures can indicate situations from a conversation’s context (...) and those situations coherently connect to prior discourse to generate information. (shrink)

Kit Fine distinguishes between inexact and exact truthmaking. He argues that the former can be defined from the latter, but not vice versa, and so concludes that truthmaker semanticists should treat the exact variety of truthmaking as primitive. I argue that this gets things backwards. We can define exact truthmaking in terms of inexact truthmaking and we can’t define inexact truthmaking in terms of exact truthmaking. I conclude that it’s inexact truthmaking, rather than exact truthmaking, that truthmaker semanticists should treat (...) as the primitive semantic relation. (shrink)

Recent work on the interpretation of counterfactual conditionals has paid much attention to the role of causal independencies. One influential idea from the theory of Causal Bayesian Networks is that counterfactual assumptions are made by intervention on variables, leaving all of their causal non-descendants unaffected. But intervention is not applicable across the board. For instance, backtracking counterfactuals, which involve reasoning from effects to causes, cannot proceed by intervention in the strict sense, for otherwise they would be equivalent to their consequents. (...) We discuss these and similar cases, focusing on two factors which play a role in determining whether and which causal parents of the manipulated variable are affected: Speakers' need for an explanation of the hypothesized state of affairs, and differences in the ‘resilience’ of beliefs that are independent of degrees of certainty. We describe the relevant theoretical notions in some detail and provide experimental evidence that these factors do indeed affect speakers' interpretation of counterfactuals. (shrink)

This paper develops a theory of propositional identity which distinguishes necessarily equivalent propositions that differ in subject-matter. Rather than forming a Boolean lattice as in extensional and intensional semantic theories, the space of propositions forms a non-interlaced bilattice. After motivating a departure from tradition by way of a number of plausible principles for subject-matter, I will provide a Finean state semantics for a novel theory of propositions, presenting arguments against the convexity and nonvacuity constraints which Fine (2016, 2017a,b) introduces. I (...) will then move to compare the resulting logic of propositional identity (PI) with Correia’s (2016) logic of generalised identity (GI), as well as the first degree fragment of Angell’s (1989) logic of analytic containment (AC). The paper concludes by extending PI to include axioms and rules for a subject-matter operator, providing a much broader theory of subject-matter than the principles with which I will begin. (shrink)

This is the first part of a larger project that aims to develop a cross-categorical semantic account of a broad range of _as if_ constructions in English. In this paper, we focus on descriptive uses of _as if_ with regular truth-conditional content. The core proposal is that _as if_-phrases contribute hypothetical (_if_-like) and comparative (_as_-like) properties of situations, which are instantiated by an event, state, or larger situation when it resembles in some relevant respect its counterparts in selected stereotypical worlds (...) described by the clause embedded under _as if_. We motivate and develop this situation-semantic analysis in detail for examples like _Pedro danced as if he was possessed by demons_ where the modifying _as if_-adjunct is used to inferentially convey the manner of a reported activity. We extend this analysis to _as if_-complements of perception verbs in reports like _The soup tastes as if it contains fish sauce_, offering an alternative to conceptually problematic approaches that assimilate such perceptual resemblance reports to propositional attitude ascriptions. We also examine the predicative function of _as if_ in examples like _The state of the house is as if a tornado passed through it_ where the _as if_-phrase denotes a hypothetical comparative property of the nominal subject. (shrink)

This paper investigates the interpretation of counterfactual conditionals. The main goal of the paper is to provide an account of the semantic role of similarity in the evaluation of counterfactuals. The paper proposes an analysis according to which counterfactuals are treated as predications “ de re ” over past situations in the actual world. The relevant situations enter semantic composition via the interpretation of tense. Counterfactuals are treated as law-like conditionals with de re predication over particular facts. Similarity with respect (...) to particular facts is ensured by the semantics of tense in interaction with the modal, while the modal itself is responsible for invoking laws. In the paper, various arguments are provided to support a local view of similarity over the global approach found in semantics along the line of Lewis’s and Stalnaker’s. Arguments are also provided tying the evaluation of similarity to the interpretation of tense. Finally, arguments are provided to show that in key cases, the approaches make comparable predictions. (shrink)

This paper investigates some aspects of the semantics of deontic should-conditionals. The main objective is to understand which actual world facts make deontic statements true. The starting point for the investigation is a famous puzzle known as Chisholm’s Paradox. It is important because making sense of the data in Chisholm-style examples involves arriving at some conclusion regarding the interaction between what we consider ideal and what is actually true. I give an account of how facts affect the evaluation of should (...) formulated in a way that does not predict that the divergence between ideals and facts leads to contradictions. The proposed semantics for should and should-conditionals allows for factual detachment without giving rise to paradoxes. The proposal has several parts: a situation-based semantics for the modal should, a view of the propositions embedded under should that allows aspect to play a crucial role in anchoring propositions to the context set, and a proposal for if-clauses that distinguishes between epistemic if-clauses and if-clauses in the scope of should, treating the latter as restrictors on the quantificational domain of the modal. (shrink)

Cognitive states as well as cognitive commodities play central though distinct roles in our epistemological theories. By being attentive to how a difference in their roles affects our way of referring to them, we can undoubtedly accrue our understanding of the structure and functioning of our main epistemological theories. In this paper we propose an analysis of the dichotomy between states and commodities in terms of the method of abstraction, and more specifically by means of infomorphisms between different ways to (...) classify states of information, information-bases, and evidential situations. (shrink)

“Counterfactual” readings of might/could have were previously analyzed using metaphysical modal bases. This paper presents examples and scenarios where the assumptions of such a branching-time semantics are not met, because there are facts at the base world that preclude the complement of the modal becoming true. Additional arguments show that counterfactual readings are context dependent. These data motivate a semantics using a circumstantial (or factual) modal base, which refers to context-dependent facts about a world and time. The analysis is formulated (...) in a version of premise semantics for modality. (shrink)

A reply to Fine’s critique of Aboutness. Fine contrasts two notions of truthmaker, and more generally two notions of “state.” One is algebraic; states are sui generis entities grasped primarily through the conditions they satisfy. The other uses set theory; states are sets of worlds, or, perhaps, collections of such sets. I try to defend the second notion and question some seeming advantages of the first.

Attitude verbs fall in different categories depending on the kind of sentential complements which they can embed. In English, a verb like know takes both declarative and interrogative complements. By contrast, believe takes only declarative complements and wonder takes only interrogative complements. The present paper examines the hypothesis, originally put forward by Hintikka (1975), that the only verbs that can take both that -complements and whether -complements are the factive verbs. I argue that at least one half of the hypothesis (...) is empirically correct, namely that all veridical attitude verbs taking that -complements take whether -complements. I distinguish veridical verbs from factive verbs, and present one way of deriving the generalization. Counterexamples to both directions of the factivity hypothesis are discussed, in particular the case of emotive factive verbs like regret , and the case of non-veridical verbs that licence whether complements, in particular tell, guess, decide and agree . Alternative accounts are discussed along the way, in particular Zuber (1982), Ginzburg (1995) and Saebø (2007). (shrink)

In this paper I focus on a recently discussed phenomenon illustrated by sentences containing predicates of taste: the phenomenon of " perspectival plurality " , whereby sentences containing two or more predicates of taste have readings according to which each predicate pertains to a different perspective. This phenomenon has been shown to be problematic for (at least certain versions of) relativism. My main aim is to further the discussion by showing that the phenomenon extends to other perspectival expressions than predicates (...) of taste and by proposing a general solution to the problem raised by it on behalf of the relativist. The core claim of the solution (" multiple indexing ") is that utterances of sentences containing perspectival expressions should be evaluated with respect to (possibly infinite) sequences of perspective parameters. (shrink)

This paper argues that NPs with case as head noun stand for situations in their role as truthmakers within a sentential or epistemic case space. The paper develops a unified semantic analysis of case-constructions of the various sorts within a truthmaker-based version of alternative semantics.

This is a prepublication version of my book Objects and Attitudes. The book develops a novel semantics of attitude reports, modal sentences, and quotation based on the view that sentences semantically act as predicates of various attitudinal and modal objects, entities like claims, requests, promises, obligations, and permissions, rather than standing for abstract propositions playing the role of objects. The approach develops truthmaker semantics for attitudinal and modal objects and has a wide range of applications to issues in philosophy of (...) language, semantics, and philosophy of mind. (shrink)

Since 1970-ties in the theory of syntax of natural language quite a number of competing, incommensurable theoretic frameworks have emerged. Today the lack of a leading paradigm and kaleidoscope of perspectives deprives our general understanding of syntax and its relation to semantics and pragmatics. The present book is an attempt to reestablish the most fundamental ideas and intuitions of syntactic well-formedness within a new general account. The account is not supposed to compete with any of today’s syntactic frameworks, but to (...) provide a deeper understanding of why these frameworks succeed or fail when they do and to show a new way for cooperation between logicians and linguists which may lead in future to a unified, yet more specific account. (shrink)

The present volume contains a collection of papers presented at the 21st annual meeting “Sinn und Bedeutung” of the Gesellschaft fur Semantik, which was held at the University of Edinburgh on September 4th–6th, 2016. The Sinn und Bedeutung conferences are one of the leading international venues for research in formal semantics.

This paper revisits the question of whether propositions in situation semantics must be persistent [Kratzer (1989). Linguistics and Philosophy, 12, 607–653]. It shows that ignoring persistence causes empirical problems for theories which use quantification over minimal situations as a solution for donkey anaphora [Elbourne (2005). Situations and individuals. Cambridge, Mass.: MIT Press]. At the same time, modifying these theories to incorporate persistence makes them incompatible with the use of situations for contextual restriction [Kratzer (2004). Ms., University of Massachusetts].

Indirect speech reports can be true even if they attribute to the speaker the saying of something weaker than what she in fact expressed, yet not all weakenings of what the speaker expressed yield true reports. For example, if Anna utters ‘Bob and Carla passed the exam’, we can accurately report her as having said that Carla passed the exam, but we can not accurately report her as having said that either it rains or it does not, or that either (...) Carla passed the exam or pandas are cute. This paper offers an analysis of speech reports that distinguishes weakenings of what the speaker expressed that yield true reports from weakenings that do not. According to this analysis, speech reports are not only sensitive to the informational content of what the speaker expressed, but also to the possibilities a speaker raises in making an utterance. As I argue, this analysis has significant advantages over its most promising competitors, including views based on work by Barwise and Perry : 668–691, 1981), views appealing to recent work on the notion of content parthood by Fine :199–226, 2016) and Yablo, and Richard’s : 605–616, 1998) proposal appealing to structured propositions. (shrink)

The propositional view of communication states that every literal assertoric utterance of an indicative sentence expresses a proposition, and the audience understands those utterances only if she entertains the proposition(s) the speaker expressed. According to an important objection due to Ray Buchanan, the propositional view is ill‐equipped to handle meaning underdeterminacy. Using resources from situation semantics and MacFarlane's nonindexical contextualism, this article develops a view of literal communication close to the propositional view which overcomes Buchanan's underdeterminacy considerations while accounting for (...) the kind of indifference that typically characterizes speakers' intentions. (shrink)

Recent semantic research has made increasing use of a principle, Maximize Presupposition, which requires that under certain circumstances the strongest possible presupposition be marked. This principle is generally taken to be irreducible to standard Gricean reasoning because the forms that are in competition have the same assertive content. We suggest, however, that Maximize Presupposition might be reducible to the theory of scalar implicatures. (i)First, we consider a special case: the speaker utters a sentence with a presupposition p which is not (...) initially taken for granted by the addressee, but the latter takes the speaker to be an authority on the matter. Signaling the presupposition provides new information to the addressee; but it also follows from the logic of presupposition qua common belief that the presupposition is thereby satisfied (Stalnaker, Ling Philos 25(5–6):701–721, 2002). (ii) Second, we generalize this solution to other cases. We assume that even when p is common belief, there is a very small chance that the addressee might forget it (‘Fallibility’); in such cases, marking a presupposition will turn out to generate new information by re-establishing part of the original context. We also adopt from Raj Singh (Nat Lang Semantics 19(2):149–168, 2011) the hypothesis that presupposition maximization is computed relative to local contexts—and we assume that these too are subject to Fallibility; this accounts for cases in which the information that justifies the presupposition is linguistically provided. (iii) Finally, we suggest that our assumptions have benefits in the domain of implicatures: they make it possible to reinterpret Magri’s ‘blind’ (i.e. context-insensitive) implicatures as context-sensitive implicatures which just happen to be misleading. (shrink)

This paper is concerned with Noun Phrases (NPs, henceforth) occurring in two constructions: concealed question NPs and NP subjects of specificational sentences. The first type of NP is illustrated in (1). The underlined NPs in (1) have been called ‘concealed questions’ because sentences that embed them typically have the same truth-conditional meaning as the corresponding versions with a full-fledged embedded interrogative clause, as illustrated in (2) (Heim 1979).

We assume a central thesis about modal auxiliaries due to Angelika Kratzer, the modal base presupposition: natural language expressions that contain a modal component in their meaning, including all English modal auxiliaries and epistemic modal auxiliaries (EMA)s in particular, presuppose a modal base, a function that draws from context a relevant set of propositions which contribute to a premise-semantics for the modal. Accepting this thesis for EMAs leaves open (at least) the following two questions about the meaning of English EMAs (...) like _must_ and _might_: (i) What constraints, if any, are there on the character of the premise set for an EMA? And (ii) what is the nature of the relationship between premises and conclusion that is required for truth of the EMA statement? I argue for at least a partial answer to (i), with a hypothesis about constraints on the modal base for an EMA: EMAs, unlike some other types of modals, are indexical: They are anchored to an agent-in-a-situation whose doxastic state is currently under discussion in the context of utterance. Realized in a Kratzerian semantics, indexicality sheds new light on a number of outstanding puzzles, including the widely observed variability of anchoring of EMAs, the ways in which EMAs differ from so-called root modals, Yalcin’s (Mind 116:983–1026, 2007) puzzle (a version of Moore’s paradox for epistemic modals embedded under attitudes), how to explain the apparent weakness of necessity EMAs, and problems with second order belief and disagreement. (shrink)

What is the relation between the intentionality of states and attitudes which can miss their mark, such as belief and desire, and the intentionality of acts, states and attitudes which cannot miss their mark, such as the different types of knowledge and simple seeing? Two theories of the first type of intentionality, the theory of correctness conditions and the theory of satisfaction conditions, are compared. It is argued that knowledge always involves knowledge of formal objects such as facts and values, (...) that emotions are reactions to (apparently) known values and that beliefs are reactions to known or apparently known facts or to the objects of relational states. (shrink)

This paper presents a systematic semantic study of constructions with the noun 'case'. It argues that 'cases' are situations acting as truthmakers within a sentential or epistemic case space. It develops a truthmaker-based alternative semantics of 'case'-constructions, based on Fine's recent truthmaker semantics.

Attitudinal propositionalism is the view that all mental attitude content is truth-evaluable. While attitudinal propositionalism is still silently assumed in large parts of analytic philosophy, recent work on objectual attitudes (i.e. attitudes like ‘fearing Moriarty’ and ‘imagining a unicorn’ that are reported through intensional transitive verbs with a direct object) has put attitudinal propositionalism under explanatory pressure. This paper defends propositionalism for a special subclass of objectual attitudes, viz. experiential attitudes. The latter are attitudes like seeing, remembering, and imagining whose (...) grammatical objects intuitively denote (events or) scenes. I provide a propositional analysis of experiential attitudes that preserves the merits of propositionalism. This analysis uses the possibility of representing the target-scenes of experiential attitudes by the intersection of all propositions that are true in these scenes. I show that this analysis makes available the usual (Russellian) account of intensionality and the common (Boolean) logic for entailments. (shrink)

One can remember events and one can remember facts: to remember an event (e.g. the barista's pouring my coffee this morning), one needs to have personally witnessed this event. To remember a fact (e.g. that the barista was trained in Italy), it suffices to have learned this fact from some other source. The distinction between event-directed (i.e. experiential) and fact-directed (or propositional) attitudes is an established distinction in philosophy, psychology, and cognitive science that is also exemplified by other attitudes (incl. (...) seeing, imagining, and dreaming). Until recently, semantics and the philosophy of language have assumed that experiential attitudes can be more or less straightforwardly reduced to propositional attitudes. However, new work has identified some key properties of experiential attitudes that cast doubt on this reducibility. The present paper discusses the most notable of these properties, focusing on experiential attitude reports. It links these properties to recent developments in formal and philosophical semantics in an effort to foster the development of a rigorous, empirically adequate account of experiential attitudes. (shrink)

The point of knowledge is to answer our need for information that will let us successfully navigate our world. So says Edward Craig in Knowledge and the State of Nature. This claim may sound anodyne, but according to Craig, it is crucial we keep this fact uppermost in our minds as we theorize about knowledge. Craig argues that our concept of knowledge begins its life by answering our need to mark out those who have the information we seek. A priori (...) analysis may not reveal the application conditions of our concept of knowledge, but reflection on its function can. (shrink)

This note is a reply to ‘On the Lumping Semantics of Counterfactuals’ by Makoto Kanazawa, Stefan Kaufmann and Stanley Peters. It shows first that the first triviality result obtained by Kanazawa, Kaufmann, and Peters is already ruled out by the constraints on admissible premise sets listed in Kratzer (1989). Second, and more importantly, it points out that the results obtained by Kanazawa, Kaufmann, and Peters are obsolete in view of the revised analysis of counterfactuals in Kratzer (1990, 2002).

‘The following sentence is true only if numbers exist: The number of planets is eight. It is true; hence, numbers exist.’ So runs a familiar argument for realism about mathematical objects. But this argument relies on a controversial semantic thesis: that ‘The number of planets’ and ‘eight’ are singular terms standing for the number eight, and the copula expresses identity. This is the ‘Fregean analysis’.I show that the Fregean analysis is false by providing an analysis of sentences such as that (...) best explains the available linguistic data, and according to which no terms in purport to stand for numbers. (shrink)

The rise of causality and the attendant graph-theoretic modeling tools in the study of counterfactual reasoning has had resounding effects in many areas of cognitive science, but it has thus far not permeated the mainstream in linguistic theory to a comparable degree. In this study I show that a version of the predominant framework for the formal semantic analysis of conditionals, Kratzer-style premise semantics, allows for a straightforward implementation of the crucial ideas and insights of Pearl-style causal networks. I spell (...) out the details of such an implementation, focusing especially on the notions of intervention on a network and backtracking interpretations of counterfactuals. (shrink)

I acquired many intellectual debts while writing What’s the Point of Knowledge?, but I am especially indebted to my three symposiasts. David Henderson’s work helped me to appreciate the value of thinking about the point of epistemic evaluation; Catherine Elgin’s writings prompted me to investigate the purpose of the concept of understanding; and Krista Lawlor’s 2013 book revealed important connections between three of my primary epistemological interests: the role of epistemic evaluation, the semantics of knowledge claims and the work of (...) J.L. Austin. It is therefore an honour to have such personally influential scholars engage with my work. Their thoughtful, generous and philosophically rich comments have provided yet another opportunity to clarify my thinking and develop some ideas further. (shrink)

Proportional quantification and progressive aspect interact in English in revealing ways. This paper investigates these interactions and draws conclusions about the semantics of the progressive and telicity. In the scope of the progressive, the proportion named by a proportionality quantifier (e.g. most in The software was detecting most errors) must hold in every subevent of the event so described, indicating that a predicate in the scope of the progressive is interpreted as an internally homogeneous activity. Such an activity interpretation is (...) argued to be available for telic predicates (e.g. cross the street) because these receive a partitive interpretation except in combination with a completive operator, which asserts that the event so described has culminated. The obligatoriness of the completive operator in the preterit is shown to parametrically distinguish those languages that show completion entailments in the preterit, e.g. English, from those that do not, e.g. Malagasy, Hindi, and Japanese. (shrink)

Is knowledge definable as justified true belief? We argue that one can legitimately answer positively or negatively, depending on whether or not one’s true belief is justified by what we call adequate reasons. To facilitate our argument we introduce a simple propositional logic of reason-based belief, and give an axiomatic characterization of the notion of adequacy for reasons. We show that this logic is sufficiently flexible to accommodate various useful features, including quantification over reasons. We use our framework to contrast (...) two notions of JTB: one internalist, the other externalist. We argue that Gettier cases essentially challenge the internalist notion but not the externalist one. Our approach commits us to a form of infallibilism about knowledge, but it also leaves us with a puzzle, namely whether knowledge involves the possession of only adequate reasons, or leaves room for some inadequate reasons. We favor the latter position, which reflects a milder and more realistic version of infallibilism. (shrink)

This paper presents a novel treatment of quantified concealed questions , examining different types of NP predicates and deriving the truth conditions for pair-list and set readings. A generalization is proposed regarding the distribution of the two readings, namely that pair-list readings arise from CQs with relational head nouns, whereas set readings arise from CQs whose head nouns are not relational. It is shown that set readings cannot be derived under the ‘individual concept’ approach, one of the most influential analyses (...) of CQs on the market. The paper offers a solution to this problem. It shows that once we adopt an independently motivated view of traces—according to which traces are copies with descriptive content —nothing else needs to be postulated to derive set readings within an individual-concept-based analysis. Thus, what seemed to be a challenge for this type of analysis turns out to be an argument in its favor. (shrink)

I develop a basic theory of content within the framework of truthmaker semantics and, in the second part, consider some of the applications to subject matter, common content, logical subtraction and ground.

In “Facts: Particulars of Information Units?”, Kratzer proposed a causal analysis of knowledge in which knowledge is defined as a form of de re belief of facts. In support of Kratzer’s view, I show that a certain articulation of the de re/de dicto distinction can be used to integrally account for the original pair of Gettier cases. In contrast to Kratzer, however, I think such an account does not fundamentally require a distinction between facts and true propositions. I then discuss (...) whether this account might be generalized and whether it can give us a reductive analysis of knowledge as de re true belief. Like Kratzer, I think it will not, in particular the distinction appears inadequate to account for Ginet-Goldman cases of causally connected but unreliable belief. Nevertheless, I argue that the de re belief analysis allows us to account for a distinction Starmans and Friedman recently introduced between apparent evidence and authentic evidence in their empirical study of Gettier cases, in a way that questions their claim that a causal disconnect is not operative in the contrasts they found. (shrink)

If there is any consensus about knowledge in contemporary epistemology, it is that there is one primary kind: knowledge-that. I put forth a view, one I find in the works of Aristotle, on which knowledge-of – construed in a fairly demanding sense, as being well-acquainted with things – is the primary, fundamental kind of knowledge. As to knowledge-that, it is not distinct from knowledge-of, let alone more fundamental, but instead a species of it. To know that such-and-such, just like to (...) know a person or place, is to be well-acquainted with a portion of reality – in this case a fact. In part by comparing classic Gettier cases to cases in which one has true impressions of but fails to know a person, I argue that this account not only respects our intuitions about knowledge-that – in particular that it is or entails non-accidentally true justified belief – but also explains them, providing a compelling analysis. (shrink)

John Cook Wilson (1849–1915) was Wykeham Professor of Logic at New College, Oxford and the founder of ‘Oxford Realism’, a philosophical movement that flourished at Oxford during the first decades of the 20th century. Although trained as a classicist and a mathematician, his most important contribution was to the theory of knowledge, where he argued that knowledge is factive and not definable in terms of belief, and he criticized ‘hybrid’ and ‘externalist’ accounts. He also argued for direct realism in perception, (...) criticizing both empiricism and idealism, and argued for a moderate nominalist view of universals as being in rebus and only ‘apprehended’ by their particulars. His influence helped swaying Oxford away from idealism and, through figures such as H. A. Prichard, Gilbert Ryle, or J. L. Austin, his ideas were also to some extent at the origin of ‘moral intuitionism’ and ‘ordinary language philosophy’ which defined much of Oxford philosophy until the second half of the twentieth-century. Nevertheless, his name and legacy were all but forgotten for generations after World War II. Still, his views on knowledge are with us today, being in part at work in the writings of philosophers as diverse as John McDowell, Charles Travis, and Timothy Williamson. (shrink)

The present dissertation investigates certain facets of the logical structure of oughts – where “ought” is used as a noun, roughly meaning obligation. I do so by following two lines of inquiry. The first part of the thesis places oughts in the context of practical rationality. The second part of the thesis concerns the inference rules governing arguments about oughts, and specifically the inference rule of Reasoning by Cases. These two lines of inquiry, together, aim to expound upon oughts in (...) rationality and reasoning. The methodology used in this dissertation is the one of philosophical logic, in which logical, qualitative models are developed to support and foster conceptual analysis. The dissertation consists of four main chapters. The first two chapters are devoted to the role of oughts in practical rationality. I focus on the so-called Enkratic principle of rationality, which – in its most general formulation – requires that if an agent believes sincerely and with conviction that she ought to do X, then she intends to X. I develop a logical framework to investigate the (static and dynamic) relation between those oughts believed by the agent and her intentions. It is shown that, under certain minimal assumptions, the Enkratic principle of rationality is a principle of limited validity. The following two chapters of the dissertation constitute a study of the classical inference rule of Reasoning by Cases, which – in its simplest form – moves from the premises “A or B”, “if A then C” and “if B then C” to the conclusion “C”. Recent literature has called the validity of Reasoning by Cases into question, with the most influential counterexample being the so-called Miners’ Puzzle – an instance of Reasoning by Cases where “C” involves oughts. I provide a unifying explanation of why the Miners’ Puzzle emerges. It is shown that, within specific boundaries, Reasoning by Cases is a valid inference rule. (shrink)

In this thesis, I aim to motivate a particular philosophy of mathematics characterised by the following three claims. First, mathematical sentences are generally speaking false because mathematical objects do not exist. Second, people typically use mathematical sentences to communicate content that does not imply the existence of mathematical objects. Finally, in using mathematical language in this way, speakers are not doing anything out of the ordinary: they are performing straightforward assertions. In Part I, I argue that the role played by (...) mathematics in our scientific explanations is a purely expressive one, merely allowing us to say more about the physical world than we would otherwise be able to. Mathematical objects do not need to exist for mathematics to play this role. This proposal puts a normative constraint on our use of mathematical language: we ought to use mathematically presented theories to express belief only in the consequences they have for non-mathematical things. In Part II, I will argue that what the normative proposal recommends is in fact what people generally do in both pure and applied mathematical contexts. I motivate this claim by showing that it is predicted by our best general means of analysing natural language. I provide a semantic theory of applied arithmetical sentences that reveals they do not purport to refer to numbers, as well as a pragmatic theory for pure mathematical language use which reveals that pure mathematical utterances do not typically communicate content that implies the existence of mathematical objects. In conclusion, I show that the emerging hermeneutic fictionalist position is preferable to any alternative interpretation of mathematical discourse as aimed at describing a domain of independently existing abstract mathematical objects. (shrink)

Situation semantics was developed as an alternative to possible worlds semantics. In situation semantics, linguistic expressions are evaluated with respect to partial, rather than complete, worlds. There is no consensus about what situations are, just as there is no consensus about what possible worlds or events are. According to some, situations are structured entities consisting of relations and individuals standing in those relations. According to others, situations are particulars. In spite of unresolved foundational issues, the partiality provided by situation semantics (...) has led to some genuinely new approaches to a variety of phenomena in natural language semantics. In the way of illustration, this article includes relatively detailed overviews of a few selected areas where situation semantics has been successful: implicit quantifier domain restrictions, donkey pronouns, and exhaustive interpretations. It moreover addresses the question of how Davidsonian event semantics can be embedded in a semantics based on situations. Other areas where a situation semantics perspective has led to progress include attitude ascriptions, questions, tense, aspect, nominalizations, implicit arguments, point of view, counterfactual conditionals, and discourse relations. (shrink)