Peter Hanks defends a new theory about the nature of propositional content, according to which the basic bearers of representational properties are particular mental or spoken actions. He explains the unity of propositions and provides new solutions to a long list of puzzles and problems in philosophy of language.

Propositions play a central role in contemporary semantics. On the Russellian account, propositions are structured entities containing particulars, properties and relations. This contrasts sharply with the sets-of-possible-worlds view of propositions. I’ll discuss how to extend the sets-of-worlds view to accommodate fine-grained hyperintensional contents. When this is done in a satisfactory way, I’ll argue, it makes heavy use of entities very much like Russellian tuples. The two notions of proposition become inter-definable and inter-substitutable: they are not genuinely distinct accounts of (...) how propositions represent what they represent. Semantic theorists may move freely between the two conceptions of what propositions are. Nevertheless, the two approaches give different accounts of the metaphysical nature of propositions. I argue that the sets-of-worlds view provides an adequate account of the nature of propositions, whereas the Russellian view cannot. (shrink)

Propositions are the things we believe, intend, desire, and so on, but discussions are often less precise than they could be and an important driver of this deficiency has been a focus on the objects but a neglect of the attitudinal relations we bear to them. In what follows, we will offer some thoughts on what it means for a proposition to be the object of an attitude and we will argue that an important part of the story lies (...) with the attitude relations rather than the propositions. As we will see there are infinitely many relations we might bear to a proposition, but the propositional attitude relations are special amongst them. Accounting for what makes them special will be an important component in the discussion that follows. We will argue that once one appreciates certain facts about propositional attitude relations, various claims that metaphysicians often make regarding propositions themselves begin to look undermotivated. In fact, many views on the metaphysical nature of propositions come to look like plausible candidates for being that to which our propositional attitudes relate us. As will emerge, we will see that the principle role of propositions in the theory of mind is simply to keep track of how our attitudinal states represent things as being. But, we argue, in order to do this work, very few constraints must be placed on the nature of propositions themselves. In particular, contra much of the recent work on the metaphysics of propositions, they need not represent nor must they be structured. In light of these observations, we conclude by sketching our own favored minimalist view of propositions. (shrink)

Propositions are posited to perform a variety of explanatory roles. One important role is being what is designated by a dedicated linguistic expression like a "that"-clause. In this paper, the case that propositions are needed for such a role is bolstered by defending that there are other expressions dedicated to designating propositions. In particular, it is shown that natural language has anaphors for propositions. Complement "so" and the response markers "yes" and "no" are argued to be such expressions.

It is argued that propositions cannot be the compositional semantic values of sentences (in context) simply due to issues stemming from the compositional semantics of modal operators (or modal quantifiers). In particular, the fact that the arguments for double indexing generalize to multiple indexing exposes a fundamental tension in the default philosophical conception of semantic theory. This provides further motivation for making a distinction between two sentential semantic contents—what (Dummett 1973) called “ingredient sense” and “assertoric content”.

The notion of a proposition as a set of possible worlds or states occupies central stage in probability theory, semantics and epistemology, where it serves as the fundamental unit both of information and meaning. But this fact should not blind us to the existence of prospects with a different structure. In the paper I examine the use of random variables—in particular, proposition-valued random variables— in these fields and argue that we need a general account of rational attitude (...) formation with respect to them. (shrink)

// tl;dr A Proposition is a Way of Thinking // -/- This chapter is about type-theoretic approaches to propositional content. Type-theoretic approaches to propositional content originate with Hintikka, Stalnaker, and Lewis, and involve treating attitude environments (e.g. "Nate thinks") as universal quantifiers over domains of "doxastic possibilities" -- ways things could be, given what the subject thinks. -/- This chapter introduces and motivates a line of a type-theoretic theorizing about content that is an outgrowth of the recent literature on (...) epistemic modality, according to which contentful thought is broadly "informational" in its nature and import. The general idea here is that an object of thought is not a way *the world* could be, but rather a way *one's perspective* could be (with respect to a relevant representational question). I will spend the middle part of this chapter motivating and developing a version of this strategy that is, I’ll argue, well-suited to explaining clear phenomena concerning the attribution of perspectival attitudes -- in particular, attitudes towards loosely information-sensitive propositions -- with which extant approaches struggle. My overarching goal here will be to motivate a distinctive version of the "informational" approach -- the "Flexible Types" approach, which is based on the theory proposed in Charlow (2020). According to the Flexible Types approach, propositional attitude verbs are quantifiers over sets of possibilities, but a possibility is a type-flexible notion -- sometimes a possible world, sometimes a perspective, sometimes a set of possible worlds, sometimes a set of perspectives. -/- After introducing the Flexible Types approach, this chapter circles back to more traditional concerns for the analysis of propositions as types of possibilities -- Frege's Puzzle and the problem of Logical Omniscience. Here too the Flexible Types approach bears fruit. Although there are certainly significant differences -- I note some in the concluding section -- the gist of this theory is Hinitkkan or Lewisian in spirit (if not quite in letter). We can make progress on addressing the challenges for the analysis of propositional content in terms of types of possibilities, through empirically driven refinement of our notion of what kind of thing a "doxastic possibility" is. (shrink)

This special issue of GPS collects 11 papers (and a long introduction), by leading philosophers and young researchers, which tackle more or less from close the topic of propositions by trying to provide the reader with a cross-section of the ongoing debate in this area. The raised issues range over the semantics, the ontology, the epistemology, and the philosophy of mathematics and stimulate the reader to reflect on crucial problems such as the following: are propositions objects? In the positive case, (...) what kind of objects are they? Can they be grasped by cognitive creatures such as we are? When can we say that two people entertain the same proposition? Have propositions any role to play in speech act theory? Even though the notion of proposition has received considerable attention in the past philosophical debate, it is still of great interest, in particular in connection with the attacks which have recently been launched against it in the theory of language. The volume, which is equipped with a long and detailed introduction that supplies the young reader with useful background information on the different stances in the debate, could prove useful also for didactic purposes. (shrink)

Philosophers have accused locke of holding a view about propositions that simply conflates the formation of a propositional thought with the judgment that a proposition is true, and charged that this has obviously absurd consequences.1 Worse, this account appears not to be unique to Locke: it bears a striking resemblance to one found in both the Port-Royal Logic (the Logic, for short) and the Port-Royal Grammar. In the Logic, this account forms part of the backbone of the traditional logic (...) expounded in the text. As a result, the account’s alleged faults seem to seriously threaten the coherence and value of the whole approach to logic. And to the extent that Locke’s core philosophical commitments, in particular his .. (shrink)

Propositionalism is the view that intentional attitudes, such as belief, are relations to propositions. Propositionalists argue that propositionalism follows from the intuitive validity of certain kinds of inferences involving attitude reports. Jubien (2001) argues powerfully against propositions and sketches some interesting positive proposals, based on Russell’s multiple relation theory of judgment, about how to accommodate “propositional phenomena” without appeal to propositions. This paper argues that none of Jubien’s proposals succeeds in accommodating an important range of propositional phenomena, such as the (...) aforementioned validity of attitude-report inferences. It then shows that the notion of a predication act-type, which remains importantly Russellian in spirit, is sufficient to explain the range of propositional phenomena in question, in particular the validity of attitude-report inferences. The paper concludes with a discussion of whether predication act-types are really just propositions by another name. (shrink)

According to many actualists, propositions, singular propositions in particular, are structurally complex, that is, roughly, (i) they have, in some sense, an internal structure that corresponds rather directly to the syntactic structure of the sentences that express them, and (ii) the metaphysical components, or constituents, of that structure are the semantic values — the meanings — of the corresponding syntactic components of those sentences. Given that reference is "direct", i.e., that the meaning of a name is its denotation, an (...) apparent consequence of this view is that any proposition expressed by a sentence containing a name that denotes a contingent being S is itself contingent — notably, the proposition [S does not exist]. Assuming that an entity must exist to have a property, necessarily, [S does not exist] must exist in order to be true. It seems to follow that, necessarily, [S does not exist] is not true and, hence, that S is not contingent after all. Past approaches to the problem — notably, those of Prior and Adams — lead to highly undesirable consequences for quantified modal logic. In this paper, several solutions to this puzzle are developed that preserve actualism, the structured view of propositions, the direct theory of reference, and the intuition that [S does not exist] is indeed possible without the adverse consequences for QML of previous solutions. (shrink)

Philosophers of the modern period are often presented as having made an elementary error: that of confounding the attitude one adopts toward a proposition with its content. By examining the works of Locke and the Port-Royalians, I show that this accusation is ill-founded and that Locke, in particular, has the resources to construct a theory of propositional attitudes.

It is often presumed by those who use propositions in their theories that propositions are representational; that is, that propositions represent the world as being some way. This paper makes two claims against this presumption. First, it argues that it does not follow from the fact that propositions play the theoretical roles usually attributed to them that they are representational. This conclusion is reached by rebutting three arguments that can be made in support of the claim that propositions are representational. (...) This paper then advances the further claim that propositions are not representational. It considers several ways to overcome the difficulties traditionally associated with this claim, particularly how to account for falsity. (shrink)

Propositional attitudes, states like believing, desiring, intending, etc., have played a central role in the articulation of many of our major theories, both in philosophy and the social sciences. Until relatively recently, psychology was a prominent entry on the list of social sciences in which propositional attitudes occupied center stage. In this century, though, behaviorists began to make a self-conscious effort to expunge "mentalistic" notions from their theorizing. Behaviorism has failed. Psychology therefore is again experiencing "formative years," and two themes (...) have caught the interest of philosophers. The first is that psychological theories evidently must exploit a vast array of relations obtaining among internal states. The second is that the use of mentalistic idioms seems to be explicit again in much of current theorizing. These two observations have led philosophers to wonder about the probable as well as the proper role of propositional attitudes in future psychological theories. Some philosophers wonder, in particular, about the role of the contents of propositional attitudes in the forthcoming theories. Their strategy is in part to discern what sorts of theory psychologists now will want to construct, and then discern what role propositional attitude contents might play in theories of those sorts. I consider here two sorts of theory, what I call minimal functional theories and what is known as propositional attitude psychology. ;I outline these two kinds of theory, and show how each defines a role for contents. Contents are ultimately eliminable in minimal functional theories. Although they play an apparently ineliminable role in propositional attitude psychology, they do so at an apparent cost. Propositional attitude psychology does not seem to accommodate a certain methodological principle, a principle of individualism in psychology, which is endorsed even by some of the philosophers most enamored of the approach. Such philosophers have two options: they can attempt to show that the conflict between the approach and the principle is not genuine, or they can reject the principle. I argue that the conflict is real, and recommend a qualified rejections of the principle. (shrink)

Like many, though of course not all, philosophers, I believe in propositions. I take propositions to be structured, sentence-like entities whose structures are identical to the syntactic structures of the sentences that express them; and I have defended a particular version of such a view of propositions elsewhere. In the present work, I shall assume that the structures of propositions are at least very similar to the structures of the sentences that express them. Further, I shall assume that ordinary (...) names are devices of direct reference and contribute only their bearers to propositions, that n-place predicates contribute n-place properties or relations to propositions, and that verbs of propositional attitude contribute to propositions two-place relations between individuals and propositions. The broad outline of a framework that includes these assumptions is one that I think many, though again not all, philosophers of language find congenial. I am concerned here to investigate and explain, from the standpoint of this framework, a puzzling phenomenon. The explanation I give of the phenomenon could be adapted to fit with frameworks somewhat different from the one adopted here. I adopt the present framework in part simply for definiteness. (shrink)

ABSTRACT Section 1 discusses properties and propositions, and some of the motivation for an account in which property instantiation and propositional truth behave ‘naively’. Section 2 generalizes a standard Kripke construction for naive properties and propositions, in a language with modal operators but no conditionals. Whereas Kripke uses a 3-valued value space, the generalized account allows for a broad array of value spaces, including the unit interval [0,1]. This is put to use in Section 3, where I add to the (...) language a conditional suitable for restricting quantification. The shift from a value space based on the ‘mini-space’ {0,, 1} to one based on the ‘mini-space’ [0,1] leads to more satisfactory results than I was able to achieve in previous work: a vast variety of paradoxical sentences can now be treated very simply. In Section 4 I make a further addition to the language, a conditional modeled on the ordinary English conditional, paying particular attention to how it interacts with the restricted quantifier conditional. This is all done in the [0,1] framework, and two alternatives are considered for how the ordinary conditional is to be handled; one of them results from adding a tweak to a construction by Ross Brady. Section 5 discusses a further alternative, a standard relevance conditional (for the ordinary conditional, perhaps for use with a different quantifier-restricting conditional), but argues that it is not promising. Section 6 discusses the identity conditions of properties and propositions (again in the setting of a value space based on [0,1]); the issue of achieving naivety for coarse-grained properties is seen to be more complicated than some brief remarks in Field [2010] suggested, but a way to get a fair degree of coarse-grainedness is shown. (shrink)

I argue that there is an inherent tension in the notion of a proposition that gives us reason to doubt that there can be any single entity that plays all the roles and possesses all the features normally attributed to propositions. The tension is that some of the roles and features of propositions require them to be essentially representational, while others require them to be non-representational. I first present what I call the standard view of propositions: a series of (...) theses outlining the roles they are normally thought to play and the features they are normally thought to possess. I then highlight a number of tensions inherent in the standard view. I illustrate how this very tension creates problems for some realist theories of propositions. I discuss the distinction between the truth of a proposition and its existence, and argue that paying heed to this distinction allows us to identify, and clear up, a particular confusion that leads us to posit propositions in the first place. Finally, I consider where a rejection of propositions leaves us, ontologically and theoretically. (shrink)

Bolzano's Sätze an sich and Frege's Gedanken are obviously close relatives. The paper underlines both similarities and dissimilarities between the psychological and semantical roles assigned to structured truth-evaluable contents in Bolzano's and Frege's theories. In particular, their different accounts of propositional identity are compared, and it is argued that Dummett's recent criticism of Frege's account is grist to Bolzano's mill.

This presentation of a system of propositional logic is a foundational paper for systems of illocutionary logic. The language contains the illocutionary force operators '' for assertion and ' ' for supposition. Sentences occurring in proofs of the deductive system must be prefixed with one of these operators, and rules of take account of the forces of the sentences. Two kinds of semantic conditions are investigated; familiar truth conditions and commitment conditions. Accepting a statement A or rejecting A commits a (...) person to accepting some statements (the symbol '' marks this value), to rejecting some statements (), and will leave the person uncommitted with respect to others (). Commitment valuations assign the values to sentences of ; such a valuation is conceived as reflecting the beliefs/knowledge of a particular person. This paper explores the relations between truth conditions and commitment conditions, and between semantic concepts defined in terms of these conditions. (shrink)

I present and discuss two logical results. The first shows that a non-trivial counterfactual analysis exists for any contingent proposition that is false in at least two possible worlds. The second result identifies a set of conditions that are individually necessary and jointly sufficient for the success of a counterfactual analysis. I use these results to shed light on the question whether disposition ascribing propositions can be analyzed as Stalnaker-Lewis conditional propositions. The answer is that they can, but, in (...) order for a counterfactual analysis to work, the antecedent and consequent must be related in a particular way, and David Lewis’s Time’s Arrow constraints on comparative world similarity must be relaxed. The upshot is that counterfactual analyses are easy to come by, in principle, even if not in practice. In that sense, it’s easy to be iffy. (shrink)

The Substitution Anomaly is the failure of intuitively coreferential expressions of the corresponding forms “that S” and “the proposition that S” to be intersubstitutable salva veritate under certain ‘selective’ attitudinal verbs that grammatically accept both sorts of terms as complements. The Substitution Anomaly poses a direct threat to the basic assumptions of Millianism, which predict the interchangeability of “that S” and “the proposition that S”. Jeffrey King has argued persuasively that the most plausible Millian solution is to treat (...) the selective attitudinal verbs as lexically ambiguous , having distinct meanings associated with the different sorts of complement terms. In opposition this approach, I argue that there are independent reasons for maintaining the univocality of these verbs and that this can be done while accommodating the Substitution Anomaly and without sacrificing the transparency of the relevant attitude ascriptions. In particular, I show how, by employing an extended version of Edward Zalta’s system of intensional logic for abstract objects, one can construct for a regimented fragment ℜ of English containing the relevant vocabulary a semantical theory ℑ which (a) treats ℜ’s selective attitudinal verbs as univocal, (b) regards genuine terms as occurring transparently under such verbs in sentences of ℜ, and yet (c) predicts the occurrence of the Substitution Anomaly in ℜ. (shrink)

[Edited from Conclusion section:] We have looked at various challenging issues to do with getting connectionism to cope with high-level cognitive activities such a reasoning and natural language understanding. The issues are to do with various facets of generalization that are not commonly noted. We have been concerned in particular with the special forms these issues take in the arena of propositional attitude processing. The main problems we have looked at are: (1) The need to construct explicit representations of (...) generalizations, not just generalize correctly to individual cases; (2) The need to be able to match two or more complex short-term information structures, to enable rapid generalization from recent examples rather than from long-term memories; (3) The need to represent and reason with anomalous combinations of concepts; (4) The need to perform embedded reasoning. This presents special problems for systems using non-concatenative representations (as in mainstream connectionist approaches). We also touched on vague quantification in attitude report complements. Neither this topic nor that of analogies between short-term structures (point 2) has been adequately addressed in the symbolic framework, let alone in connectionism. -/- The opportunities and problems covered are put forward as things worth being optimistic about or pessimistic about, respectively. They are not put forward as decisive arguments for or against connectionism. The hope is that this chapter contributes to a greater understanding of the connectionist/symbolist gap by presenting some unusual issues and by throwing new light on some well known ones. (shrink)

Theories deploy various theoretical representations of their explananda and one question we can ask about those representations is whether to regard them under a realist attitude, i.e. as revealing the nature of what they represent, or whether to regard them under an instrumentalist attitude instead, i.e. as serving particular explanatory ends without the further revelatory aspect. I consider structured propositions as theoretical representations within a particular explanatory setting -- the metaphysics of what is said -- and argue that (...) a realist attitude towards them is unwarranted. I offer various considerations against the widespread tendency to regard structured propositions as revealing the nature of what is said and conclude that they should be regarded under an instrumentalist attitude instead. (shrink)

This paper considers the question of what knowing a logical rule consists in. I defend the view that knowing a logical rule is having propositional knowledge. Many philosophers reject this view and argue for the alternative view that knowing a logical rule is, at least at the fundamental level, having a disposition to infer according to it. To motivate this dispositionalist view, its defenders often appeal to Carroll’s regress argument in ‘What the Tortoise Said to Achilles’. I show that this (...) dispositionalist view, and the regress that supposedly motivates it, operate with the wrong picture of what is involved in knowing a logical rule. In particular I show that it gives us the wrong picture of the relation between knowing a logical rule and actions of inferring according to it, as well as of the way in which knowing a logical rule might be a priori. (shrink)

A novel normal form for propositional theories underlies the logic pdl, which captures some essential features of natural discourse, independent from any particular subject matter and related only to its referential structure. In particular, pdlallows to distinguish vicious circularity from the innocent one, and to reason in the presence of inconsistency using a minimal number of extraneous assumptions, beyond the classical ones. Several, formally equivalent decision problems are identified as potential applications: non-paradoxical character of discourses, admissibility of arguments (...) in argumentation networks, propositional satisfiability, and the existence of kernels of directed graphs. Directed graphs provide the basis for the semantics of pdl and the paper concludes by an overview of relevant graph-theoretical results and their applications in diagnosing paradoxical character of natural discourses. (shrink)

It is our contention that an ontological commitment to propositions faces a number of problems; so many, in fact, that an attitude of realism towards propositions—understood the usual “platonistic” way, as a kind of mind- and language-independent abstract entity—is ultimately untenable. The particular worries about propositions that marshal parallel problems that Paul Benacerraf has raised for mathematical platonists. At the same time, the utility of “proposition-talk”—indeed, the apparent linguistic commitment evident in our use of 'that'-clauses (in offering explanations (...) and making predictions)—is also in need of explanation. We account for this with a fictionalist analysis of our use of 'that'-clauses. Our account avoids certain problems that arise for the usual error-theoretic versions of fictionalism because we apply the notion of semantic pretense to develop an alternative, pretense-involving, non-error-theoretic, fictionalist account of proposition-talk. (shrink)

This paper defends the view that attitudinal objects such as claims, beliefs, judgments, and requests form an ontological category of its own sharply distinguished from that of events and states and that of propositions. Attitudinal objects play a central role in attitude reports and avoid the conceptual and empirical problems for propositions. Unlike the latter, attitudinal objects bear a particular connection to normativity. The paper will also discuss the syntactic basis of a semantics of attitude reports based on attitudinal (...) objects. (shrink)

The topic of this article is the ontology of practical reasons. We draw a critical comparison between two views. According to the first, practical reasons are states of affairs; according to the second, they are propositions. We first isolate and spell out in detail certain objections to the second view that can be found only in embryonic form in the literature – in particular, in the work of Jonathan Dancy. Next, we sketch possible ways in which one might respond (...) to each one of these objections. A careful evaluation of these complaints and responses, we argue, shows that the first view is not as obviously compelling as it is thought by Dancy. Indeed, it turns out that the view that practical reasons are propositions is by no means unworkable and in fact, at least under certain assumptions, explicit considerations can be made in favour of a propositional construal of reasons. (shrink)

Following Wittgenstein’s lead, Crispin Wright and others have argued that hinge propositions are immune from skeptical doubt. In particular, the entitlement strategy, as we shall refer to it, says that hinge propositions have a special type of justification because of their role in our cognitive lives. Two major criticisms are raised here against the entitlement strategy when used in attempts to justify belief in the external world. First, the hinge strategy is not sufficient to thwart underdetermination skepticism, since underdetermination (...) considerations lead to a much stronger form of skepticism than is commonly realized. Second, the claim that hinge propositions are necessary to trust perception is false. There is an alternative to endorsing a particular hinge proposition about the external world, external world disjunctivism, which permits us to trust perception, while skirting the difficulties raised by skepticism. (shrink)

This paper is concerned with Wittgenstein's early doctrine of the independence of elementary propositions. Using the notion of a free generator for a logical calculus–a concept we claim was anticipated by Wittgenstein–we show precisely why certain difficulties associated with his doctrine cannot be overcome. We then show that Russell's version of logical atomism–with independent particulars instead of elementary propositions–avoids the same difficulties.

My topic in this paper is a particular species of epistemic justification – a species that, following Roderick Firth, I call “propositional justification.”1 Propositional justification is a relation between a person and a proposition. I will say that for S to bear the propositional justification relation to p is for S to be “justified in believing” that p. What is propositional justification? What is it for S to be justified in believing that p? Here’s my answer.

Gaskin's book The Unity of the Proposition is very rich in material. I will focus only on its central thesis: Gaskin holds that Bradley's regress (more precisely, one particular version of it) is not only innocent, but in fact philosophically significant because it plays a crucial role in solving what Gaskin calls the problem of the unity of the proposition . In what follows, I first explain what that problem is meant to be ( section 1 ), (...) then I present and criticise Gaskin's proposal about how Bradley's regress bears on the problem ( section 2 ), and finally I sketch an alternative approach to the problem ( section 3 ). (shrink)

Intuitively Austinian propositions are propositions that tell us something about a situation In this paper we will consider Austinian propositions and the associated notion that situations support infons which are to be found in situation theory and situation semantics We will try to tease out the consequences of taking the Austinian approach advocated in situation semantics as opposed to a very similar approach originally proposed by Davidson That is that event predicates where events are to be generally conceived so as (...) to be more like the notion of sit uation i e including states and processes are taken to have an argument position for an event We will do this comparison with respect to an area of data that was part of the original motivation for situation semantics naked in nitive perception complements see Barwise and Perry We will see that negative descriptions of events are one area where the Austinian and Davidsonian approaches make dif ferent predictions and at the end of the paper we will brie y consider negative event descriptions more generally with particular reference to the DRT analysis based on a Davidsonian approach as exempli ed by Amsili and Le Draoulec this volume.. (shrink)

In the previous paper with a similar title :311–344, 2018), we presented a family of propositional epistemic logics whose languages are extended by two ingredients: by quantification over modal operators or over agents of knowledge and by predicate symbols that take modal operators as arguments. We denoted this family by \}\). The family \}\) is defined on the basis of a decidable higher-order generalization of the loosely guarded fragment of first-order logic. And since HO-LGF is decidable, we obtain the decidability (...) of logics of \}\). In this paper we construct an alternative family of decidable propositional epistemic logics whose languages include ingredients and. Denote this family by \}\). Now we will use another decidable fragment of first-order logic: the two variable fragment of first-order logic with two equivalence relations +2E) [the decidability of FO\+2E was proved in Kieroński and Otto :729–765, 2012)]. The families \}\) and \}\) differ in the expressive power. In particular, we exhibit classes of epistemic sentences considered in works on first-order modal logic demonstrating this difference. (shrink)

The standard truth-conditional semantics for substitutional quantification, due to Saul Kripke, does not specify what proposition is expressed by sentences containing the particular substitutional quantifier. In this paper, I propose an alternative semantics for substitutional quantification that does. The key to this semantics is identifying an appropriate propositional function to serve as the content of a bound occurrence of a formula containing a free substitutional variable. I apply this semantics to traditional philosophical reasons for interest in substitutional quantification, (...) namely, theories of truth and ontological commitment. (shrink)

In this paper we compare the propositional logic of Frege’s Grundgesetze der Arithmetik to modern propositional systems, and show that Frege does not have a separable propositional logic, definable in terms of primitives of Grundgesetze, that corresponds to modern formulations of the logic of “not”, “and”, “or”, and “if…then…”. Along the way we prove a number of novel results about the system of propositional logic found in Grundgesetze, and the broader system obtained by including identity. In particular, we show (...) that the propositional connectives that are definable in terms of Frege’s horizontal, negation, and conditional are exactly the connectives that fuse with the horizontal, and we show that the logical operators that are definable in terms of the horizontal, negation, the conditional, and identity are exactly the operators that are invariant with respect to permutations on the domain that leave the truth-values fixed. We conclude with some general observations regarding how Frege understood his logic, and how this understanding differs from modern views. (shrink)

Suppose that John asks, ‘Is the window open?’ and Mary replies, ‘The window is open.’ Then John and Mary have produced two distinct utterances, and in doing so, they have performed two different kinds of speech act. But clearly there is something that these utterances have in common. According to the standard theory of speech acts, in these utterances different illocutionary forces have been applied to the same propositional content. Similarly, if John and Mary both believe that roses are red, (...) the same propositional content is attributed to their individual mental states.The propositional contents of utterances and beliefs have traditionally been identified with propositions. In turn, propositions have been characterized as language-independent particulars that can be re-identified in different contexts. In this article, I will argue that various phenomena that have hitherto been explained by propositions are better understood in terms of propositional acts. (shrink)

Language was central to Hobbes's understanding of human beings and their mental abilities, and criticism of other philosophers' uses of language became a favorite critical tool for him. This paper connects Hobbes's theories about language to his criticisms of others' language, examining Hobbes's theories of propositions and truth, and how they relate to his claims that various sorts of proposition are absurd. It considers whether Hobbes in fact means anything more by 'absurd' than 'false'. And it pays particular (...) attention to Hobbes's categorization of causes of absurdity and of types of incoherent proposition, arguing that Hobbes's approach is only loosely related to later discussions of category mistakes. (shrink)

Using William Shakespeare’s Hamlet and the play-within-the play, The Murder of Gonzago, as a case study, this essay argues that theatrical utterances constitute a special case of language usage not previously elucidated: the utterance of a statement with propositional content in theatre functions as an event. In short, the propositional content of a particular p (e.g. p1, p2, p3 …), whether or not it is true, is only understood—and understood to be true—if p1 is uttered in a particular (...) time, place, and situation (i.e. during a theatrical event); otherwise, the propositional content in those theatrical utterances can either be false or contingently true. (shrink)

This paper discusses a problem for Russellian propositions. According to Russellianism, each word in a sentence contributes its referent to the proposition expressed by the sentence. Russellian propositions have normally been conceived of as problematic for two reasons, viz. they cannot account for the unity of the proposition and they have problems with non-referring singular names. In this paper, I argue that Russellianism also faces a problem with respect to properties. It is inconsistent with both traditional realism and (...) trope-theories. The only theory of properties which is consistent with Russellianism is Platonism. Moreover, it is argued that Russellianism needs a particularly implausible version of Platonism. (shrink)

A significant part of Kit Fine’s work in metaphysics assumes a very fine-grained individuation of propositions and facts. This article discusses how such fine distinctions lead to inconsistency in ways which are similar to the inconsistency of naive set comprehension. The case of constraints on individuation arising from a relation of metaphysical ground will be considered in particular. Fine has developed a view of sets in response to the inconsistency of naive set comprehension according to which sets are postulated, (...) and so form a merely potential hierarchy. This article explores what an analogous potentialist response might look like in the case of finely distinguished propositions and facts, and applies the resulting view to the case of metaphysical grounding. A potentially problematic feature of the view is highlighted, which is that it is unclear how it might allow one to formulate in suitable generality the claim that grounding is a well-founded relation among possible propositions. (shrink)

Some propositions are structurally unknowable for certain agents. Let me call them ‘Moorean propositions’. The structural unknowability of Moorean propositions is normally taken to pave the way towards proving a familiar paradox from epistemic logic—the so-called ‘Knowability Paradox’, or ‘Fitch’s Paradox’—which purports to show that if all truths are knowable, then all truths are in fact known. The present paper explores how to translate Moorean statements into a probabilistic language. A successful translation should enable us to derive a version of (...) Fitch’s Paradox in a probabilistic setting. I offer a suitable schematic form for probabilistic Moorean propositions, as well as a concomitant proof of a probabilistic Knowability Paradox. Moreover, I argue that traditional candidates to play the role of probabilistic Moorean propositions will not do. In particular, we can show that violations of the so-called ‘Reflection Principle’ in probability need not yield structurally unknowable propositions. Among other things, this should lead us to question whether violating the Reflection Principle actually amounts to a clear case of epistemic irrationality, as it is often assumed. This result challenges the importance of the principle as a tool to assess both synchronic and diachronic rationality—a topic which is largely independent of Fitch’s Paradox—from a somewhat unexpected source. (shrink)

Twardowski'sOn the Content and Object of Presentations(1894) is one of the most influential works that Austrian philosophy has left to posterity. The manuscriptLogik(1894–1895) supplements that work and allows us to reconstruct Twardowski's theory of judgement. These texts raise several issues, in particular whether Twardowski accepts propositions and states of affairs in his theory of judgement and whether his theory is acceptable. This article presents Twardowski's theory, shows that he accepts states of affairs, that he has a notion of (...) class='Hi'>proposition, and that his theory is interesting and sophisticated. (shrink)

I show that the assumption of highly structured propositions can be leveraged to provide a unified semantics for various propositional logics of impure ground in a very expressive and flexible way. It is shown, in particular, that the induced models are capable of capturing an infinitude of grounding facts that follow from unrestricted logics of ground, but, due to certain artificial restrictions, are left unaccounted for by the existing semantics in the literature. It is also shown that our models, (...) unlike the ones in the literature, are easily extendable to capture certain distinct views about iterated as well as identity grounding. (shrink)

In the appendix to Psychosemantics, entitled ‘Why There Still has to be a Language of Thought,’ Jerry Fodor offers several arguments for the language of thought thesis. The LOT, as articulated by Fodor, is a thesis about propositional attitudes. It comprises the following two claims: propositional attitudes are relations to meaning-bearing tokens — for example, to believe that P is to bear a certain relation to a token of a symbol which means that P; and the representational tokens in question (...) are quasi-linguistic — in particular, they have the constituent structure appropriate to a language. (shrink)

This paper is a continuation of dag-like proof compression research initiated in [9]. We investigate proof compression phenomenon in a particular, most transparent case of propositional DNF Logic. We define and analyze a very efficient semi-analytic sequent calculus SEQ*0 for propositional DNF. The efficiency is achieved by adding two special rules CQ and CS; the latter rule is a variant of the weakened substitution rule WS from [9], while the former one being specially designed for DNF sequents. We show (...) that dag-like SEQ*0 has good deterministic proof search strategy. Furthermore, we expose six examples showing that dag-like deducibility in SEQ*0 admits exponential-size proof compression, as compared to familiar proof systems like cutfree sequent calculi, resolution and cutting plane proof systems. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:76 Reviews PROPOSITIONAL ANALYSIS David Blitz Philosophy Dept. and Peace Studies / Central Connecticut State U. New Britain, ct 06050, usa blitz@mail.ccsu.edu Graham Stevens. The Russellian Origins of Analytical Philosophy: Bertrand Russell and the Unity of the Proposition. London and New York: Routledge, 2005. Pp. xii, 185. isbn: 978-0-415-36044-9 (hb). £80.00. us$155.95. Graham Stevens has written a short book on a diUcult subject: the unity of the (...) class='Hi'>proposition. While the title of the volume is The Russellian Origins of Analytic Philosophy, the underlying theme is the comparatively little discussed problem of how the elements of a proposition come together to form a unity, as indicated in the book’s subtitle: “Bertrand Russell and the Unity of the Prop­ osition”. Stevens traces this concept, as a unifying thread or “central concern”, throughout Russell’s many philosophies which constitute for Stevens a “consis­ tent and constantly evolving philosophy” (p. 2) stretching from the earliest log­ ical writings to the later works of the 1930s and 1940s. This is an important and well written volume, which Russellians should have in their personal and uni­ versity libraries. That the “unity of the proposition” is a problem at all requires the reader to return to the neo-Hegelian idealism which Russell encountered as a student at Cambridge.1 Russell, inXuenced by Peano and Frege, broke with the doctrine of internal relations, defended by Bradley and others, according to which external relations are unreal and false appearance. However, an important element of idealism remains even during the Principia period, due to Russell’s continued belief that a proposition is a non-linguistic, non-mental, abstract entity; these elements are all of the same ontological kind, which can be identiWed through analysis and recombined so that their synthesis reconstitutes the original “unity of the proposition”. This turns out to be a very tall order which will occupy Russell for nearly half a century. Consider the standard example Russell gives: “Desdemona loves Cassio”. According to Russell, this proposition (independently of its truth or falsity) actually contains its “simple constituents”z—zwith “Desdemona” and “Cassio” being things and “loves” a concept. Russell, as a founder of analytic philosophy, has to defend the legitimacy of this analysis from the claim that it has reduced 1 Chapter 1: “Russell, Frege and the Analysis of Unities”. December 2, 2009 (5:28 pm) E:\CPBR\RUSSJOUR\TYPE2901\russell 29,1 060 red.wpd E:\CPBR\RUSSJOUR\TYPE2901\russell 29,1 060 red.wpd Reviews 77 the structured unity of the proposition into an unstructured set of parts (or heap) where the original order of combination has been lost. The problem of is that merely listing “Desdemona”, “Cassio” and “loves” does not indicate the way in which the terms were originally combined or re­ lated. For reasons to be made clear later, this is referred to in the literature as the “narrow order problem”. In particular, the question arises as to how analysis enables us to assert that it is Desdemona who loves Cassio (supposing this to be the case), rather than the other way around (since love may not be requited). Stevens deals with logical form in a later chapter devoted to the problem of belief statements, but the notion applies here as well: analysis seems to have skip­ ped the logical form, the way in which the constituents are combined. But if the logical form is included, then there seems to be an extra constituent in the prop­ osition not given by direct inspection, and analysis would appear to have added something above and beyond what was there before the analysis. Adding linking relations to indicate how the components were originally combined does not help either. If there is some relation Lz which relates “Desdemona” and “loves” and another relation Rz which relates “loves” and “Cassio”, then there are Wve constituents, not three. Moreover, there is now room for inWnite regress, with a relation L2 linking “Desdemona” and L, R2 linking “loves” and “Cassio”, and so on. But without adding these additional items, there is an apparent failure of an­ alysis to fully provide the order of the elements present in the original... (shrink)