This dissertation is about the structure of thought. Following Gottlob Frege, I define a thought as the sort of content relevant to determining whether an assertion is true or false. The historical component of the dissertation involves interpreting Frege’s actual views on the structure of thought. I argue that Frege did not think that a thought has a unique decomposition into its component senses, but rather the same thought can be decomposed into senses in a variety of distinct ways. I (...) extend Frege’s position and use it to develop an account of the hierarchy of senses, the senses expressed by indexicals and demonstratives, and the distinction between logical and non-logical structure. I also discuss various connections with the nature of meta-representation, our capacity for reflective judgment, some aspects of the structure of conscious experience, the way we perceive regions of space and durations of time, and our conscious awareness of our own perceptions and events of thinking. (shrink)

Frege's conception of the logical categories has vexed commentators for decades. In this dissertation, I argue that it revolves around two forms of internality. The first is the internality of its use in the expression of judgment to the sign. A proper understanding of that internality reveals how Frege's philosophical logic cannot be fit into the framework given by the contemporary syntax/semantics distinction. The second is the internality that obtains between the way in which Begriffsschrift signs stratify into different categories, (...) on the one hand, and the way in which the realm of Bedeutungen stratifies into logical categories, on the other hand. A proper understanding of this internality reveals how Frege's conception of the relation between language and the world is neither a form of realism nor a form of linguistic idealism. To come to understand Frege's conception of the logical categories, is to come to understand both these forms of internality by coming to understand how they hang together. (shrink)

What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...) argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims, as well as our logical and mathematical knowledge. (shrink)

The idea that thoughts are structured is essential to Frege's understanding of thoughts. A basic tenet of his thinking was that the structure of a sentence can serve as a model for the structure of a thought. Recent commentators have, however, identified tensions between that principle and certain other doctrines Frege held about thoughts. This paper suggests that the tensions identified by Dummett and Bell are not really tensions at all. In establishing the case against Dummett and Bell the paper (...) argues (a) that Frege was committed, in virtue of his doctrine of decomposition, to the thesis that a single sentence can express a range of thoughts, and (b) that Frege was committed, in virtue of his views about truth, to the thesis that a single thought can be expressed by structurally different sentences. But neither of these theses comes into conflict with the basic principle. (shrink)

It is almost universally accepted that the Frege–Geach Point is necessary for explaining the inferential relations and compositional structure of truth-functionally complex propositions. I argue that this claim rests on a disputable view of propositional structure, which models truth-functionally complex propositions on atomic propositions. I propose an alternative view of propositional structure, based on a certain notion of simulation, which accounts for the relevant phenomena without accepting the Frege–Geach Point. The main contention is that truth-functionally complex propositions do not include (...) as their parts truth-evaluable propositions, but their simulations, which are neither forceful nor truth-evaluable. The view makes room for the idea that there is no such thing as the forceless expression of propositional contents and is attractive because it provides the resources for avoiding a fundamental problem generated by the Frege–Geach Point concerning the relation between forceless and forceful expressions of propositional contents. I further argue that the acceptance of the Frege–Geach Point mars Peter Hanks’ and François Recanati’s recent attempts to resist the widespread idea that assertoric force is extrinsic to the expression of propositional contents. Rejecting this idea, I maintain, requires a deeper break with the tradition than Hanks and Recanati have allowed for. (shrink)

I show that the act-type theories of Soames and Hanks entail that every sentence with alternative analyses (including every atomic sentence with a polyadic predicate) is ambiguous, many of them massively so. I assume that act types directed toward distinct objects are themselves distinct, plus some standard semantic axioms, and infer that act-type theorists are committed to saying that ‘Mary loves John’ expresses both the act type of predicating [loving John] of Mary and that of predicating [being loved by Mary] (...) of John. Since the two properties are distinct, so are the act types. Hence, the sentence expresses two propositions. I also discuss a non-standard “pluralist” act-type theory, as well as some retreat positions, which all come with considerable problems. Finally, I extrapolate to a general constraint on theories of structured propositions, and find that Jeffrey King’s theory has the same unacceptable consequence as the act-type theory. (shrink)

Divine simplicity is central to Thomas Aquinas’s philosophy of God. Most important for Aquinas is his view that God’s existence (esse) is identical to God’s essence; for everything other than God, there is a distinction between existence and essence. However, recent developments in analytic philosophy about the nature of existence threaten to undermine what Aquinas thought regarding divine simplicity. In the first chapter of this dissertation, I trace Aquinas’s thinking on divine simplicity through the various texts he wrote regarding the (...) matter. I establish that it is crucial for Aquinas that God is identical to his existence. But, is it even coherent to talk about “a thing’s existence?” In Chapter Two I summarize the arguments of C.J.F. Williams that existence is not a real property that individuals have and that predicating the word “exists” after the name of an individual produces linguistic gibberish. After considering, and rejecting, in Chapter Three attempts by some philosophers to refute Williams’s arguments, I turn, in Chapter Four, to a more detailed account of what Aquinas means by esse, the Latin word often rendered in English as “existence.” The conclusion that I come to is that Aquinas does not mean by esse what contemporary philosophers have usually meant by “existence.” Rather, he understands esse to be the act by which anything can be anything at all, instead of there being nothing whatsoever. In the final chapter, I turn to implications of this for Aquinas’s views of divine simplicity, showing that rather than being incoherent, Aquinas’s thinking on esse points toward the unfathomable mystery that is God. (shrink)

Frege appears to hold both that thoughts are internally articulated, in a way that mirrors the semantic articulation of the sentences that express them, and that the same thought can be analyzed in different ways, none of which has to be more fundamental than the others. Commentators have often taken these theses to be mutually incompatible and have tended to polarize into two camps, each of which attributes to Frege one of the theses, but maintains that he is only apparently (...) committed to the other. This paper argues that there are good exegetical and philosophical reasons for reconciling the two theses; that this reconciliation can be achieved by rejecting an assumption shared by the two opposite camps of the exegetical debate, i.e., the assumption that essential articulatedness implies unique articulation; and finally, that this crucial assumption can be resisted by appreciating Frege’s anti-atomistic and ‘organic’ conception of the internal complexity of thoughts. (shrink)

This paper identifies a tension in Frege’s philosophy and offers a diagnosis of its origins. Frege’s Context Principle can be used to dissolve the problem of propositional unity. However, Frege’s official response to the problem does not invoke the Context Principle, but the distinction between ‘saturated’ and ‘unsaturated’ propositional constituents. I argue that such a response involves assumptions that clash with the Context Principle. I suggest, however, that this tension is not generated by deep-seated philosophical commitments, but by Frege’s occasional (...) attempt to take a dubious shortcut in the justification of his conception of propositional structure. (shrink)

This book aims to develop certain aspects of Gottlob Frege’s theory of meaning, especially those relevant to intensional logic. It offers a new interpretation of the nature of senses, and attempts to devise a logical calculus for the theory of sense and reference that captures as closely as possible the views of the historical Frege. (The approach is contrasted with the less historically-minded Logic of Sense and Denotation of Alonzo Church.) Comparisons of Frege’s theory with those of Russell and others (...) are given. It is in the end shown that developing Frege’s theory in these ways reveals serious problems hitherto largely unnoticed, including those possibly rendering a Fregean intensional logic inconsistent even if his naïve class theory is excluded. (shrink)

In English, in order to speak about Arthur’s attitudes, we use sentences like “Arthur believes that natural language is messy”. For sentences of this kind we have a standard theory, according to which the ‘that’-clause ‘that natural language is messy’ denotes a proposition. As Prior showed for the first time, the standard theory appears to be at odds with some linguistic data. Geach and Prior both assumed that linguistic data are to be taken as reliable guides to a correct semantic (...) account and I will start by raising some worries concerning their methodology. Because of these data, Prior and Geach suggested some non-standard accounts. I will then show that if we take linguistic data seriously, their non-standard accounts do not fare any better than the standard theory. My general conclusion will thus not only be that Prior’s and Geach’s methodology is disputable, but also that their conclusions do not seem to follow even if we grant the reliability of their methodology. (shrink)

Michael Dummett is a leading contemporary philosopher whose work on the logic and metaphysics of language has had a lasting influence on how these subjects are conceived and discussed. This volume contains some of the most provocative and widely discussed essays published in the last fifteen years, together with a number of unpublished or inaccessible writings. Essays included are: "What is a Theory of Meaning?," "What do I Know When I Know a Language?," "What Does the Appeal to Use Do (...) for the Theory of Meaning?," "Language and Truth," "Truth and Meaning," "Language and Communication," "The Source of the Concept of Truth," "Mood, Force, and Convention," "Frege and Husserl on Reference," "Realism," "Existence," "Does Quantification Involve Identity?," "Could there be Unicorns?," "Causal Loops," "Common Sense and Physics," "Testimony and Memory," "What is Mathematics About?," "Wittgenstein on Necessity: Some Reflections," and "Realism and Anti-Realism." Serving well as a companion to Dummett's other collections, the essays in this volume are not forbiddingly technical or specialized, and have relevance to many areas of analytic philosophy. (shrink)

The article first rehearses three deflationary theories of reference, (1) disquotationalism, (2) propositionalism (Horwich), and (3) the anaphoric theory (Brandom), and raises a number of objections against them. It turns out that each corresponds to a closely related theory of truth, and that these are subject to analogous criticisms to a surprisingly high extent. I then present a theory of my own, according to which the schema “That S(t) is about t” and the biconditional “S refers to x iff S (...) says something about x” are exhaustive of the notions of aboutness and reference. An account of the usefulness of “about” is then given, which, I argue, is superior to that of Horwich. I close with a few considerations about how the advertised theory relates to well-known issues of reference, the conclusions of which is (1) that the issues concern reference and aboutness only insofar as the words “about” and “refer” serve to generalise over the claims that are really at issue, (2) that the theory of reference will not settle the issues, and (3) that it follows from (2) that the issues do not concern the nature of aboutness or reference. (shrink)

A widely held view about Fregean Sense has it that the determination of a sign's referent by the sign's sense is achieved viasatisfaction: the sense specifies a condition (or set of conditions) and the referent is that entity, if any, which uniquely satisfies that (set of) condition(s). This is usually held in conjunction with the claim that the sense is existentially and qualitatively independent of the referent: if the referent did not exist, or did not uniquely satisfy the sense, the (...) sense would still exist and would still specify the same condition(s) that it actually does (and might determine a different referent than its actual one). Proponents of this view give several reasons for holding it. I describe these reasons and argue that they are not convincing. More generally, I try to show that the notion of satisfaction has no useful application within Frege's system. I then suggest an alternative account of the determination of a referent by a sense that I think is truer to Frege and more illuminating. Compared to the satisfaction view, my account construes determination as a more naturalistic and epistemically real relation between speakers and things in the world. (shrink)

For C.S. Peirce, who had a well‐known influence on many aspects of Ramsey's thought, pragmatism was viewed as inseparable from realism. The aim of this paper is to challenge the view according to which Ramsey's reflexions on universals are of a mere linguistic and logical nature. Not only is this view controversial, but it may be argued that some elements in Ramsey's analyses suggest a possibly realist answer to the problem of universals. By drawing comparisons with Peirce's own position, it (...) is suggested that Ramsey's views might not be inconsistent with many aspects of Peirce's scholastic and even Scotistic version of realism. (shrink)

Michael Dummett has long argued that Frege is committed to recognizing a distinction between two sorts of analysis of propositional contents: 'analysis', which reveals the entities that one must grasp in order to apprehend a given propositional content; and 'decomposition', which is used in recognizing the validity of certain inferences. Whereas any propositional content admits of a unique ultimate 'analysis' into simple constituents, it also admits of distinct 'decompositions', no one of which is ultimately privileged over the others. I argue (...) that although Russell accepts this distinction between analysis and decomposition, Frege does not. In particular, I consider claims which Dummett makes regarding how 'analysis' and 'decomposition' are related to two different models Frege at least suggests in discussing the composition of thoughts, the part/whole model and the function/argument model; and I argue that in each case, while Russell accepts views which Dummett attributes to Frege, Frege does not. (shrink)

Geach’s rich paper ‘A Program for Syntax’ introduced many ideas into the arena of categorial grammar, not all of which have been given the attention they warrant in the thirty years since its first publication. Rather surprisingly, one of our findings (Section 3 below) is that the paper not only does not contain a statement of what has widely come to be known as “Geach’s Rule”, but in fact presents considerations which are inimical to the adoption of the rule in (...) question. With regard to at least some amongst the numerous other points extracted here from Geach’s discussion, we shall not be able to reach so definitive a conclusion, and content ourselves with giving the issues an airing. (shrink)

Frank Plumpton Ramsey (1903–30) made seminal contributions to philosophy, mathematics and economics. Whilst he was acknowledged as a genius by his contemporaries, some of his most important ideas were not appreciated until decades later; now better appreciated, they continue to bear an influence upon contemporary philosophy. His historic significance was to usher in a new phase of analytic philosophy, which initially built upon the logical atomist doctrines of Bertrand Russell and Ludwig Wittgenstein, raising their ideas to a new level of (...) sophistication, but ultimately he became their successor rather than remain a mere acolyte. (shrink)

Whether a predicate is a referential expression depends upon what reference is conceived to be. Even if it is granted that reference is a relation between words and worldly items, the referents of expressions being the items to which they are so related, this still leaves considerable scope for disagreement about whether predicates refer. One of Frege's great contributions to the philosophy of language was to introduce an especially liberal conception of reference relative to which it is unproblematic to suppose (...) that predicates are referring expressions. According to this liberal conception, each significant expression in a language has its own distinctive semantic role or power, a power to effect the truth-value of the sentences in which it occurs. (shrink)

Philosophers of mathematics agree that the only interpretation of arithmetic that takes that discourse at 'face value' is one on which the expressions 'N', '0', '1', '+', and 'x' are treated as proper names. I argue that the interpretation on which these expressions are treated as akin to free variables has an equal claim to be the default interpretation of arithmetic. I show that no purely syntactic test can distinguish proper names from free variables, and I observe that any semantic (...) test that can must beg the question. I draw the same conclusion concerning areas of mathematics beyond arithmetic. This paper is a greatly extended version of my response to Stewart Shapiro's paper in the conference 'Structuralism in physics and mathematics' held in Bristol on 2–3 December, 2006. (shrink)

Frege seems to hold two incompatible theses:(i) that sentences differing in structure can yet express the same sense; and (ii) that the senses of the meaningful parts of a complex term are determinate parts of the sense of the term. Dummett offered a solution, distinguishing analysis from decomposition. The present paper offers an embellishment of Dummett?s distinction by providing a way of depicting the internal structures of complex senses?determinate structures that yield distinct decompositions. Decomposition is then shown to be adequate (...) as a foundation for the informativity and analyticity of logic. (shrink)

The paper is a rejoinder to a challenge against the particularist version of the mental files framework posed by the relationist approach based on the notion of content coordination [such as recent attempt by Rachel Goodman and Aidan Gray in ]. Relationists argue that important explanatory goals of MFF: could be achieved without positing files as mental particulars, as there is a relationist notion of content coordination at hand that can be aptly used for “filing without files”; and should be (...) so achieved, as there are difficulties that afflict the particularist approach to MFF and the relationist account is simply better. However, both claims should be rejected. The particularist approach to MFF, properly interpreted, would not get into the troubles it is accused of generating. Indeed, it is the relationist approach that gets in trouble. Specifically, it lacks resources for explanation of nuances, which can be easily accounted for in terms of particularist interpretation, and, furthermore, it lowers the interdisciplinary standing of the whole framework. The particularist version is therefore better. (shrink)

Frege’s writings contain arguments for the thesis (i) that a thought expressed by a sentence S is a structured object whose composition pictures the composition of S, and for the thesis (ii) that a thought is an unstructured object. I will argue that Frege’s reasons for both (i) and (ii) are strong. Frege’s explanation of the difference in sense between logically equivalent sentences rests on assumption (i), while Frege’s claim that the same thought can be decomposed differently makes (ii) plausible. (...) Thoughts are supposed to do work that requires that they be structured and work that requires that they be unstructured. But this cannot be! While the standard response to this problem is to reject either (i) or (ii), I propose a charitable repair in the spirit of Frege’s theory that accepts both. The key idea can be found in Frege’s Basic Laws of Arithmetic(BL, GGA). Frege argues that the thought expressed by a sentence is determined by the truth-conditions that can be derived from the semantic axioms for the sentence constituents. The fact that the same axiomatic truth-condition can be derived in different ways from different semantic axioms suggests a Fregean solution of the dilemma: A thought is a type that is instantiated by all sequences of senses (decomposed thoughts) that have the same axiomatic truth-conditions. This allows for multiple decomposability of the same thought (for different decomposed thoughts can have the same axiomatic truth-conditions) and for a notion of containment (the decomposed thought contains those senses whose semantic axioms are needed in the derivation of the truth-conditions). My proposal combines the virtues of (i) and (ii) without inheriting their vices. (shrink)

Two important Fregean ideas appear to conflict. The first is that a thought can be decomposed in different ways, and the second is that a thought is constituted by the senses of its constituents. This paper is a defense of Dummett’s suggestion of a way to reconcile between those two theses through the claim that although the same thought can be structured in different ways by different sentences; one of the structures is privileged. My defense focuses on the charge raised (...) by Levine, XIX, 43–63, 2006) that Dummett’s claim about the privileged structure of a thought conflicts with the Slingshot argument. I show that this charge is misconceived; a careful examination of the Slingshot argument’s methodology reveals that Dummett’s claim does not conflict with it. (shrink)

RésuméĽauteur propose ?illustrer et ?expliquer le concept de comprehension en reprenant le probleme de I'asymetrie des sujets et des predicats tel que P. F. Strawson ľa posé et partiellement résolu. II s'agit de comprendre, en un sens fort, le phénomene de ľasymétrie. Un rapprochement entre philosophie logique et sémantique linguistique permet de généraliser la solution strawsonienne: ?une part, on peut traiter simultanément le cas de la predication monadique et celui des relations dyadiques; ?autre part et surtout, la cause profonde de (...) ľasymetrie ainsi généralisée semble se trouver dans une autre asymétrie que ľauteur identifie sous le nom ? asymétrie quantitative ≪. Ce résultat confirme que, tant en philosophie logique qu'en linguistique, une methode informelle est féconde, et en même temps aussi rigoureuse que la méthode formelle.SummaryBy way of illustrating and clarifying the concept of understanding in the theoretical sense in which to understand something is tantamount to being able to explain it, the author takes up the problem of the asymmetry of subjects and predicates with regard to negation in philosophical logic. How much explanation can we hope achieve in such a field? If we bring to bear on the problem of the asymmetry recent results in linguistic semantics, we get a generalization of P. F. Strawson's proposed solution: an abstract structure is shown to be common to monadic predication and dyadic relations, and the cause of the asymmetry which is characteristic of that structure is identified as a new, probably “quantitative” asymmetry between subjects and predicates. These results contribute to substantiate the case for an informal method, both in philosophical logic and in general linguistics. (shrink)