Bertrand Russell was neither the first nor the last philosopher to engage in serious theorizing about propositions. But his work between 1903, when he published The Principles of Mathematics, and 1919, when his final lectures on logical atomism were published, remains among the most important on the subject. And its importance is not merely historical. Russell’s rapidly evolving treatment of propositions during this period was driven by his engagement with – and discovery of – puzzles that either continue to shape (...) contemporary theorizing about propositions, or ought to do so. Russell’s creative responses to these puzzles also laid the foundation for many later accounts (most obviously, contemporary ‘Russellian’ accounts of propositions). In this entry we provide an opinionated overview of Russell’s influential treatment of propositions, with a focus on the evolution of his views from 1903 to 1919. A growing secondary literature is dedicated to Russell’s changing views during this period, and their often complex or opaque motivations. We do not intervene overmuch in this ongoing scholarly discussion. Instead, our aim is to trace some of the central motivations for Russell’s evolving views, and highlight the extent to which these motivations remain relevant to contemporary theorizing about propositions. (shrink)

What are intuitions? According to doxastic views, they are doxastic attitudes or dispositions, such as judgments or inclinations to make judgments. According to perceptualist views, they are—like perceptual experiences—pre-doxastic experiences that—unlike perceptual experiences—represent abstract matters as being a certain way. In this paper I argue against doxasticism and in favor of perceptualism. I describe two features that militate against doxasticist views of perception itself: perception is belief-independent and perception is presentational. Then I argue that intuitions also have both features. The (...) upshot is that intuitions are importantly similar to perceptual experiences, and so should not be identified with doxastic attitudes or dispositions. I consider a popular argument from the introspective absence of sui generis intuition experiences in favor of doxasticism. I develop a conception of intuition experiences that helps to defuse this argument. (shrink)

The aim in this paper is to focus on one of the proposals about successful perception that has led its adherents to advance some kind of disjunctive account of experience. The proposal is that we should understand the conscious sensory experience involved in successful perception in relational terms. I first try to clarify what the commitments of the view are, and where disagreements with competing views may lie. I then suggest that there are considerations relating to the conscious character of (...) our perception of events that speak in its favour. (shrink)

In this paper I articulate and defend a view that I call phenomenal dogmatism about intuitive justification. It is dogmatic because it includes the thesis: if it intuitively seems to you that p, then you thereby have some prima facie justification for believing that p. It is phenomenalist because it includes the thesis: intuitions justify us in believing their contents in virtue of their phenomenology—and in particular their presentational phenomenology. I explore the nature of presentational phenomenology as it occurs perception, (...) and I make a case for thinking that it is present in a wide variety of logical, mathematical, and philosophical intuitions. (shrink)

This book is about the idea that some true statements would have been true no matter how the world had turned out, while others could have been false. It develops and defends a version of the idea that we tell the difference between these two types of truths in part by reflecting on the meanings of words. It has often been thought that modal issues—issues about possibility and necessity—are related to issues about meaning. In this book, the author defends the (...) view that the analysis of meaning is not just a preliminary to answering modal questions in philosophy; it is not merely that before we can find out whether something is possible, we need to get clear on what we are talking about. Rather, clarity about meaning often brings with it answers to modal questions. In service of this view, the author analyzes the notion of necessity and develops ideas about linguistic meaning, applying them to several puzzles and problems in philosophy of language. Meaning and Metaphysical Necessity will be of interest to scholars and advanced students working in metaphysics, philosophy of language, and philosophical logic. [See my homepage for a sample chapter.]. (shrink)

W. V. Quine famously defended two theses that have fallen rather dramatically out of fashion. The first is that intensions are “creatures of darkness” that ultimately have no place in respectable philosophical circles, owing primarily to their lack of rigorous identity conditions. However, although he was thoroughly familiar with Carnap’s foundational studies in what would become known as possible world semantics, it likely wouldn’t yet have been apparent to Quine that he was fighting a losing battle against intensions, due in (...) large measure to developments stemming from Carnap’s studies and culminating in the work of Kripke, Hintikka, and Bayart. These developments undermined Quine’s crusade against intensions on two fronts. First, in the context of possible world semantics, intensions could after all be given rigorous identity conditions by defining them (in the simplest case) as functions from worlds to appropriate extensions, a fact exploited to powerful and influential effect in logic and linguistics by the likes of Kaplan, Montague, Lewis, and Cresswell. Second, the rise of possible world semantics fueled a strong resurgence of metaphysics in contemporary analytic philosophy that saw properties and propositions widely, fruitfully, and unabashedly adopted as ontological primitives in their own right. This resurgence — happily, in my view — continues into the present day. -/- For a time, at any rate, Quine experienced somewhat better success with his second thesis: that higher-order logic is, at worst, confused and, at best, a quirky notational alternative to standard first-order logic. However, Quine notwithstanding, a great deal of recent work in formal metaphysics transpires in a higher-order logical framework in which properties and propositions fall into an infinite hierarchy of types of (at least) every finite order. Initially, the most philosophically compelling reason for embracing such a framework since Russell first proposed his simple theory of types was simply that it provides a relatively natural explanation of the paradoxes. However, since the seminal work of Prior there has been a growing trend to consider higher-order logic to be the most philosophically natural framework for metaphysical inquiry, many of the contributors to this volume being among the most important and influential advocates of this view. Indeed, this is now quite arguably the dominant view among formal metaphysicians. -/- In this paper, and against the current tide, I will argue in §1 that there are still good reasons to think that Quine’s second battle is not yet lost and that the correct framework for logic is first-order and type-free — properties and propositions, logically speaking, are just individuals among others in a single domain of quantification — and that it arises naturally out of our most basic logical and semantical intuitions. The data I will draw upon are not new and are well-known to contemporary higher-order metaphysicians. However, I will try to defend my thesis in what I believe is a novel way by suggesting that these basic intuitions ground a reasonable distinction between “pure” logic and non-logical theory, and that Russell-style semantic paradoxes of truth and exemplification arise only when we move beyond the purely logical and, hence, do not of themselves provide any strong objection to a type-free conception of properties and propositions. -/- Most of my arguments in §1 are largely independent of any specific account of the nature of properties and propositions beyond their type-freedom. However, I will in addition argue that there are good reasons to take propositions, at least, to be very fine-grained. My arguments are thus bolstered significantly if it can be shown that there are in fact well-defined examples of logics that are not only type-free but which comport with such a conception of propositions. It is the purpose of §2 to lay out a logic of this sort in some detail, drawing especially upon work by George Bealer and related work of my own. With the logic in place, it will be possible to generalize the line of argument noted above regarding Russell-style paradoxes and, in §3, apply it to two propositional paradoxes — the Prior-Kaplan paradox and the Russell-Myhill paradox — that are often taken to threaten the sort of account developed here. (shrink)

Many currently working on a Russellian notion of perceptual acquaintance and its role in perceptual experience (including Campbell 2002a, 2002b, and 2009 and Tye 2009) treat naïve realism and indirect realism as an exhaustive disjunction of possible views. In this paper, I propose a form of direct realism according to which one is directly aware of external objects and their features without perceiving a mind-dependent intermediary and without making any inference. Nevertheless, it also maintains that the qualitative character of perceptual (...) experience is a feature of our internal states of sentient awareness and so is to be distinguished from the features of objects in the perceptual scene. On this proposal, we are pre-reflectively aware of the qualitative character of our sensations simply in virtue of having them, and we are non-inferentially aware of external objects and their features by being attuned to what the occurrence of our sensations tells us about the rest of the world. Consequently, we are presented with, and thus acquainted with, both the external objects and the qualitative character of our sensory experiences, albeit in very different ways. Drawing on resources from Perry (2001) and Searle (in draft), I explain how perceptual experience has this “two-faced presentational character”. (shrink)

Historians of philosophy commonly regard as antipodal Bertrand Russell and Edmund Husserl, the founding fathers of analytic philosophy and phenomenology. This paper, however, establishes that during a formative phase in both of their careers Russell and Husserl shared a range of seminal ideas. In particular, the essay adduces clear cases of family resemblance between Husserl’s and Russell’s philosophy during their middle period, which spanned the years 1905 through 1918. The paper thus challenges the received view of Husserl’s relation to early (...) analytic philosophy and this by pursuing two strategies of exposition. One involves comparing Husserl with Russell, and not, as has been the usual practice, with Frege. The other, which follows the first, foregrounds Husserl’s thinking vis-à-vis Russell’s from 1905 onward, a move that constitutes a break with what has become the standard approach of emphasising the relatedness of Husserl of the Logical Investigations (1900/1) to analytic philosophy. Moreover, this approach discloses two chief grounds of relatedness between the middle Husserl and the middle Russell. One is their shared interest in exploring philosophical “fundamentals”. The second consists of common elements shared by their epistemologies and philosophies of mind. (shrink)

Does epistemology collapse for lack of resources other than logic, conceptual analysis and descriptions of one’s own apparent experiences, thoughts and beliefs? No, but understanding how and why not requires, Kant noted, a ‘changed method of thinking’. Some of these methodological changes are summarised in §2 in order to identify a philosophical role for thought experiments to help identify logically contingent, though cognitively fundamental capacities and circumstances necessary to human thought, experience and knowledge. As Kant also noted, experiments are only (...) informative in response to posing the right question, indeed: the right kind of question. Accordingly, preparations for these epistemological thought experiments fill half of this chapter. The second half, examines three such thought experiments, variously developed by Kant, Hegel, C. I. Lewis, Austin, Wittgenstein and F. L. Will. (shrink)

On Zermelo's view, any mathematical theory presupposes a non-empty domain, the elements of which enjoy equal status; furthermore, mathematical axioms must be chosen from among those propositions that reflect the equal status of domain elements. As for which propositions manage to do this, Zermelo's answer is, those that are ?symmetric?, meaning ?invariant under domain permutations?. We argue that symmetry constitutes Zermelo's conceptual analysis of ?general proposition?. Further, although others are commonly associated with the extension of Klein's Erlanger Programme to logic, (...) Zermelo's name has a place in that story. (shrink)

In this article, I show and discuss the relevance of Wittgenstein's arguments as to the spatial structure of sight to recent issues in the philosophy of mind. The first, bearing upon the dimensionality of the manifolds at play in depiction, plays a critical role in Clark's attempt to provide an independent account ofqualiaand of their differentiative properties. The second, pertaining to the properly spatial structure formed by the data of sight, is explicitly appealed to in the debate on the realistic (...) character of any genuinely spatial scheme. I argue that if Wittgenstein rightly assumes that the simultaneous presence of sensible places in vision is a key condition for objectivity, he fails nevertheless to warrant the allegedly realistic character of the scheme employed in his own search for a phenomenological description of the visual field. (shrink)

One of the main challenges in the philosophy of language is determining the form of knowledge of the rules of language. Michael Dummett has put forth the view that knowledge of the rules of language is a kind of implicit knowledge; some philosophers have mistakenly conceived of this type of knowledge as a kind of knowledge-that . In a recent paper in this journal, Patricia Hanna argues against Dummett’s knowledge-that view and proposes instead a knowledge-how view in which knowledge of (...) the rules of language is a kind of practical knowledge, like an agent’s non-propositional knowledge of counting. In this paper I argue, first, that Hanna misunderstands Dummett’s conception of knowledge of linguistic rules, and, second, that Dummett’s considerations of practical knowledge of language pose a problem for Hanna’s knowledge-how view. At the end of the paper, I briefly sketch an account of practical knowledge of language that meets the requirements set by Dummett. (shrink)

Knowledge of a language is a kind of knowledge, the possession of which enables a speaker to understand and perform a variety of linguistic actions in that language. In this paper, I pursue an agency-oriented approach to knowledge of language. I begin by examining two major agency-oriented models of knowledge of language: Michael Dummett's Implicit Knowledge Model and Jennifer Hornsby's Practical Knowledge Model. I argue that each of these models is inadequate for different reasons. I present an Acquaintance Knowledge Model, (...) in which a speaker's knowledge of a language is a combination of the speaker's first-order linguistic ability and second-order acquaintance with his ability and actions. (shrink)

Here I revisit Bolzano's criticisms of Kant on the nature of logic. I argue that while Bolzano is correct in taking Kant to conceive of the traditional logic as a science of the activity of thinking rather than the content of thought, he is wrong to charge Kant with a failure to identify and examine this content itself within logic as such. This neglects Kant's own insistence that traditional logic does not exhaust logic as such, since it must be supplemented (...) by a transcendental logic that will in fact study nothing other than thought's content. Once this feature of Kant's views is brought to light, a much deeper accord emerges between the two thinkers than has hitherto been appreciated, on both the nature of the content that is at issue in logic and the sense of logic's generality and formality. (shrink)

In this article I present a summary of Bertrand Russell's protracted attempts to solve the problem of the unity of the proposition, and explain the significance of the problem for Russell's philosophy. Unlike many other accounts which take the problem to be confined to Russell's early theories of propositional content, I argue that the problem (or variants of it) is a recurring theme throughout the whole of Russell's career.

In the following article I intend to examine the problem of the unity of the proposition in Russell, Frege, and Wittgenstein. My chief aim will be to draw attention to the distinction between Russell’s conception of propositional constituents, on the one hand, with Frege and Wittgenstein’s on the other. My focus will be on Russell’s view of terms as independent, propositions being built up out of these building blocks, compared with Frege and Wittgenstein’s ‘top down’ approach. Furthermore, I will argue (...) that, contra certain other commentators, Frege’s metaphor of saturation and unsaturation does not serve as a solution to the problem of unity, and that the extension of this metaphorical language to Wittgenstein is, therefore, inappropriate. (shrink)

As a typical subject, you experience a variety of paradigmatically temporal phenomena. Looking out of the window in the English summer, you can see leaves swaying in the breeze and hear the pitter-patter of raindrops steadily increasing against the window. In discussions of temporal experience, and through reflecting on examples such as those offered, two phenomenological claims are widely – though not unequivocally – accepted: firstly, you perceptually experience motion and change; secondly, while more than a momentary state of affairs (...) is presented in your ongoing perceptual experience, that which is presented nonetheless seems to be of a quite limited temporal extent. These two claims are frequently tied to the notion of the specious present. However, there has recently been a push back against the supposed link between perceived motion and the specious present. I argue that there are two ways of understanding this link, and while one has recently been the target of criticism, the other withstands such criticism. My overarching aim is to clarify the notion of the specious present through a discussion of the notion’s origins, in addition to recent criticism directed at the notion, with the hope of reframing how contemporary debates proceed. (shrink)

Thomas Reid is notorious for rejecting the orthodox theory of conception (OTC), according to which conceiving of an object involves a mental relationship to an idea of that object. In this paper, I examine the question of what this rejection amounts to, when we limit our attention to bare conception (rather than the more widely discussed case of perception). I present some of the purported advantages of OTC, and assess whether they provide a genuine basis for preferring OTC to a (...) Reidian alternative. I argue that Reid’s approach is no worse off than OTC at explaining intentionality of our conceptions, and suggest that OTC diverges less from Reid’s view than it would at first seem. (shrink)

In this paper, I draw attention to the often-overlooked Tractarian distinction between representing and depicting, provide a clear account of it and examine how it affects our understanding of the notions of ‘being a picture’, meaningfulness, truth, and falsity in the Tractatus. I also look at the recent debate in the literature on the notion of truth and show that Glock’s claim that the official theory of the Tractatus is to be accounted in terms of obtainment only and deflationary accounts (...) such as Hacker’s derive from a failure to notice the distinction between representing and depicting or a misconception of depicting. Finally, I argue against the idea that either representing or depicting should be dispensed with. Both are necessary for Wittgenstein to account for every case of a proposition being a picture of reality. (shrink)

Renewed worries about the unity of the proposition have been taken as a crucial stumbling block for any traditional conception of propositions. These worries are often framed in terms of how entities independent of mind and language can have truth conditions: why is the proposition that Desdemona loves Cassio true if and only if she loves him? I argue that the best understanding of these worries shows that they should be solved by our theory of truth and not our theory (...) of content. Specifically, I propose a version of the redundancy theory according to which ‘it is true that Desdemona loves Cassio’ expresses the same proposition as ‘Desdemona loves Cassio’. Surprisingly, this variant of the redundancy theory treats ‘is true’ as an ordinary predicate of the language, thereby defusing many standard criticisms of the redundancy theory. (shrink)

Semantics in the Montagovian tradition combines two basic tenets. One tenet is that the semantic value of a sentence is an intension, a function from points of evaluations into truth-values. The other tenet is that the semantic value of a composite expression is the result of applying the function denoted by one component to arguments denoted by the other components. Many philosophers object to intensional semantics on the grounds that intensionally equivalent sentences do not substitute salva veritate into attitude ascriptions. (...) They propose instead that the semantic values of sentences must be structured propositions. In rejecting intensional semantics, philosophers who endorse structured propositions also usually reject functional compositionality, undermining both tenets of the Montagovian programme. I defend a semantic theory that incorporates both structured propositions and functional compositionality. I argue that this semantic theory can preserve many explanatory benefits of Montague semantics. Finally, I show how treating composition functional application can resolve core problems internal to a theory of structured propositions. (shrink)

I shall explore in this article the hypothesis that structures are relations between the components of complex entities. After having introduced hylomorphism, its major advantages and the major views of the nature of structures, I shall introduce the distinctions between external and internal relations and the one between symmetrical and non-symmetrical relations. I shall also describe the theory of non-symmetrical relations that I accept, i.e., the O-Roles theory, as most structures seem to be external and non-symmetrical relations. Later on, I (...) shall develop my hypothesis and I shall deal with one objection, i.e., that relations necessarily come together with Bradley's vicious regress. Finally, I shall also hypothesize that complex entities are different from structures and from their structured components. In this respect, I shall defend a " simple view " of complex entities. Dwelling on this view, I shall also reply to some recent objections against hylomorphism. (shrink)

Bertrand Russell developed a conception of the nature of the visual field, and of other sensory fields, as part of his project of explaining the construction of the external world. Wittgenstein's remarks on the visual field in the Tractatus are in part a response to Russell. Wittgenstein, against Russell, analyses the visual field in terms of facts rather than objects. Further, his conception of the field is, in a distinctive sense, depsychologised.

The notorious problem of the many makes it difficult to resist the conclusion that almost coincident with any ordinary object are a vast number of near-indiscernible objects. As Unger was aware in his presentation of the problem, this abundance raises a concern as to how—and even whether—we achieve singular thought about ordinary objects. This paper presents, clarifies, and defends a view which reconciles a plenitudinous conception of ordinary objects with our having singular thoughts about those objects. Indeed, this strategy has (...) independent application in the case of singular thoughts about other putatively ‘abundant’ phenomena, such as locations or lumps of matter. In essence, singular thought-vehicles need not express just one singular content. If there are many objects, one’s singular thought-vehicle may express as many thought-contents. (shrink)

By means of a reductio argument, Wittgenstein’s Tractatus calls into question the very idea that we can represent logical form. My paper addresses three interrelated questions: first, what conception of logical form is at issue in this argument? Second, whose conception of logic is this argument intended to undermine? And third, what could count as an adequate response to it? I show that the argument construes logical form as the universal, underlying correlation of any representation and the reality it represents. (...) I further show that the argument seeks to undermine core commitments of Frege’s and Russell’s. But the reductio, as I read it, is not intended to establish the falsity of any of their specific assumptions. Rather, its aim is to make manifest the indeterminacies that underlie the language in which these assumptions are framed, and establish the need for a transformation of that language. So understood, Wittgenstein’s argument exemplifies his idea that philosophy is not a theory, but an activity of elucidation. The interpretation I propose bears on one of the central debates in the literature, namely how we should understand Wittgenstein’s contention that his elucidations succeed despite being nonsensical. (shrink)

The most common account of attitude reports is the relational analysis according towhich an attitude verb taking that-clause complements expresses a two-placerelation between agents and propositions and the that-clause acts as an expressionwhose function is to provide the propositional argument. I will argue that a closerexamination of a broader range of linguistic facts raises serious problems for thisanalysis and instead favours a Russellian `multiple relations analysis' (which hasgenerally been discarded because of its apparent obvious linguistic implausibility).The resulting account can be (...) given independent philosophical motivations within anintentionalist view of truth and predication. (shrink)

Do we directly perceive physical objects? What is the significance of the qualification ‘directly’ here? Austin famously denied that there was a unique interpretation by which we could make sense of the traditional debate in the philosophy of perception. I look here at Thompson Clarke’s discussion of G. E. Moore and surface perception to answer Austin’s scepticism.

Different notions of analysis have been both theorized and put to use in early analytic philosophy. Two of them stand out: connective analysis and analysis as paraphrase. The latter played a central role in the development of analytic philosophy from Frege to Quine and beyond. With the advent of formal semantics of natural language in the 1970s, paraphrase came to be characterizable as translation into a formal “target language”. While I claim that the method cannot achieve its original philosophical aims, (...) I insist that, in spite of them, it is far from being a theoretically empty operation and that it lives on in some contemporary philosophical enterprises. (shrink)

Logic is usually thought to concern itself only with features that sentences and arguments possess in virtue of their logical structures or forms. The logical form of a sentence or argument is determined by its syntactic or semantic structure and by the placement of certain expressions called “logical constants.”[1] Thus, for example, the sentences Every boy loves some girl. and Some boy loves every girl. are thought to differ in logical form, even though they share a common syntactic and semantic (...) structure, because they differ in the placement of the logical constants “every” and “some”. By contrast, the sentences Every girl loves some boy. and Every boy loves some girl. are thought to have the same logical form, because “girl” and “boy” are not logical constants. Thus, in order to settle questions about logical form, and ultimately about which arguments are logically valid and which sentences logically true, we must distinguish the “logical constants” of a language from its nonlogical expressions. (shrink)

Let me start with a well-known story. Kant held that logic and conceptual analysis alone cannot account for our knowledge of arithmetic: “however we might turn and twist our concepts, we could never, by the mere analysis of them, and without the aid of intuition, discover what is the sum [7+5]” (KrV, B16). Frege took himself to have shown that Kant was wrong about this. According to Frege’s logicist thesis, every arithmetical concept can be defined in purely logical terms, and (...) every theorem of arithmetic can be proved using only the basic laws of logic. Hence, Kant was wrong to think that our grasp of arithmetical concepts and our knowledge of arithmetical truth depend on an extralogical source—the pure intuition of time (Frege 1884, §89, §109). Arithmetic, properly understood, is just a part of logic. (shrink)

Is linguistic understanding a form of knowledge? I clarify the question and then consider two natural forms a positive answer might take. I argue that, although some recent arguments fail to decide the issue, neither positive answer should be accepted. The aim is not yet to foreclose on the view that linguistic understanding is a form of knowledge, but to develop desiderata on a satisfactory successor to the two natural views rejected here.

The paper presents a formal explication of the early Wittgenstein's views on ontology, the syntax and semantics of an ideal logical language, and the propositional attitudes. It will be shown that Wittgenstein gave a language of thought analysis of propositional attitude ascriptions, and that his ontological views imply that such ascriptions are truth-functions of (and supervenient upon) elementary sentences. Finally, an axiomatization of a quantified doxastic modal logic corresponding to Tractarian semantics will be given.

Naïve realism (also called ‘relationalism’ or ‘object view’) is becoming increasingly popular, but the specific outline of its commitments remains often underspecified by proponents and misunderstood by critics. Naïve realism is associated with two claims, both concerning genuine, veridical perceptual experience (where this excludes hallucinations). Constitutive Claim (CC): The phenomenal character of perception is (partly) constituted by the mind-independent objects in one’s surrounding and their properties. Relational Claim (RC): Perception is a relation to mind-independent objects in the environment and their (...) properties. Some philosophers use the two claims interchangeably while talking about naïve realism, while others use only one or the other, although they do not explicitly discuss if the other claim is also a core commitment of naïve realism, or if naïve realism can be held without the other claim. This raises the question of how RC and CC relate to one another, together with the most pressing question of what each claim ultimately commits one to. After discussing the shortcomings of alternative interpretations, I argue that naïve realism should be understood as committed to, first and foremost, RC. This should be understood as a claim about the phenomenal character of perception, rather than about its nature, structure or essence (whatever that means). CC, on the other hand, should be understood as a corollary of RC. This doesn’t only offer a better characterisation of how naïve realists understand phenomenal character: it also helps us understand how we can simultaneously claim that the object of perception is a constitutive element of perception, while also allowing for it to play a causal role in determining perception. (shrink)

This paper presents structural similarities and historical connections between Prior’s rejection of the Barcan formula and his critique of Berkeley’s master argument for idealism in his 1955 paper “Berkeley in Logical Form”. Making use of Mackie’s paper “Self-Refutation—A Formal Analysis”, it concludes with some suggestions concerning what is at stake in the debate between Prior and Berkeley and in structurally similar debates such as whether to accept the Barcan formula.

How we talk about relations has a great influence on how we think about relations. By saying that Spain defeated the Netherlands we obviously say something entirely different from saying that the Netherlands defeated Spain. This makes many of us think that in the underlying relation itself one of the relata comes first and the other comes second. However, there are good reasons to view the order as a representational artifact. In this paper I present a new logic that allows (...) us to think and talk about relations in a coordinate-free manner. The logic is minimalistic in the sense that it has no predicates except equality, but its expressive power is the same as that of first-order predicate logic. (shrink)

A theory of relations is presented that provides a detailed account of the logical structure of relational complexes. The theory draws a sharp distinction between relational complexes and relational states. A salient difference is that relational complexes belong to exactly one relation, whereas relational states may be shared by different relations. Relational complexes are conceived as structured perspectives on states ‘out there’ in reality. It is argued that only relational complexes have occurrences of objects, and that different complexes of the (...) same relation may correspond to the same state. (shrink)

We study the logical structure of relations, and in particular the notion of occurrences of objects in a state. We start with formulating a number of principles for occurrences and defining corresponding mathematical models. These models are analyzed to get more insight in the formal properties of occurrences. In particular, we prove uniqueness results that tell us more about the possible logical structures relations might have.

This paper concerns Bertrand Russell’s changing views on negative judgement. ‘Negative judgement’ is considered in the context of three theories of judgement that Russell put forth at different times: a dual relation theory ; a multiple relation theory ; a psychological theory of judgement. Four issues are singled out for a more detailed discussion: quality dualism versus quality monism, that is, the question whether judgement comes in two kinds, acceptance and rejection, or whether there is only one judgement-quality ; the (...) structure of negative judging; the problem of truth-making for negative facts; the different roles of ‘fact’ in Russell’s theories of truth. What emerges from the discussion is a rough chronology of Russell’s views on negative judgement during the period from 1903 to 1948. (shrink)

It is argued that the finitist interpretation of wittgenstein fails to take seriously his claim that philosophy is a descriptive activity. Wittgenstein's concentration on relatively simple mathematical examples is not to be explained in terms of finitism, But rather in terms of the fact that with them the central philosophical task of a clear 'ubersicht' of its subject matter is more tractable than with more complex mathematics. Other aspects of wittgenstein's philosophy of mathematics are touched on: his view that mathematical (...) propositions are 'grammatical propositions' (and so, Strictly speaking, Not genuine propositions at all) and his view that in mathematics 'everything is algorithm, Nothing meaning'. His views on consistency and his anti-Foundationalism are linked with this central thesis. (shrink)

It has been much debated whether Tractarian objects are what Russell would have called particulars or whether they include also properties and relations. This paper claims that the debate is misguided: there is no logical category such that Wittgenstein intended the reader of the Tractatus to understand his objects either as providing examples of or as not providing examples of that category. This is not to say that Wittgenstein set himself against the very idea of a logical category: quite the (...) contrary. However, where Russell presents his logical variety of particulars and the various types of universal, and Frege presents his of objects and the various types of function, Wittgenstein denies the propriety of such a priori expositions. Wittgenstein envisages a variety of logical types of entity but insists that the nature of these types is something to be discovered only through analysis. (shrink)

Philosophers frequently comment on the intimate connection there is between something’s being present in perceptual experience and that thing’s being, or at least appearing to be, temporally present. Yet, there is relatively little existing work that goes beyond asserting such a connection and instead examines its specific nature. In this paper, I suggest that we can make progress on the latter by looking at two more specific debates that have hitherto been conducted largely isolation from each other: one about the (...) nature of conscious experience and one about the nature of time itself. The first concerns the extent to which the temporal properties of experience form an exception to the transparency of experience, meaning that introspection can provide support for one particular view of how experience itself is structured temporally; the second concerns the question as to whether there is something about experience that gives us grounds for thinking that the present is somehow metaphysically special. As I argue, the idea of a connection between experiential presence and temporal presence plays a key background role in each of these debates. Yet it can also, in each of them, be seen to draw one side towards making claims that are supposed to express an important truth but are at the same time, on the face of it, self-contradictory. In each case, resolving what it actually is that these claims are trying to get at turns on recognizing a distinctive feature of perceptual experience, which I refer to as its lack of temporal viewpointedness. Recognising this feature also helps in making sense of what the issues at stake actually are in the intuition of an intimate connection between experiential presence and temporal presence. (shrink)

If Sophroniscus is the father of Socrates, then Socrates is the son of Sophroniscus. If Socrates is similar to Plato, then Plato is similar to Socrates. But how many relations does Sophroniscus and Socrates being so related involve? How many does Plato and Socrates being thus related? Is there a difference between the two cases? These are questions that have featured prominently in discussions of relations in recent years, but they are by no means new. Focusing on a text by (...) the later Archbishop of Canterbury, Robert Kilwardby, this paper explores some of the replies and main arguments advanced by a number of philosophers working in the Latin west in the mid-to-late thirteenth century. (shrink)

The paper describes the evolution of russell's theory of judgment between 1910 and 1913, With especial reference to his recently published "theory of knowledge" (1913). Russell abandoned the book and with it the theory of judgment as a result of wittgenstein's criticisms. These criticisms are examined in detail and found to constitute a refutation of russell's theory. Underlying differences between wittgenstein's and russell's views on logic are broached more sketchily.

It is widely assumed that Russell's problems with the unity of the proposition were recurring and insoluble within the framework of the logical theory of his Principles of Mathematics. By contrast, Frege's functional analysis of thoughts (grounded in a type-theoretic distinction between concepts and objects) is commonly assumed to provide a solution to the problem or, at least, a means of avoiding the difficulty altogether. The Fregean solution is unavailable to Russell because of his commitment to the thesis that there (...) is only one ultimate ontological category. This, combined with Russell's reification of propositions, ensures that he must hold concepts and objects to be of the same logical and ontological type. In this paper I argue that, while Frege's treatment of the unity of the proposition has immediate advantages over Russell's, a deeper consideration of the philosophical underpinnings and metaphysical consequences of the two approaches reveals that Frege's supposed solution is, in fact, far from satisfactory. Russell's repudiation of the Fregean position in the Principles is, I contend, convincing and Russell's own position, despite its problems, conforms to a greater extent than Frege's with common sense and, furthermore, with certain ideas which are central to our understanding of the origins of the analytical tradition. (shrink)

This paper addresses a number of closely related questions concerning Kant's model of intentionality, and his conceptions of unity and of magnitude [Gröβe]. These questions are important because they shed light on three issues which are central to the Critical system, and which connect directly to the recent analytic literature on perception: the issues are conceptualism, the status of the imagination, and perceptual atomism. In Section 1, I provide a sketch of the exegetical and philosophical problems raised by Kant's views (...) on these issues. I then develop, in Section 2, a detailed analysis of Kant's theory of perception as elaborated in both the Critique of Pure Reason and the Critique of Judgment; I show how this analysis provides a preliminary framework for resolving the difficulties raised in Section 1. In Section 3, I extend my analysis of Kant's position by considering a specific test case: the Axioms of Intuition. I contend that one way to make sense of Kant's argument is by juxtaposing it with Russell's response to Bradley's regress; I focus in particular on the concept of ‘unity’. Finally, I offer, in Section 4, a philosophical assessment of the position attributed to Kant in Sections 2 and 3. I argue that, while Kant's account has significant strengths, a number of key areas remain underdeveloped; I suggest that the phenomenological tradition may be read as attempting to fill precisely those gaps. (shrink)