Did Leibniz exploit infinitesimals and infinities à la rigueur or only as shorthand for quantified propositions that refer to ordinary Archimedean magnitudes? Hidé Ishiguro defends the latter position, which she reformulates in terms of Russellian logical fictions. Ishiguro does not explain how to reconcile this interpretation with Leibniz’s repeated assertions that infinitesimals violate the Archimedean property (i.e., Euclid’s Elements, V.4). We present textual evidence from Leibniz, as well as historical evidence from the early decades of the calculus, to undermine Ishiguro’s (...) interpretation. Leibniz frequently writes that his infinitesimals are useful fictions, and we agree, but we show that it is best not to understand them as logical fictions; instead, they are better understood as pure fictions. (shrink)

We apply Benacerraf’s distinction between mathematical ontology and mathematical practice to examine contrasting interpretations of infinitesimal mathematics of the seventeenth and eighteenth century, in the work of Bos, Ferraro, Laugwitz, and others. We detect Weierstrass’s ghost behind some of the received historiography on Euler’s infinitesimal mathematics, as when Ferraro proposes to understand Euler in terms of a Weierstrassian notion of limit and Fraser declares classical analysis to be a “primary point of reference for understanding the eighteenth-century theories.” Meanwhile, scholars like (...) Bos and Laugwitz seek to explore Eulerian methodology, practice, and procedures in a way more faithful to Euler’s own. Euler’s use of infinite integers and the associated infinite products are analyzed in the context of his infinite product decomposition for the sine function. Euler’s principle of cancellation is compared to the Leibnizian transcendental law of homogeneity. The Leibnizian law of continuity similarly finds echoes in Euler. We argue that Ferraro’s assumption that Euler worked with a classical notion of quantity is symptomatic of a post-Weierstrassian placement of Euler in the Archimedean track for the development of analysis, as well as a blurring of the distinction between the dual tracks noted by Bos. Interpreting Euler in an Archimedean conceptual framework obscures important aspects of Euler’s work. Such a framework is profitably replaced by a syntactically more versatile modern infinitesimal framework that provides better proxies for his inferential moves. (shrink)

As against the view represented here by Peter Hacker and John Canfield, I urge that the philosophies of Quine and Wittgenstein can be reconciled. Both replace the orthodox view of language as resting on reference: Quine with the notion of linguistic disposition, Wittgenstein with the notions of grammar and forms of life. I argue that Wittgenstein's insistence, in the rule-following discussion, that at bottom these are matters of practice, of ‘what we do’, is not only compatible in a rough sort (...) of way with Quine's outlook, but is very close to Quine's naturalistic view of language. And I argue that the likely objections to this can on the one hand be explained away as Quine's having been interested in a very narrow slice of language in comparison with Wittgenstein, and on the other by a failure to take into account later developments in Quine’s views. (shrink)

To explore the extent of embeddability of Leibnizian infinitesimal calculus in first-order logic (FOL) and modern frameworks, we propose to set aside ontological issues and focus on pro- cedural questions. This would enable an account of Leibnizian procedures in a framework limited to FOL with a small number of additional ingredients such as the relation of infinite proximity. If, as we argue here, first order logic is indeed suitable for developing modern proxies for the inferential moves found in Leibnizian infinitesimal (...) calculus, then modern infinitesimal frameworks are more appropriate to interpreting Leibnizian infinitesimal calculus than modern Weierstrassian ones. (shrink)

In this paper we discuss some questions proposed by Prof. Newton da Costa on the foundations of quasi-set theory. His main doubts concern the possibility of a reasonable semantical understanding of the theory, mainly due to the fact that identity and difference do not apply to some entities of the theory’s intended domain of discourse. According to him, the quantifiers employed in the theory, when understood in the usual way, rely on the assumption that identity applies to all entities in (...) the domain of discourse. Inspired by his provocation, we suggest that, using some ideas presented by da Costa himself in his seminars at UFSC and by one of us in some papers, these difficulties can be overcome both on a formal level and on an informal level, showing how quantification over items for which identity does not make sense can be understood without presupposing a semantics based on a ‘classical’ set theory. (shrink)

The paper presents an alternative substitutional semantics for first-order modal logic which, in contrast to traditional substitutional (or truth-value) semantics, allows for a fine-grained explanation of the semantical behavior of the terms from which atomic formulae are composed. In contrast to denotational semantics, which is inherently reference-guided, this semantics supports a non-referential conception of modal truth and does not give rise to the problems which pertain to the philosophical interpretation of objectual domains (concerning, e.g., possibilia or trans-world identity). The paper (...) also proposes the notion of modality de nomine as an alternative to the denotational notion of modality de re. (shrink)

Puzzles about persistence and change through time, i.e., about identity across time, have foundered on confusion about what it is for ‘two things’ to be have ‘the same thing’ at a time. This is most directly seen in the dispute over whether material objects can occupy exactly the same place at the same time. This paper defends the possibility of such coincidence against several arguments to the contrary. Distinguishing a temporally relative from an absolute sense of ‘the same’, we see (...) that the intuition, ‘this is only one thing’, and the dictum, ‘two things cannot occupy the same place at the same time’, are individuating things at a time rather than absolutely and are therefore compatible with coincidence. Several other objections philosophers have raised ride on this same ambiguity. Burke, originating what has become the most popular objection to coincidence, argues that if coincidence is possible there would be no explanation of how objects that are qualitatively the same at a time could belong to different sorts. But we can explain an object’s sort by appealing to its properties at other times. Burke’s argument to the contrary equivocates on different notions of ‘cross-time identity’ and ‘the statue’. From a largely negative series of arguments emerges a positive picture of what it means to say multiple things coincide and of why an object’s historical properties explain its sort rather than vice versa – in short, of how coincidence is possible. (shrink)

Quine and Davidson employ proxy functions to demonstrate that the use of language (behaviouristically conceived) is compatible with indefinitely many radically different reference relations. They also believe that the use of language (behaviouristically conceived) is all that determines reference. From this they infer that reference is indeterminate, i.e. that there are no facts of the matter as to what singular terms designate and what predicates apply to. Yet referential indeterminacy yields rather dire consequences. One thus does wonder whether one can (...) hold on to a Quine--Davidson stance in semantics-cum-metaphysics and still avoid embracing referential indeterminacy. I argue that one can. Anyone adhering to the behaviouristic account pivotal to the Quine--Davidson stance is bound to acknowledge certain facts about verbal behaviour -- that some utterances are tied to situations, that some utterances are tied to segments in situations, that some predicates have non-contextualised conditions of application, and that use involves causal dependencies. The restrictions from these facts ensure that only reference relations generated by means of rather exceptional proxy functions are compatible with verbal behaviour. I conclude that this allows one to rebuff the Quine--Davidson argument for the indeterminacy of reference, as it were, from within. I moreover tentatively conclude that the line of thought laid out provides good reason for just about anyone to hold that there are facts about reference after all. (shrink)

This is a collection of my essays in the philosophy of science which have been translated into Spanish.

Vít Gvoždiak published a reconciliatory analysis of Searle’s social ontology with semiotics in Gvoždiak (2012). Without prior knowledge of his paper, an analysis of the same subject appeared in Msimang (2014). Even though Searle’s social ontology is a common point of reference in the formulation of semiotics in these papers, it also serves as a point of departure in their understanding of semiotics and its development. The semiotic theory expressed in Gvoždiak (2012) is an inherently linguistic (speech act centred) theory, (...) whereas the semiotic theory presented in Msimang (2014) tends more towards a general theory of communicative systems in which social ontology, which follows from speech act theory, is an interesting part. It is my purpose in this note to contrast the two positions of semiotic theory as they appear in the aforementioned papers in reference to their appropriation of Searle’s social ontology. (shrink)

The article sets out a primitive ontology of the natural world in terms of primitive stuff—that is, stuff that has as such no physical properties at all—but that is not a bare substratum either, being individuated by metrical relations. We focus on quantum physics and employ identity-based Bohmian mechanics to illustrate this view, but point out that it applies all over physics. Properties then enter into the picture exclusively through the role that they play for the dynamics of the primitive (...) stuff. We show that such properties can be local, as well as holistic, and discuss two metaphysical options to conceive them, namely, Humeanism and modal realism in the guise of dispositionalism. 1 Introduction2 Primitive Ontology: Primitive Stuff3 The Physics of Matter as Primitive Stuff4 The Humean Best System Analysis of the Dynamical Variables5 Modal Realism about the Dynamical Variables6 Conclusion. (shrink)

Coreferentialism refers to the common assumption in the literature that slurs and descriptors are coreferential expressions with precisely the same extension. For instance, Vallee recently writes that “If S is an ethnic slur in language L, then there is a non-derogatory expression G in L such that G and S have the same extension”. The non-derogatory expression G is commonly considered the nonpejorative correlate of the slur expression S and it is widely thought that every S has a coreferring G (...) that possesses precisely the same extension. Yet here I argue against this widespread assumption by first briefly introducing what slurs are and then considering four sources of supporting evidence showing that slurs and descriptors are in fact not coreferential expressions with precisely the same extension. I argue that since slurs and descriptors differ in their extension they thereby differ in their meaning or content also. This article additionally introduces the notion of a conceptual anchor in order to adequately account for the relationship between slurs and descriptors actually evidenced in the empirical data, and further considers the inadequacy of common dictionary definitions of slurs. This article therefore contributes to the literature on slurs by demonstrating that previous accounts operating on the assumption that slurs and descriptors are coreferential expressions with the same extension, and that they thereby have the same meaning or content, are inconsistent with empirical data and that an alternative account in accord with Croom better fits the facts concerning their actual meaning and use. (shrink)

Othering is the construction and identification of the self or in-group and the other or out-group in mutual, unequal opposition by attributing relative inferiority and/or radical alienness to the other/out-group. The notion of othering spread from feminist theory and post-colonial studies to other areas of the humanities and social sciences, but is originally rooted in Hegel’s dialectic of identification and distantiation in the encounter of the self with some other in his “Master-Slave dialectic”. In this paper, after reviewing the philosophical (...) and psychological background of othering, I distinguish two kinds of othering, “crude” and “sophisticated”, that differ in the logical form of their underlying arguments. The essential difference is that the former is merely self-other distantiating, while the latter – as in Hegel’s dialectic – partially depends on self-other identification. While crude othering is closer to the paradigmatic notion of othering, sophisticated othering is closer to Hegel’s, but so is quasi-othering, which is nearly identical in form to sophisticated othering, but which misses the defining feature of othering – attributing relative inferiority and/or radical alienness. Because Hegel’s dialectic applies to any encounter of an interpreting self with some other, sophisticated or quasi-othering is at least potentially a very common occurrence in the interpretation of others, especially of those who do not belong to the in-group. However, although othering is usually undesirable, the Hegelian varieties can provide a “mirror”, which can be used as a tool to improve understanding of both the other and the interpreting self, and the malignant aspects of othering can be avoided through charity. (shrink)

In this study I argue that Richard Rorty’s anti-representationalist philosophy arises from a misguided belief that realists are compelled to argue that we need a single and exclusive “mirror-like” form of representation to capture reality. I argue that Rorty fails to appreciate the fact that realists do not have to absolutely identify reality with a particular mirror-like representation of it and nor do they have to fall prey to an invidious distinction between reality and the various ways that we do (...) represent it. I argue that we need not associate realism with the kind of absolutism that Rorty associates it with. To illustrate this I challenge Rorty’s attempt to claim that Nietzsche also rejects realism and interpret Nietzsche’s perspectivism as a form of realism. I also challenge Rorty’s anti-representationalism in the context of his political philosophy. In order to do this I assess the role that Rorty assigns to the poet in his liberal utopia by examining the work of Sylvia Plath and Tony Harrison. I also discuss the various positions that Hilary Putnam has adopted in order to explore different possibilities within realism and representationalism. I conclude that Putnam’s internal realism concedes too much to Rorty and that his earlier external realism is a better alternative. (shrink)

The chapter distinguishes between a weak and a strong form of ontological naturalism. Strong ontological naturalism is the view that all truths can be deduced, at least in principle, from truths about physical entities at the lowest level of organization, for example, truths about the elementary particles and forces. Weak ontological naturalism is the view that only physical properties can be causally efficacious. Strong ontological naturalism entails weak ontological naturalism but not vice versa. I then argue that the existence of (...) a truth property is consistent with weak ontological naturalism, as truth is not causally efficacious. After considering several prominent theories of truth, I argue that the only theories of truth that are consistent with strong ontological naturalism are deflationary doctrines that deny that there is a substantial truth property but these theories are not suitable adjoints to strong naturalism, as folks with strong naturalist inclinations normally want to posit the existence of substantial natural properties. Yet if the truth property itself is insubstantial, so are claims about the existence of substantial natural properties. I conclude by arguing that the result that there cannot be a naturalistic theory of truth is unsurprising, as there are independent reasons for thinking that the basic semantic notions must be treated an irreducible, primitive properties. (shrink)

Since Kaplan : 81–98, 1979) first provided a logic for context-sensitive expressions, it has been thought that the only way to construct a logic for indexicals is to restrict it to arguments which take place in a single context— that is, instantaneous arguments, uttered by a single speaker, in a single place, etc. In this paper, I propose a logic which does away with these restrictions, and thus places arguments where they belong, in real world conversations. The central innovation is (...) that validity depends not just on the sentences in the argument, but also on certain abstract relations between contexts. This enrichment of the notion of logical form leads to some seemingly counter-intuitive results: a sequence of sentences may make up a valid argument in one sequence of contexts, and an invalid one in another such sequence. I argue that this is an unavoidable result of context sensitivity in general, and of the nature of indexicals in particular, and that reflection on such examples will lead us to a better understanding of the idea of applying logic to context sensitive expressions, and thus to natural language in general. (shrink)

Othering is the construction and identification of the self or in-group and the other or out-group in mutual, unequal opposition by attributing relative inferiority and/or radical alienness to the other/out-group. Othering can be “crude” or “sophisticated”, the defining difference being that in the latter case othering depends on the interpretation of the other/out-group in terms that are applicable only to the self/in-group but that are unconsciously assumed to be universal. The Mass Noun Thesis, the idea that all nouns in certain (...) languages are grammatically and folk-ontologically similar to mass nouns in English, is an example of such sophisticated othering. According to this Thesis, (a) count nouns refer to discrete objects and mass nouns to stuffs; (b) the other’s language has only mass nouns and thus no count nouns; and therefore, (c) the other’s folk-ontology is an ontology of mass stuffs only. There is much evidence, however, that folk-ontology is independent from language. This paper argues that the Mass Noun Thesis is a case of sophisticated othering rooted in a conflation of grammatical and ontological conceptions of mass and count nouns that is applicable to the language of the interpreter/self but not to the languages of the relevant others, and that othering in this case is driven by a need to create some radically alien other to support a scientific or philosophical theory. (shrink)

Languages involving modalities and languages involving vagueness have each been thoroughly studied. On the other hand, virtually nothing has been said about the interaction of modality and vagueness. This paper aims to start filling that gap. Section 1 is a discussion of various possible sources of vague modality. Section 2 puts forward a model theory for a quantified language with operators for modality and vagueness. The model theory is followed by a discussion of the resulting logic. In Section 3, the (...) framework will permit us to address a puzzle raised by Elizabeth Barnes and Robert Williams. (shrink)

The 2006 decision by the International Astronomical Union to strip Pluto of its status as a planet generated considerable uproar not only in scientific circles, but among the lay public as well. After all, how can a vote by 424 scientists in a conference room in Prague undermine what every well-educated second grader knows is a scientific fact? The Pluto controversy provides a new and fertile ground in which to revisit the traditional philosophical problems of natural kinds and scientific change. (...) Before engaging these philosophical problems, however, there are two misguided reactions to the Pluto controversy worth dispelling from the start. The first misguided reaction is that this sort of classificatory .. (shrink)

The starting point of this paper is the idea that linguistic representation is the result of a global process: a process of interaction of a community of cognitive-linguistic agents, with one another and with the environment. I maintain that the study of truth, meaning and related notions should be addressed without losing perspective of this process, and I oppose the ‘static’ or ‘analytic’ approach, which is fundamentally based on our own knowledge of the conventional meaning of words and sentences, and (...) the ability of using them that we have as competent speakers. I argue that the analytic perspective is responsible for five recurring difficulties in truthmaker theory: (1) the lack of attention to the difference of explanatory role between the distinct notions proposed as primary truthbearer; (2) the adscription of purely extra-linguistic truthmakers to ‘synthetic truths’, ignoring the contribution of the linguistic factor; (3) the adscription of purely linguistic truthmakers to ‘logical’ and ‘analytic truths’, ignoring the contribution of the worldly factor; (4) the difficulties in the search for minimal truthmakers; (5) the problems in the treatment of ‘negative facts’ and of other ‘logically complex facts’. I do not provide an account of how to solve these difficulties, but I do show how the ‘process model’ helps to clear up confusion regarding them. (shrink)

The Bounds of Logic presents a new philosophical theory of the scope and nature of logic based on critical analysis of the principles underlying modern Tarskian logic and inspired by mathematical and linguistic development. Extracting central philosophical ideas from Tarski’s early work in semantics, Sher questions whether these are fully realized by the standard first-order system. The answer lays the foundation for a new, broader conception of logic. By generally characterizing logical terms, Sher establishes a fundamental result in semantics. Her (...) development of the notion of logicality for quantifiers and her work on branching are of great importance for linguistics. Sher outlines the boundaries of the new logic and points out some of the philosophical ramifications of the new view of logic for such issues as the logicist thesis, ontological commitment, the role of mathematics in logic, and the metaphysical underpinning of logic. She proposes a constructive definition of logical terms, reexamines and extends the notion of branching quantification, and discusses various linguistic issues and applications. (shrink)

Semantic interpretations of both natural and formal languages are usually taken to involve the specification of a domain of entities with respect to which the sentences of the language are to be evaluated. A question that has received much attention of late is whether there is unrestricted quantification, quantification over a domain comprising absolutely everything there is. Is there a discourse or inquiry that has absolute generality? After framing the debate, this article provides an overview of the main arguments for (...) and against the possibility of unrestricted quantification, highlighting some of the broader implications of the debate. (shrink)

G. E. Moore famously argued against skepticism and idealism by appealing to their inconsistency with alleged certainties, like the existence of his own hands. Recently, some philosophers have offered analogous arguments against revisionary views about ethics such as metaethical error theory. These arguments appeal to the inconsistency of error theory with seemingly obvious moral claims like “it is wrong to torture an innocent child just for fun.” It might seem that such ‘Moorean’ arguments in ethics will stand or fall with (...) Moore’s own arguments in metaphysics and epistemology, in virtue of their shared structure. I argue that this is not so. I suggest that the epistemic force of the canonical Moorean arguments can best be understood to rest on asymmetries in indirect evidence. I then argue that this explanation suggests that Moorean arguments are less promising in ethics than they are against Moore’s own targets. I conclude by examining the competing attempt to vindicate Moorean arguments by appealing to Rawls’s method of reflective equilibrium. (shrink)

How should we understand the relationship between the contents of our color, causal, modal, and evaluative beliefs, on the one hand, and color, causal, modal, and evaluative properties, on the other? According to Barry Stroud (2011), because of the nature of the contents of those types of beliefs, we should also think that what he calls a “negative metaphysical verdict” on the latter is not one that we could consistently maintain. The metaphysical project aims to arrive at an improved conception (...) of ourselves and our relation the world, no matter if that conception is positive or negative. But if Stroud is right that we cannot consistently arrive at the view that all of our causal, modal, and evaluative beliefs are systematically false, we will see that we cannot consistently reach the negative verdict. But failure to reach the negative verdict doesn’t mean that we have reached the positive verdict. Stroud calls this philosophical failure “metaphysical dissatisfaction”. In this paper, I argue that we can appropriate a metaepistemological response to the problem of the external world which shares its core features with Stroud’s (2000, 2011) arguments, but which nevertheless leaves us with a distinctive kind of epistemological dissatisfaction. (shrink)

This paper offers a new interpretation for Wittgenstein`s treatment of mathematical identities. As it is widely known, Wittgenstein`s mature philosophy of mathematics includes a general rejection of abstract objects. On the other hand, the traditional interpretation of mathematical identities involves precisely the idea of a single abstract object – usually a number –named by both sides of an equation.

The primary justification for mathematical structuralism is its capacity to explain two observations about mathematical objects, typically natural numbers. Non-eliminative structuralism attributes these features to the particular ontology of mathematics. I argue that attributing the features to an ontology of structural objects conflicts with claims often made by structuralists to the effect that their structuralist theses are versions of Quine’s ontological relativity or Putnam’s internal realism. I describe and argue for an alternative explanation for these features which instead explains the (...) attributes them to the mathematical practice of representing numbers using more concrete tokens, such as sets, strokes and so on. (shrink)

If Mont Blanc is a vague object, then its vagueness will depend on the context in which reference is made. In a geological context the mountain might include only rock, perhaps together with a certain amount of air in the crevices and tunnels which have been formed beneath its surface. In a context of soil chemistry we might include also a surrounding thin layer of organic matter. In a skiing context we might include some snow. This essay sketches in informal (...) terms the theory of granular partitions, which is designed to do justice to this context-dependence of vagueness by means of what might be described as a contextualized supervaluationism. Granularity and vagueness, it is argued, are two sides of a single coin: what is vague at one level of granularity may appear crisp at another. The resultant theory can be shown to resolve certain problems in our description of perceptual content, for example when John says that he sees the wall, but that he does not see the molecules by which the wall is constituted. (shrink)

The purpose of this thesis is to demonstrate that metaphysics is a necessary discipline -- necessary in the sense that all areas of philosophy, all areas of science, and in fact any type of rational activity at all would be impossible without a metaphysical background or metaphysical presuppositions. Because of the extremely strong nature of this claim, it is not possible to put forward a very simple argument, although I will attempt to construct one. A crucial issue here is what (...) metaphysics in fact is -- the nature of metaphysics. The conception of metaphysics which I support could be called Aristotelian, as opposed to Kantian: metaphysics is the first philosophy and the basis of all other philosophical and scientific inquiry. I will argue that this is indeed the most plausible conception of metaphysics. (shrink)

In “Demonstratives”, David Kaplan introduced a simple and remarkably robust semantics for indexicals. Unfortunately, Kaplan’s semantics is open to a number of apparent counterexamples, many of which involve recording devices. The classic case is the sentence “I am not here now” as recorded and played back on an answering machine. In this essay, I argue that the best way to accommodate these data is to conceive of recording technologies as introducing special, non-basic sorts of contexts, accompanied by non-basic conventions governing (...) the use of indexicals in those contexts. The idea is that recording devices allow us to use indexicals in new and innovative ways to coordinate on objects. And, given sufficient regularity in the use of indexicals on such devices, linguistic conventions will, over time, come to reflect this innovation. I consider several alternatives to this ‘character-shifting’ theory, but none is able to account for the data as well as the present proposal. Many face additional theoretical difficulties as well. I conclude by explaining how the character-shifting theory not only retains many of the virtues of Kaplan’s original semantics, but also coheres with a plausible view on the nature of semantic theorizing more generally. (shrink)

Recently, in the debate about the ontology of quantum mechanics some authors have defended the view that quantum particles are individuals in a primitive sense, so that individuality should be preferred over non-individuality (the alternative option). Primitive individuality involves two main claims: (1) every item is identical with itself and (2) it is distinct from every other item. Non-relativistic quantum mechanics is said to provide positive evidence for that position, since in every situation comprising multiple particles there is a well-defined (...) number of them to begin with, and so they must be distinct from each other. We argue that the link between a well-defined number of items and the relation of identity that is being claimed to hold is not imposed by quantum mechanics, but rather by a metaphysical view. Formal evidence is advanced in favor of the thesis that counting may be performed for items without identity (non-individuals), so that quantum mechanics needs not be viewed as endorsing an ontology of individuals. (shrink)

This dissertation is on infinite regress arguments in philosophy. Its main goals are to explain what such arguments from many distinct philosophical debates have in common, and to provide guidelines for using and evaluating them. Two theories are reviewed: the Paradox Theory and the Failure Theory. According to the Paradox Theory, infinite regress arguments can be used to refute an existentially or universally quantified statement (e.g. to refute the statement that at least one discussion is settled, or the statement that (...) discussions are settled only if there is an agreed-upon criterion to settle them). According to the Failure Theory, infinite regress arguments can be used to demonstrate that a certain solution fails to solve an existentially or universally quantified problem (e.g. to demonstrate that a certain solution fails to settle all discussions, or that it fails to settle even one discussion). In the literature, the Paradox Theory is fairly well-developed, and this dissertation provides the Failure Theory with the same tools. (shrink)

In this paper I defend the “Standard View” of the semantics of ‘I’—according to which ‘I’ is a pure, automatic indexical—from a challenge posed by “deferred reference” cases, in which occurrences of ‘I’ are (allegedly) not speaker-referential, and thus non-automatic. In reply, I offer an alternative account of the cases in question, which I call the “Description Analysis” (DA). According to DA, seemingly deferred-referential occurrences of the first person pronoun are interpreted as constituents of a definite description, whose operator scopes (...) over an open sentence Rxy—where R is a contextually selected relation ranging over pairs of people and objects. The role of intentions is thus limited to the determination of R, which is posterior to the fixation of the reference of ‘I’. In support of the DA I present evidence that, in the cases in question, the (Determiner) phrase containing ‘I’ behaves in relevant ways like a description. I show that the DA can account for the problematic examples, while preserving the simplicity of the standard semantics of ‘I’. Finally, I examine a rival account of the data, offered by Nunberg (Linguist Philos 16:1–43, 1993), and argue for the superiority of the DA. (shrink)

This paper defends a deflationary conception of properties, according to which a property exists if and only if there could be a predicate with appropriate satisfaction conditions. I argue that purely general properties and relations necessarily exist and discuss the bearing of this conception of properties on the interpretation of higher-order logic and on Quine's charge that higher-order logic is ‘set theory in sheep's clothing’. On my approach, the usual semantics involves a false assimilation of the logic to set theory. (...) I conclude with remarks about implications for the programme of founding mathematical theories in higher-order logic plus abstraction principles. (shrink)

This book explores the interplay between logic and science, describing new trends, new issues and potential research developments.

Phenomenology is based on a doctrine of evidence that accords a crucial role to the human capacity to conceptualise or ‘intuit’ features of their experience. However, there are grounds for holding that some experiential entities to which phenomenologists are committed must be intuition-transcendent or ‘dark’. Examples of dark phenomenology include the very fine-grained perceptual discriminations which Thomas Metzinger calls ‘Raffman Qualia’ and, crucially, the structure of temporal awareness. It can be argued, on this basis, that phenomenology is in much the (...) same epistemological relationship to its own subject matter as descriptive (i.e. ‘phenomenological’) physics or biology are to physical and biological reality: phenomenology cannot tell us what phenomenology is really ‘about’. This does not mean we should abjure phenomenology. It implies, rather, that the domain of phenomenology is not the province of a self-standing, autonomous discipline but must be investigated with any empirically fruitful techniques that are open to us (e.g. computational neuroscience, artificial intelligence, etc.). Finally, it entails that while a naturalized phenomenology should be retained as a descriptive, empirical method, it should not be accorded transcendental authority. (shrink)

Despite significant advances in various special areas in the study of language, the question of what the basic nature of the theory of a language is remains controversial and unclear. In this paper we propose to rectify this situation and argue for a general perspective — one which only a few theorists have explicitly endorsed — by showing that it is at once theoretically illuminating and empirically plausible. This perspective consists of the following claims: that the most basic theory of (...) a language is a theory of communication viz., of understanding and production; that a theory of communication in this sense presupposes a theory of thought; that a grammar is most fruitfully thought of as a component of a theory of communication; and that so-called theories of meaning form a rather heterogeneous group, some of which being fragments of grammars, others being theories of thought, and still others being what are sometimes referred to as theories of reference. We shall be particularly concerned with and here. (shrink)

Modality and Anti-Metaphysics critically examines the most prominent approaches to modality among analytic philosophers in the twentieth century, including essentialism. Defending both the project of metaphysics and the essentialist position that metaphysical modality is conceptually and ontologically primitive, Stephen McLeod argues that the logical positivists did not succeed in banishing metaphysical modality from their own theoretical apparatus and he offers an original defence of metaphysics against their advocacy of its elimination. -/- Seeking to assuage the sceptical worries which underlie modal (...) anti-realism, McLeod provides an original contribution to essentialist epistemology, engaging with current debates about modality and suggesting that standard essentialist approaches to some issues in the philosophies of logic and language require revision. -/- This book offers valuable insights to professional philosophers, postgraduates and advanced undergraduates interested in metaphysics, philosophy of logic or the history of twentieth-century analytic philosophy. (shrink)

Frequentism and Bayesianism represent very different approaches to hypothesis testing, and this presents a skeptical challenge for Bayesians. Given that most empirical research uses frequentist methods, why (if at all) should we rely on it? While it is well known that there are conditions under which Bayesian and frequentist methods agree, without some reason to think these conditions are typically met, the Bayesian hasn’t shown why we are usually safe in relying on results reported by significance testers. In this article, (...) I provide arguments that such conditions will usually be met; the Bayesian can maintain her theoretical disagreement with the frequentist while holding that her error is mostly harmless in practice. (shrink)

A computer can come to understand natural language the same way Helen Keller did: by using “syntactic semantics”—a theory of how syntax can suffice for semantics, i.e., how semantics for natural language can be provided by means of computational symbol manipulation. This essay considers real-life approximations of Chinese Rooms, focusing on Helen Keller’s experiences growing up deaf and blind, locked in a sort of Chinese Room yet learning how to communicate with the outside world. Using the SNePS computational knowledge-representation system, (...) the essay analyzes Keller’s belief that learning that “everything has a name” was the key to her success, enabling her to “partition” her mental concepts into mental representations of: words, objects, and the naming relations between them. It next looks at Herbert Terrace’s theory of naming, which is akin to Keller’s, and which only humans are supposed to be capable of. The essay suggests that computers at least, and perhaps non-human primates, are also capable of this kind of naming. (shrink)

We carry out the Karttunen-Stalnaker pragmatic account of presupposition projection within a state-of-the art version of dynamic epistemic logic. It turns out that the basic projection facts can all be derived from a Gricean maxim ‘be informative’. This sheds light on a recent controversy on the appropriateness of dynamic semantics as a tool for analysing presupposition.

Some of Quine’s critics charge that he arrives at a behavioristic account of linguistic meaning by starting from inappropriately behavioristic assumptions (Kripke 1982, 14; Searle 1987, 123). Quine has even written that this account of linguistic meaning is a consequence of his behaviorism (Quine 1992, 37). I take it that the above charges amount to the assertion that Quine assumes the denial of one or more of the following claims: (1) Language-users associate mental ideas with their linguistic expressions. (2) A (...) language-user can have a private theory of linguistic meaning which guides his or her use of language. (3) Language learning relies on innate mechanisms. Call an antecedent denial of one or more of these claims illicit behaviorism. In this paper I show that Quine is prepared to grant, if only for the sake of argument, all three of the above claims. I argue that his claim that there is nothing in linguistic meaning beyond what is to be gleaned from overt behavior in observable circumstances is unscathed by these allowances (Quine 1992, 38). And I show that the behaviorism which Quine does assume should be viewed as a largely uncontroversial aspect of his evidential empiricism. I conclude that if one sets out to dismiss Quine’s arguments for internal-meaning skepticism, this dismissal should not be motivated by the charge that his conclusions rely on the illicitly behavioristic assumptions that some have suggested that they do. (shrink)

The purpose of this paper is to clarify what metaontological realism, as discussed in contemporary metaontological literature, amounts to. Although metaontological debates are of relatively long standing, the terms ‘realism’ and ‘anti‐realism’ have only recently come to be regularly applied to metaontological positions. The new usage is not fully stable. This paper aims to: (1) distinguish three key claims associated with the term ‘realism’ in metaontology, and give some initial reasons why it is important to be very clear about the (...) differences between these claims; (2) argue that the three ‘realist’ claims are independent of one other; and (3) argue that the label ‘ontological realism’ is best attached to just one of the three claims, namely the claim that the facts of ontology are objective. (shrink)

In recent years it has become more and more difficult to distinguish between metaethical cognitivism and non-cognitivism. For example, proponents of the minimalist theory of truth hold that moral claims need not express beliefs in order to be (minimally) truth-apt, and yet some of these proponents still reject the traditional cognitivist analysis of moral language and thought. Thus, the dispute in metaethics between cognitivists and non-cognitivists has come to be seen as a dispute over the correct way to characterize our (...) psychology: are moral judgments beliefs, or a kind of pro-attitude? In this paper, I argue that this distinction, too, is difficult to maintain in the light of a reasonable skepticism about folk psychology. I conclude by suggesting some new possibilities for the analysis of moral language that look beyond this distinction. I begin by briefly reviewing some contemporary positions in metaethics on cognitivism and non-cognitivism, that are intended to emphasize the supposed psychological differences between the two views. I show that the appearance of a clear difference between these views depends on one's having a very strong commitment to the context-independence and completeness of certain concepts of folk psychology. I then argue for a moderate skepticism about folk psychology. I conclude that folk concepts like ?belief? are not sufficiently well-defined to settle this metaethical dispute. (shrink)

In his landmark article, “Two Dogmas of Empiricism,” W.V.O. Quine pushed analytical philosophy into its post-positivist phase by rejecting two central tenets of logical empiricism. The first dogma was the distinction between analytic and synthetic statements; the second was reductionism, or the belief that to each synthetic sentence there corresponds a set of experiences that will confirm or disconfirm it. But in both “Two Dogmas” and Word and Object, Quine stretches analytical philosophy to its limits. The problem is, ironically, his (...) adherence to two separate dogmas. The first stems from Quine’s empiricism: he insists that there is nothing more to meaning than the empirical method of discovering it. The second has been taken as the defining characteristic of analytical philosophy;2 it is the belief that a philosophical account of thought can only be attained through an account of language – the famed “linguistic turn.” I will argue that a philosophical account of language can only be attained given an account of thought,3 and that the philosophies of Kant and Davidson can help us construct such an account. (shrink)

In this paper we investigate strong logics of first and second order that have certain absoluteness properties. We begin with an investigation of first order logic and the strong logics ω-logic and β-logic, isolating two facets of absoluteness, namely, generic invariance and faithfulness. It turns out that absoluteness is relative in the sense that stronger background assumptions secure greater degrees of absoluteness. Our aim is to investigate the hierarchies of strong logics of first and second order that are generically invariant (...) and faithful against the backdrop of the strongest large cardinal hypotheses. We show that there is a close correspondence between the two hierarchies and we characterize the strongest logic in each hierarchy. On the first-order side, this leads to a new presentation of Woodin's Ω-logic. On the second-order side, we compare the strongest logic with full second-order logic and argue that the comparison lends support to Quine's claim that second-order logic is really set theory in sheep's clothing. (shrink)

Simon Saunders and David Wallace have proposed an attractive semantics for interpreting linguistic communities embedded in an Everettian multiverse. It provides a charitable interpretation of our ordinary talk about the future, and allows us to retain a principle of bivalence for propositions and to retain the law of excluded middle in the logic of propositions about the future. But difficulties arise when it comes to providing an appropriate account of the metaphysics of macroscopic objects and events. I evaluate various metaphysical (...) frameworks which might be combined with the Saunders–Wallace semantics. I conclude that the most appropriate metaphysics to underwrite the semantics renders Everettian quantum mechanics a theory of non-overlapping worlds. (shrink)

In a series of interesting and influential papers on semantics, Hilary Putnam has developed what he calls a “post-verificationist” theory of meaning. As part of this work, and not I think the most important part, Putnam defends a limited version of the analytic-synthetic distinction. In this paper I will survey and evaluate Putnam’s defense of analyticity and explore its relationship to broader concerns in semantics. Putnam’s defense of analyticity ultimately fails, and I want to show here exactly why it fails. (...) However, I will also argue that this very failure helps open the prospect of a new optimism concerning the theory of meaning, a theory of meaning finally liberated from the dead weight of the notions of analyticity and necessary truth. Putnam’s work, in fact, makes valuable contributions to such a theory. (shrink)