We are justified in employing the rule of inference Modus Ponens (or one much like it) as basic in our reasoning. By contrast, we are not justified in employing a rule of inference that permits inferring to some difficult mathematical theorem from the relevant axioms in a single step. Such an inferential step is intuitively “too large” to count as justified. What accounts for this difference? In this paper, I canvass several possible explanations. I argue that the most promising approach (...) is to appeal to features like usefulness or indispensability to important or required cognitive projects. On the resulting view, whether an inferential step counts as large or small depends on the importance of the relevant rule of inference in our thought. (shrink)

Significant issues remain for understanding and evaluating the Quinean critique of the analytic/synthetic distinction. These issues are highlighted in a puzzling mismatch between the common philosophical attitude toward the critique and its broader intellectual legacy. A discussion of this mismatch sets the larger context for criticism of a recent tradition of interpretation of the critique. I argue that this tradition confuses the roles and relative importance of indeterminacy, a priority, and analyticity in the Quinean critique.

According to Brandom’s conceptual role semantics, to grasp a concept involves a commitment to drawing certain inferences. This is a consequence of the inferentialist thesis that the meaning of a term is given by its justification through assertibility conditions. Inferential commitments come out from a material notion of inference which underwrites human rational discourse and activity. In this paper I discuss a problem of Brandom’s semantics allegedly exposed in an argument by Paul Boghossian against Dummett’s and Brandom’s substantive conception of (...) meaning. I contend that Boghossian’s analysis is dubious because it overlooks an important difference between Dummett’s and Brandom’s positions related respectively to a monotonic and a non-monotonic view of the norm underwriting meaning. (shrink)

Intuition is sometimes derided as an abstruse or esoteric phenomenon akin to crystal-ball gazing. Such derision appears to be fuelled primarily by the suggestion, evidently endorsed by traditional rationalists such as Plato and Descartes, that intuition is a kind of direct, immediate apprehension akin to perception. This paper suggests that although the perceptual analogy has often been dismissed as encouraging a theoretically useless metaphor, a quasi-perceptualist view of intuition may enable rationalists to begin to meet the challenge of supplying a (...) theoretically satisfying treatment of their favoured epistemic source. It is argued, first, that intuitions and perceptual experiences are at a certain level of abstraction the same type of mental state, presentations, which are distinct from beliefs, hunches, inclinations, attractions, and seemings. The notion of a presentation is given a positive explication, which identifies its characteristic features, accounts for several of its substantive psychological roles, and systematically locates it in a threefold division among types of contentful states. Subsequently, it is argued that presentations, intuitive no less than sensory, are by their nature poised to play a distinctive epistemic role. Specifically, in the case of intuition, we encounter an intellectual state that is so structured as to provide justification without requiring justification in turn—something which may, thus, be thought of as ‘given’. (shrink)

This thesis offers a naturalist revision of Alain Badiou’s philosophy. This goal is pursued through an encounter of Badiou’s mathematical ontology and theory of truth with contemporary trends in philosophy of mathematics and philosophy of science. I take issue with Badiou’s inability to elucidate the link between the empirical and the ontological, and his residual reliance on a Heideggerian project of fundamental ontology, which undermines his own immanentist principles. I will argue for both a bottom-up naturalisation of Badiou’s philosophical approach (...) to mathematics and a top-down naturalisation. Articulating my particular understanding of what realism and naturalism should commit us to, I propose a creative fusion of Badiou’s attention to metamathematical results with a structural-informational metaphysics, proposing a ‘matherialism’ uniting the more daring speculative insights of the former with the naturalist and empiricist commitments motivating the latter. (shrink)

Recently, philosophers have put forth views in the epistemology of disagreement that emphasize the epistemic relevance of the first-person perspective in disa- greement. In the first part of the paper, I attempt a rational reconstruction of these views. I construe these views as invoking the first-person perspective to explain why it is rational for parties to a disagreement to privilege their own opinions in the absence of independent explanations for doing so—to privilege without independent explanations. I reconstruct three ways privilege (...) might be thought to arise: by demotion, through self-trust, and through the epistemic immediacy in the first-person perspective. I argue that none of these ways, and none of the views that make use of them, clarify a compelling account of the epistemic relevance of the first-person perspective. In the second part of the paper, I try to discern some lessons and outline an alternative approach. According to this approach, the epistemic relevance of the first-person perspective is not to explain privilege without independent explanations but to explain the epistemic limits of intersubjective understanding. These limits are manifest in reflective disagreement and explain how other minds matter for one’s own mind in the pursuit of knowledge. The resulting view about the epistemology of disagreement is neither skeptical nor dogmatic, but dialectical, involving an active mental state that conceptualizes not only the subject matter but also one’s own and others’ minds in thinking and rational interaction at the epistemic limits of intersubjective understanding. (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 Boghossian's 1997 paper, 'Analyticity' he presented an account of a prioriknowledge of basic logical principles as available by inference from knowledge of their role in determining the meaning of the logical constants by implicit definitiontogether with knowledge of the meanings so-determined that we possess through ourprivileged access to meaning. Some commentators (e.g. BonJour (1998), Glüer (2003),Jenkins (2008)) have objected that if the thesis of implicit definition on which he relieswere true, knowledge of the meaning of the constants would presuppose (...) knowledge of the very logical principles knowledge of which the account purports to explain. Aconsequence would seem to be that implicit definition is incompatible with privilegedaccess. I argue that whilst it is possible for Boghossian to defend against theseobjections the form of argument he proposes does exhibit a subtle form of questionbegging such that it exhibits a transmission of warrant-failure. (shrink)

According to the most popular non-skeptical views about intuition, intuitions justify beliefs because they are based on understanding. More precisely: if intuiting that p justifies you in believing that p it does so because your intuition is based on your understanding of the proposition that p. The aim of this paper is to raise some challenges for accounts of intuitive justification along these lines. I pursue this project from a non-skeptical perspective. I argue that there are cases in which intuiting (...) that p justifies you in believing that p, but such that there is no compelling reason to think this is because your intuition is based on your understanding of the proposition that p. (shrink)

Two conceptions of a priori methods and assumptions can be distinguished. First, there are the assumptions and methods accepted prior to a given inquiry. Second, there are innate assumptions and methods. For each of these two types of a priori methods and assumptions, we can also allow cases in which one starts with something that is a priori and is justified in reaching a new belief or procedure without making any appeal to new experiential data. But we should not suppose (...) there is some further sort of a priori explained in terms of some other notion of justification. If we try to construct a notion of the a priori by considering ways in which knowledge, belief, or reasoning might be though to be directly a priori, via direct insight, inability to imagine something false, intentions about use of language, and the language faculty, the resulting conception of the a prior in each of these cases reduces to either of the first two conceptions. (shrink)

The distinction between a priori and a posteriori knowledge has been the subject of an enormous amount of discussion, but the literature is biased against recognizing the intimate relationship between these forms of knowledge. For instance, it seems to be almost impossible to find a sample of pure a priori or a posteriori knowledge. In this paper, it will be suggested that distinguishing between a priori and a posteriori is more problematic than is often suggested, and that a priori and (...) a posteriori resources are in fact used in parallel. We will define this relationship between a priori and a posteriori knowledge as the bootstrapping relationship. As we will see, this relationship gives us reasons to seek for an altogether novel definition of a priori and a posteriori knowledge. Specifically, we will have to analyse the relationship between a priori knowledge and a priori reasoning , and it will be suggested that the latter serves as a more promising starting point for the analysis of aprioricity. We will also analyse a number of examples from the natural sciences and consider the role of a priori reasoning in these examples. The focus of this paper is the analysis of the concepts of a priori and a posteriori knowledge rather than the epistemic domain of a posteriori and a priori justification. (shrink)

The reshaping of much scientific research around computational methods is not just a technological curiosity. It results in a significant reshaping of conceptual and representational resources within science in ways with which many traditional philosophical positions are ill-equipped to cope. Some illustrations of this are provided and a consequence for the roles of science and the arts is noted.

What accounts for how we know that certain rules of reasoning, such as reasoning by Modus Ponens, are valid? If our knowledge of validity must be based on some reasoning, then we seem to be committed to the legitimacy of rule-circular arguments for validity. This paper raises a new difficulty for the rule-circular account of our knowledge of validity. The source of the problem is that, contrary to traditional wisdom, a universal generalization cannot be inferred just on the basis of (...) reasoning about an arbitrary object. I argue in favor of a more sophisticated constraint on reasoning by universal generalization, one which undermines a rule-circular account of our knowledge of validity. (shrink)

In his 1993 article George Bealer offers three separate arguments that are directed against the internal coherence of empiricism, specifically against Quine’s version of empiricism. One of these arguments is the starting points argument (SPA) and it is supposed to show that Quinean empiricism is incoherent. We argue here that this argument is deeply flawed, and we demonstrate how a Quinean may successfully defend his views against Bealer’s SPA. Our defense of Quinean empiricism against the SPA depends on showing (1) (...) that Bealer is, in an important sense, a foundationalist, and (2) that Quine is, in an important sense, a coherentist. Having established these two contentions we show that Bealer’s SPA begs the question against Quinean empiricists. (shrink)

The purpose of this paper is to examine the status of logic from a metaphysical point of view – what is logic grounded in and what is its relationship with metaphysics. There are three general lines that we can take. 1) Logic and metaphysics are not continuous, neither discipline has no bearing on the other one. This seems to be a rather popular approach, at least implicitly, as philosophers often skip the question altogether and go about their business, be it (...) logic or metaphysics. However, it is not a particularly plausible view and it is very hard to maintain consistently, as we will see. 2) Logic is prior to metaphysics and has metaphysical implications. The extreme example of this kind of approach is the Dummettian one, according to which metaphysical questions are reducible to the question of which logic to adopt. 3) Metaphysics is prior to logic, and your logic should be compatible with your metaphysics. This approach suggests an answer to the question of what logic is grounded in, namely, metaphysics. Here I will defend the third option. (shrink)

In recent years, even some of its own practitioners have accused analytic philosophy of lacking historical awareness. My aim is to show that analytic philosophy and history are not such a mismatch after all. Against the objection that analytic philosophers have unduly ignored the past I argue that for the most part they only resist strong versions of historicism, and for good reasons. The history of philosophy is not the whole of philosophy, as extreme historicists maintain, nor is it indispensable (...) to substantive philosophizing, as mainline historicists have it, it is merely advantageous (pragmatic historicism). Against the objection that analytic histories of philosophy are inevitably anachronistic I argue that it is possible to approach past texts with a view to substantive issues and in a critical spirit (contrary to historicist relativism and to misguided interpretations of the principle of charity). Indeed, such an analytic approach makes not just for better philosophy but also for better history. (shrink)

This article surveys work in epistemology since the mid-1980s. It focuses on contextualism about knowledge attributions, modest forms of foundationalism, and the internalism/externalism debate and its connections to the ethics of belief.

What sorts of things are the intuitions generated via thought experiment? Timothy Williamson has responded to naturalistic skeptics by arguing that thought-experiment intuitions are judgments of ordinary counterfactuals. On this view, the intuition is naturalistically innocuous, but it has a contingent content and could be known at best a posteriori. We suggest an alternative to Williamson's account, according to which we apprehend thought-experiment intuitions through our grasp on truth in fiction. On our view, intuitions like the Gettier intuition are necessarily (...) true and knowable a priori. Our view, like Williamson's, avoids naturalistic skepticism. (shrink)

In virtue of what are we justified in employing the rule of inference Modus Ponens? One tempting approach to answering this question is to claim that we are justified in employing Modus Ponens purely in virtue of facts concerning meaning or concept-possession. In this paper, we argue that such meaning-based accounts cannot be accepted as the fundamental account of our justification.

(revisions posted 12/5/2006) to appear in Internalism and Externalism in Semantics and Epistemology, ed. by Sanford Goldberg (to be published by Oxford in 2006 or 2007) Michael McKinsey formulated an argument that raises a puzzle about the relation between externalism about content and our introspective awareness of content. The puzzle goes like this: it seems like I can know the contents of my thoughts by introspection alone; but philosophical reflection tells me that the contents of those thoughts are externalist, and (...) so I couldn. (shrink)

Both through his own work and that of his students, Franz Clemens Brentano had an often underappreciated influence on the course of 20 th - and 21 st -century philosophy. _The Routledge Handbook of Franz Brentano and the Brentano School_ offers full coverage of Brentano’s philosophy and his influence. It contains 38 brand-new essays from an international team of experts that offer a comprehensive view of Brentano’s central research areas—philosophy of mind, metaphysics, and value theory—as well as of the principal (...) figures shaped by Brentano’s school of thought. A General Introduction serves as an overview of Brentano and the contents of the volume and three separate bibliographies point students and researchers on to further avenues of inquiry. Systematic and detailed, _The Routledge Handbook of Franz Brentano and the Brentano School_ provides readers with a valuable reference to Brentano’s work, and to his lasting importance in the history of philosophy and in contemporary debates. (shrink)

In this paper I will argue that if physics is to become a coherent metaphysics of nature it needs an “interpretation”. As I understand it, an interpretation of a physical theory amounts to offering (1) a precise formulation of its ontological claims and (2) a clear account of how such claims are related to the world of our experience. Notably, metaphysics enters importantly in both tasks: in (1), because interpreting our best physical theories requires going beyond a merely instrumentalist view (...) of science and therefore using our best metaphysical theories; in (2), because a philosophical elaboration of the theories of the world that are implicit in our experience is one of the tasks of analytic metaphysics, and bridging possible explanatory gaps or even conflicts between the physical image and the manifest image of the world is a typical philosophical task that involves science and metaphysics. (shrink)

This chapter traces the development of structural realism within the scientific realism debate and the wider current of structuralism that has swept the philosophy of the natural sciences in the twentieth century.1 The primary aim is to make perspicuous the many manifestations of structural realism and their underlying claims. Among other things, I will compare structural realism’s various manifestations in order to throw more light onto the relations between them. At the end of the chapter, I will identify the main (...) objections raised against the epistemic form of structural realism. This last task will pave the way for the evaluation of the structural realist answer to the main epistemological question, an evaluation that will be central to the rest of this dissertation. (shrink)

Mathematical apriorists sometimes hold that our non-derived mathematical beliefs are warranted by mathematical intuition. Against this, Philip Kitcher has argued that if we had the experience of encountering mathematical experts who insisted that an intuition-produced belief was mistaken, this would undermine that belief. Since this would be a case of experience undermining the warrant provided by intuition, such warrant cannot be a priori.I argue that this leaves untouched a conception of intuition as merely an aspect of our ordinary ability to (...) reason. Thus the apriorist may still hold that some mathematical beliefs are warranted by intuition. (shrink)

In this paper I will argue that Boghossian's explanation of how we can acquire a priori knowledge of logical principles through implicit definitions commits a transmission of warrant-failure. To this end, I will briefly outline Boghossian's account, followed by an explanation of what a transmission of warrant-failure consists in. I will also show that this charge is independent of the worry of rule-circularity which has been raised concerning the justification of logical principles and of which Boghossian is fully aware. My (...) argument comes in two steps: firstly, I will argue for the insufficiency of Boghossian's template which is meant to explain how a subject can acquire a warrant for logical principles. I will show however that this insufficiency of his template can be remedied by adopting what I call the Disquotational Step. Secondly, I will argue that incorporating this further step makes his template subject to a transmission of warrant-failure, assuming that certain rather basic and individually motivated principles hold. Thus, Boghossian's account faces a dilemma: either he adopts the Disquotational Step and subjects his account to the charge of a transmission of warrant-failure, or he drops this additional step leaving the account confronted with explaining the gap that has previously been highlighted. I will then suggest various rejoinders that Boghossian might adopt but none of which - I will argue - can resolve the dilemma. Lastly, I will raise and briefly discuss the question whether this worry generalizes to other accounts, such as Hale and Wright's that aim to explain our knowledge of logic and/or mathematics in virtue of implicit definitions. (shrink)

I defend Joseph Melia’s nominalist account of mathematics from an objection raised by Mark Colyvan.

The technical term “ tarka ” in the Nyāya tradition is the object of the present investigation. Diverse texts including Buddhist ones exhibit a negative estimation of activities using tarka . In contrast, more often than not, later treatises dealing with logico-epistemic problems, especially certain Naiyāyika works, identify the methodological peculiarity of Nyāya with tarka . Such an ambivalent attitude toward tarka can be understood in a coherent way if the essential features of tarka that gave rise to it can (...) be grasped. Starting from the Nyāyasūtra 1.1.40 and the explanation given in the Nyāyabhāṣya on it, the present researcher sorted out three characteristic features of tarka in the early Nyāya tradition. These three features focus on the main feature of tarka : namely, reflective analysis without requiring further factual information on the object of investigation. Based on this, the present researcher critically reviewed what promoted an understanding of tarka as a reductio ad absurdum argument or an a priori reasoning. Furthermore, certain passages from the Nyāyamañjarī , Nyāyakalikā , and Tarkasaṅgraha were examined to demonstrate that the present researcher’s interpretative understanding of tarka was adequate for explaining the usage of this term in a broad sense, with positive connotations. (shrink)

Some philosophers find the following thesis attractive: for every logical constant C there is a set of logical rules of inference R such that a subject knows the meaning of C if and only if she accepts the rules in R. I point out some obvious but, apparently, easily forgotten difficulties concerning this thesis.

Reconstructions of Kant are prominent in the contemporary debate over naturalism. Given that this naturalism rejects a priori principles, Kant's anti-naturalism can best be discerned in the “critical turn” as a response to David Hume. Hume did not awaken Kant to criticize but to defend rational metaphysics. But when Kant went transcendental did he not, in fact, go transcendent? The controversy in the 1990s over John McDowell's Mind and World explored just this suspicion: the questions of the normative force of (...) reason and of the ontological “space of reasons” vis- -vis the world. “Bald naturalism” appears to “extrude” rationality both ontologically and epistemologically from the natural world. Kant sought to discriminate a transcendental middle ground, safe from either extrusion. But was Kant's notion of the autonomy and spontaneity of reason as metaphysically innocent as McDowell's critics would have it? Situating Hume and naturalism in the eighteenth-century German context can help us understand the “critical turn” more accurately. While Hume recognized procedural proprieties for reflection, he did not believe in their a priori necessity. Initially, Kant shared that view. What assimilating Leibniz and Locke in the late 1760s garnered for Kant—the simultaneous spontaneity and self-transparency of reason—seemed to provide a means for overcoming Hume's skepticism and establishing a new foundation for metaphysics. Accordingly, all of the efforts of modern Kantianism notwithstanding, there is more than a whiff of the transcendent in Kant's transcendentalism. (shrink)

In recent work on a priori justification, one thing about which there is considerable agreement is that the notion of truth in virtue of meaning is bankrupt and infertile. (For the sake of more readable prose, I will use ‘TVM’ as an abbreviation for ‘the notion of truth in virtue of meaning’.) Arguments against the worth of TVM can be found across the entire spectrum of views on the a priori, in the work of uncompromising rationalists (such as BonJour (1998)), (...) of centrist moderates (such as Boghossian (1997)), and of uncompromising empiricists (such as Devitt (2004)). My aim is to dispute this widespread opinion. The outline is as follows: First, §§2-3 consist of preliminary stage-setting. Then, in §4 I will argue that some of the most prevalent arguments against the worth of TVM – in particular, one which is given clear expression by Quine (1970), and is recently reinforced by Boghossian (1997) – do not engage with the core idea motivating TVM. After deflecting this charge of incoherence, the aim of §§5-8 is to work toward developing a useful conception of TVM. (shrink)

In his 1993 article George Bealer offers three separate arguments that are directed against the internal coherence of empiricism, specifically Quine’s version of empiricism. In doing so, Bealer identifies three fundamental principles of Quine’s empiricism. First, the principle of empiricism states that.

I argue that Neo-Fregean accounts of arithmetical language and arithmetical knowledge tacitly rely on a thesis I call [Success by Default]—the thesis that, in the absence of reasons to the contrary, we are justified in thinking that certain stipulations are successful. Since Neo-Fregeans have yet to supply an adequate defense of [Success by Default], I conclude that there is an important gap in Neo-Fregean accounts of arithmetical language and knowledge. I end the paper by offering a naturalistic remedy.

This article tackles the problem of normativity in naturalism and considers it in the context of the philosophy of historiography. I argue that strong naturalism is inconsistent with genuine normat...

This article discusses two coextensive concepts of logical consequence that are implicit in the two fundamental logical practices of establishing validity and invalidity for premise-conclusion arguments. The premises and conclusion of an argument have information content (they ?say? something), and they have subject matter (they are ?about? something). The asymmetry between establishing validity and establishing invalidity has long been noted: validity is established through an information-processing procedure exhibiting a step-by-step deduction of the conclusion from the premise-set. Invalidity is established by (...) exhibiting a countermodel satisfying the premises but not the conclusion. The process of establishing validity focuses on information content; the process of establishing invalidity focuses on subject matter. Corcoran's information-theoretic concept of logical consequence corresponds to the former. Tarski's model-theoretic concept of logical consequence formulated in his famous 1936 no-countermodels definition corresponds to the latter. Both are found to be indispensable for understanding the rationale of the deductive method and each complements the other. This study discusses the ontic question of the nature of logical consequence and the epistemic question of the human capabilities presupposed by practical applications of these two concepts as they make validity and invalidity accessible to human knowledge. (shrink)

Here is one argument against realism. (1) Realists are committed to the classical rules for negation. But (2) legitimate rules of inference must conserve evidence. And (3) the classical rules for negation do not conserve evidence. So (4) realism is wrong. Most realists reject 2. But it has recently been argued that if we allow denied sentences as premisses and conclusions in inferences we will be able to reject 3. And this new argument against 3 generates a new response to (...) the antirealist argument: keep 1 and 2, avoiding 4 by rejecting 3. My aim in this paper is to see how much work in the fight against anti-realism this new response can really do. I argue that there is a powerful objection to the response: 2 is in tension with the claim that denied sentences can be premisses and conclusions in inferences. But I show that, even given this objection, the new response has an important role to play. (shrink)

Some philosophers find the following thesis attractive: for every logical constant C there is a set of logical rules of inference R such that a subject knows the meaning of C if and only if she accepts the rules in R. I point out some obvious but, apparently, easily forgotten difficulties concerning this thesis.

I present and defend a reliabilist explanation of a priori knowledge which fulfils seven plausibility requirements.