I investigate the implication of the truth-relativist’s alleged ‘faultless disagreements’ for issues in the epistemology of disagreement. A conclusion I draw is that the type of disagreement the truth-relativist claims (as a key advantage over the contextualist) to preserve fails in principle to be epistemically significant in the way we should expect disagreements to be in social-epistemic practice. In particular, the fact of faultless disagreement fails to ever play the epistemically significant role of making doxastic revision (at least sometimes) rationally (...) required for either party in a (faultless) disagreement. That the truth-relativists’ disagreements over centred content fail to play this epistemically significant role that disagreements characteristically play in social epistemology should leave us sceptical that disagreement is what the truth-relativist has actually preserved. (shrink)
When extended cognition is extended into mainstream epistemology, an awkward tension arises when considering cases of environmental epistemic luck. Surprisingly, it is not at all clear how the mainstream verdict that agents lack knowledge in cases of environmental luck can be reconciled with principles central to extended cognition.
Duncan Pritchard (2008, 2009, 2010, forthcoming) has argued for an elegant solution to what have been called the value problems for knowledge at the forefront of recent literature on epistemic value. As Pritchard sees it, these problems dissolve once it is recognized that that it is understanding-why, not knowledge, that bears the distinctive epistemic value often (mistakenly) attributed to knowledge. A key element of Pritchard’s revisionist argument is the claim that understanding-why always involves what he calls strong cognitive achievement—viz., cognitive (...) achievement that consists always in either (i) the overcoming of a significant obstacle or (ii) the exercise of a significant level of cognitive ability. After outlining Pritchard’s argument, we show (contra Pritchard) that understanding-why does not essentially involve strong cognitive achievement. Interestingly, in the cases in which understanding-why is distinctively valuable, it is (we argue) only because there is sufficiently rich objectual understanding in the background. If that’s right, then a plausible revisionist solution to the value problems must be sensitive to different kinds of understanding and what makes them valuable, respectively. (shrink)
Abstract: We challenge a line of thinking at the fore of recent work on epistemic value: the line (suggested by Kvanvig [2003] and others) that if the value of knowledge is “swamped” by the value of mere true belief, then we have good reason to doubt its theoretical importance in epistemology. We offer a value-driven argument for the theoretical importance of knowledge—one that stands even if the value of knowledge is “swamped” by the value of true belief. Specifically, we contend (...) that even if knowledge itself has no special epistemic value, its relationship to other items of value—cognitive abilities—gives ample reason to locate the concept at the very core of epistemology. (shrink)
ABSTRACT: We argue that the so-called ‘Primary’ and ‘Secondary’ Value Problems for knowledge are more easily solved than is widely appreciated. Pritchard, for instance, has suggested that only virtue-theoretic accounts have any hopes of adequately addressing these problems. By contrast, we argue that accounts of knowledge that are sensitive to the Gettier problem are able to overcome these challenges. To first approximation, the Primary Value Problem is a problem of understanding how the property of being knowledge confers more epistemic value (...) on a belief than the property of being true. The Secondary Value is a problem of understanding how, for instance, property of being knowledge confers more epistemic value on a belief than the property of being jointly true and justified. We argue that attending to the fact that beliefs are ongoing states reveals that there is no difficulty in appreciating how knowledge might ordinarily have more epistemic value than mere true belief or mere justified true belief. We also explore in what ways ordinary cases of knowledge might be of distinctive epistemic value. In the end, our proposal resembles the original Platonic suggestion in the Meno that knowledge is valuable because knowledge is somehow tied to the good of truth. (shrink)
This article takes as a starting point the current popular anti realist position, Fictionalism, with the intent to compare it with actual mathematical practice. Fictionalism claims that mathematical statements do purport to be about mathematical objects, and that mathematical statements are not true. Considering these claims in the light of mathematical practice leads to questions about how mathematical objects are handled, and how we prove that certain statements hold. Based on a case study on Riemann’s work on complex functions, I (...) propose that mathematicians deal with systems of representations and that truth—or what we can prove—depends on available representations in some context where the problem can be solved. (shrink)
Duncan Pritchard has, in the years following his (2005) defence of a safety-based account of knowledge in Epistemic Luck, abjured his (2005) view that knowledge can be analysed exclusively in terms of a modal safety condition. He has since (Pritchard in Synthese 158:277–297, 2007; J Philosophic Res 34:33–45, 2009a, 2010) opted for an account according to which two distinct conditions function with equal importance and weight within an analysis of knowledge: an anti-luck condition (safety) and an ability condition-the latter being (...) a condition aimed at preserving what Pritchard now takes to be a fundamental insight about knowledge: that it arises from cognitive ability (Greco 2010; Sosa 2007, 2009). Pritchard calls his new view anti-luck virtue epistemology (ALVE). A key premise in Pritchard’s argument for ALVE is what I call the independence thesis; the thesis that satisfying neither the anti-luck condition nor the ability condition entails that the other is satisfied. Pritchard’s argument for the independence thesis relies crucially upon the case he makes for thinking that cognitive achievements are compatible with knowledge-undermining environmental luck—that is, the sort of luck widely thought to undermine knowledge in standard barn facade cases. In the first part of this paper, I outline the key steps in Pritchard’s argument for anti-luck virtue epistemology and highlight how it is that the compatibility of cognitive achievement and knowledge- undermining environmental luck is indispensible to the argument’s success. The second part of this paper aims to show that this compatibility premise crucial to Pritchard’s argument is incorrect. (shrink)
If Savulescu's (2001, 2009) controversial principle of Procreative Beneficence (PB) is correct, then an important implication is that couples should employ genetic tests for non-disease traits in selecting which child to bring into existence. Both defenders as well as some critics of this normative entailment of PB have typically accepted the comparatively less controversial claim about non-disease traits: that there are non-disease traits such that testing and selecting for them would in fact contribute to bringing about the child who is (...) expected to have the best life. We challenge this less controversial claim, not by arguing deductively for its falsity, but by showing that Savulescu's central argument for this presumably less controversial claim fails. Savulescu offers intelligence as the paradigm example of a testable non-disease trait such that testing and selecting for it would increase the likelihood that the child selected would be the one who is expected to have the best life (or at least as good a life as the others). We provide a series of arguments aimed at demonstrating that Savulescu's argument from intelligence fails. If our arguments are successful, the upshot is not that PB is false, but more modestly, that the burden of proof remains squarely with Savulescu. (shrink)
An important feature of so-called rational decision making, at least in times of crisis, is arational: that is, our ability to decide manifests features of our characters or the values we hold rather than our reasoning abilities.1 Such a position stands in obvious opposition to the Western philosophical tradition. Consider, by comparison, the view of Immanuel Kant, who held that reason could, and perhaps sometimes ought to, operate independently of (and in opposition to) our sentiments. Contrary to Kant, William James (...) argues in "The Sentiment of Rationality" that arational mental states and phenomena—such as feelings, emotions, values, and attitudes—are indispensable to practical rationality (317). The attempt to .. (shrink)
Recently, much work has been done on G.E. Moore's proof of an external world with the aim of diagnosing just where the Proof `goes wrong'. In the mainstream literature, the most widely discussed debate on this score stands between those who defend competing accounts of perceptual warrant known as dogmatism (i.e. Pryor and Davies) and conservativism (i.e. Wright). Each account implies a different verdict on Moore's Proof, though both share a commitment to supposing that an examination of premise-conclusion dependence relations (...) will sufficiently reveal what's wrong with the Proof. Parallel to this debate on Moore stands perhaps an equally interesting (though less discussed) debate within which the Proof is critiqued as it stands in the context of the skeptical debate. On this score, Michael Fara and Ernest Sosa have weighed in with a markedly different take on Moore's anti-skeptical ambitions and on the nature of skeptical challenges more generally. The aim of this paper will be to critically evaluate these two very distinct strands of recent work on Moore's Proof. Part I of the paper will focus on the mainstream debate, and in Part II of the paper, I'll focus on the parallel debate about skepticism. My critical discussion will be aimed throughout at showing how the various proposals I've taken as representative of these two parallel debates surrounding Moore's Proof ultimately fall short-each for different reasons-of what a satisfactory diagnosis of the Proof would require. (shrink)
Expressivist views of an area of discourse encourage us to ask not about the nature of the relevant kinds of values but rather about the nature of the relevant kind of evaluations. Their answer to the latter question typically claims some interesting disanalogy between those kinds of evaluations and descriptions of the world. It does so in hope of providing traction against naturalism-inspired ontological and epistemological worries threatening more ‘realist’ positions. This is a familiar position regarding ethical discourse; however, some (...) authors (e.g. Field, Heller, Gibbard, Blackburn, Chrisman) have recently defended a similar view regarding epistemic discourse. Others (especially Kvanvig, Cuneo, and Lynch) have argued that epistemic expressivism faces special problems, not necessarily attaching to expressivism about other areas. Their arguments differ in interesting ways, but the common strategy is an attempt to show that the very sort of meta-epistemological theorizing needed to articulate and establish epistemic expressivism involves the epistemic expressivist in some sort of internal incoherence or self-defeat. That is, they think that articulating or defending the position requires implicit commitment to the negation of one of the positions core tenets. This paper responds to those arguments on behalf of epistemic expressivism, suggesting that they each misunderstand what is crucial to epistemic expressivism. By responding to these arguments, we hope to achieve more clarity about what epistemic expressivism is and why one might want to endorse it in a meta-epistemology. (shrink)
The Swamping Argument – highlighted by Kvanvig (2003; 2010) – purports to show that the epistemic value of truth will always swamp the epistemic value of any non-factive epistemic properties (e.g. justification) so that these properties can never add any epistemic value to an already-true belief. Consequently (and counter-intuitively), knowledge is never more epistemically valuable than mere true belief. We show that the Swamping Argument fails. Parity of reasoning yields the disastrous conclusion that nonfactive epistemic properties – mostly saliently justification (...) – are never epistemically valuable properties of a belief. We close by diagnosing why philosophers have been mistakenly attracted to the argument. (shrink)
Jonathan Kvanvig has recently attempted to reconcile the problem of (apparently) pointless truths with the claim that the value of truth is unrestricted—that truth is always and everywhere valuable. In this paper, I critically evaluate Kvanvig’s argument and show it to be defective at a crucial juncture. I propose my own alternative strategy for generating Kvanvig’s result—an alternative that parts ways with Kvanvig’s own conception of the cognitively ideal.
The Neo-Moorean response to the radical skeptical challenge boldly maintains that we can know we’re not the victims of radical skeptical hypotheses; accordingly, our everyday knowledge that would otherwise be threatened by our inability to rule out such hypotheses stands unthreatened. Given the leverage such an approach has against the skeptic from the very start, the Neo-Moorean line is an especially popular one; as we shall see, though, it faces several commonly overlooked problems. An initial problem is that this particular (...) brand of anti-skeptical strategy is available only to a theory of knowledge that will compromise itself to especially weak epistemic standards—indeed, standards as weak as our epistemic grounds are for accepting the denials of skeptical hypotheses. With this said, the aim here is to investigate whether the Neo-Moorean line could be advanced against the skeptic in a way that wouldn’t require wholesale lowering of epistemic standards. Unfortunately, as we’ll see, Sosa’s (2007; 2009) view as well as what I argue to be the other two most plausible contender-views for maintaining a Neo-Moorean line—Greco’s and Pritchard’s—run (for similar reasons) into dead ends. The way forward, I’ll argue, is to take on board a unique variety of robust virtue epistemology according to which knowledge is thought to be situated a certain way within a gradient balance between ability and luck. (shrink)
We show that the contemporary debate surrounding the question “What is the norm of assertion?” presupposes what we call the quantitative view, i.e. the view that this question is best answered by determining how much epistemic support is required to warrant assertion. We consider what Jennifer Lackey ( 2010 ) has called cases of isolated second-hand knowledge and show—beyond what Lackey has suggested herself—that these cases are best understood as ones where a certain type of understanding , rather than knowledge, (...) constitutes the required epistemic credential to warrant assertion. If we are right that understanding (and not just knowledge) is the epistemic norm for a restricted class of assertions, then this straightforwardly undercuts not only the widely supposed quantitative view, but also a more general presupposition concerning the universalisability of some norm governing assertion—the presumption (almost entirely unchallenged since Williamson’s 1996 paper) that any epistemic norm that governs some assertions should govern assertions—as a class of speech act—uniformly. (shrink)
Abstract Throughout his works, St. Augustine offers at least nine distinct views on the nature of time, at least three of which have remained almost unnoticed in the secondary literature. I first examine each these nine descriptions of time and attempt to diffuse common misinterpretations, especially of the views which seek to identify Augustinian time as consisting of an un-extended point or a distentio animi . Second, I argue that Augustine's primary understanding of time, like that of later medieval scholastics, (...) is that of an accident connected to the changes of created substances. Finally, I show how this interpretation has the benefit of rendering intelligible Augustine's contention that, at the resurrection, motion will still be able to occur, but not time. (shrink)
This article discusses the role of diagrams in mathematical reasoning in the light of a case study in analysis. In the example presented certain combinatorial expressions were first found by using diagrams. In the published proofs the pictures were replaced by reasoning about permutation groups. This article argues that, even though the diagrams are not present in the published papers, they still play a role in the formulation of the proofs. It is shown that they play a role in concept (...) formation as well as representations of proofs. In addition we note that 'visualization' is used in two different ways. In the first sense 'visualization' denotes our inner mental pictures, which enable us to see that a certain fact holds, whereas in the other sense 'visualization' denotes a diagram or representation of something. (shrink)
This paper considers the increasingly common suggestion that a new form of warfare has emerged. It clarifies the notion of new wars and responds to an argument for the claim that in order to achieve military parity non-state actors must violate just war principles. I reject the claim that violation of just war principles is necessary and argue that we can make reasonable normative judgments about new wars in terms of just war theory. From there, I consider the possibility that (...) military parity can be achieved in a way that does not violate these principles and argue that it is permissible for relatively weak non-state actors to fight with fewer restrictions than conventional states. (shrink)
Anti-luck epistemology is an approach to analyzing knowledge that takes as a starting point the widely-held assumption that knowledge must exclude luck. Call this the anti-luck platitude. As Duncan Pritchard (2005) has suggested, there are three stages constituent of anti-luck epistemology, each which specifies a different philosophical requirement: these stages call for us to first give an account of luck; second, specify the sense in which knowledge is incompatible with luck; and finally, show what conditions must be satisfied in order (...) to block the kind of luck with which knowledge was argued to be incompatible. What Iâll show here is that the modal account of luck offers a plausible story at the first stage and leads naturally to equally plausible lines to take at the second and third stages, at which a safety condition on knowledge is squarely motivated. There are, however, recent challengesâadvanced by Jonathan Kvanvig (Philosophy and Phenomenological Research 77: 272â281, 2008); Kelly Becker (2007); and Jennifer Lackey (Australasian Journal of Philosophy 86(2):255â267, 2008), among othersâto the plausibility of the safety-based anti-luck project Iâve sketched here at each of its three stages of development. Once Iâve made precise the challenges, Iâll show why none implies that we abandon the commitments of the safety-based anti-luck project at any of its stages. What we should conclude, then, is that a safety-condition on knowledge is motivated by independently defensible accounts of (1) what luck is; and (2) just how knowledge should be thought incompatible with it. (shrink)
Abstract Do the central aims of epistemology, like those of moral philosophy, require that we designate some important place for those concepts located between the thin-normative and the non-normative? Put another way, does epistemology need ?thick? evaluative concepts? There are inveterate traditions in analytic epistemology which, having legitimized a certain way of viewing the nature and scope of epistemology's subject matter, give this question a negative verdict; further, they have carried with them a tacit commitment to what we argue to (...) be an epistemic analogue of the reductionistic centralist thesis that Bernard Williams in our view successfully challenged in ethics. In this essay, we challenge these traditional dogmas and in doing so align ourselves with what has been recently called the ?Value Turn? in epistemology. From this perspective, we defend that, contrary to tradition, epistemology does need thick evaluative concepts. Further, the sort of theories that will be able to give thick evaluative concepts a deservedly central role in both belief and agent evaluation are those non-centralist projects that fall within what we call the second-wave of virtue epistemology. We recognize that, in breaking from centralism, there is a worry that a resulting anti-centralist theory will be reductionistic in the other direction- making the thick primary. We contend however that second-wave virtue epistemologies should be thought to provide the wave of the right thickness, and as such, constitute the most promising approaches within a field that has become increasingly more normative, diverse and expansive than was the traditional set of problems from which it emerged. (shrink)
This paper discusses the notion of necessity in the light of results from contemporary mathematical practice. Two descriptions of necessity are considered. According to the first, necessarily true statements are true because they describe ‘unchangeable properties of unchangeable objects’. The result that I present is argued to provide a counterexample to this description, as it concerns a case where objects are moved from one category to another in order to change the properties of these objects. The second description concerns necessary (...) ‘structural properties’. Although I grant that mathematical statements could be considered as necessarily true in this sense, I question whether this justifies the claim that mathematics as a whole is necessary. (shrink)
This paper compares the statement ‘Mathematics is the study of structure’ with the actual practice of mathematics. We present two examples from contemporary mathematical practice where the notion of structure plays different roles. In the first case a structure is defined over a certain set. It is argued firstly that this set may not be regarded as a structure and secondly that what is important to mathematical practice is the relation that exists between the structure and the set. In the (...) second case, from algebraic topology, one point is that an object can be a place in different structures. Which structure one chooses to place the object in depends on what one wishes to do with it. Overall the paper argues that mathematics certainly deals with structures, but that structures may not be all there is to mathematics. (shrink)
. This paper identifies two aspects of the structuralist position of S. Shapiro which are in conflict with the actual practice of mathematics. The first problem follows from Shapiros identification of isomorphic structures. Here I consider the so called K-group, as defined by A. Grothendieck in algebraic geometry, and a group which is isomorphic to the K-group, and I argue that these are not equal. The second problem concerns Shapiros claim that it is not possible to identify objects in a (...) structure except through the relations and functions that are defined on the structure in which the object has a place. I argue that, in the case of the definition of the so called direct image of a function, it is possible to individuate objects in structures. (shrink)
The aim of this paper is to identify some of the motivations that can be found for taking a realist position concerning mathematical entities and to examine these motivations in the light of a case study in contemporary mathematics. The motivations that are found are as follows: (some) mathematicians are realists, mathematical statements are true, and finally, mathematical statements have a special certainty. These claims are compared with a result in algebraic topology stating that a certain sequence, the so-called Mayer-Vietoris (...) sequence, has different properties when placed in different categories. The conclusion is that the before mentioned motivations should be modified and it is suggested that they could also be explained by a position claiming that mathematical entities are introduced by mathematicians. (shrink)
In this paper I propose a position in the ontology of mathematics which is inspired mainly by a case study in the mathematical discipline if-theory. The main theses of this position are that mathematical objects are introduced by mathematicians and that after mathematical objects have been introduced, they exist as objectively accessible abstract objects.
