How to be a minimalist about sets

According to the iterative conception of set, sets can be arranged in a cumulative hierarchy divided into levels. But why should we think this to be the case? The standard answer in the philosophical literature is that sets are somehow constituted by their members. In the first part of the paper, I present a number of problems for this answer, paying special attention to the view that sets are metaphysically dependent upon their members. In the second part of the paper, I outline a different approach, which circumvents these problems by dispensing with the priority or dependence relation altogether. Along the way, I show how this approach enables the mathematical structuralist to defuse an objection recently raised against her view.     

Regress,unity, facts,and propositions

The problem, or cluster of problems, of the unity of the proposition, along with the cluster of problems that tend to go under the name of Bradley’s regress, has recently again become a going concern for philosophers, after having for some time been regarded as primarily of historical interest. In this paper, I distinguish between the different problems that tend to be brought up under the heading of the unity of the proposition, and between different related regress arguments. I present my favored solutions to these problems.

     

Direct perception and the predictive mind

Predictive approaches to the mind claim that perception, cognition, and action can be understood in terms of a single framework: a hierarchy of Bayesian models employing the computational strategy of predictive coding. Proponents of this view disagree, however, over the extent to which perception is direct on the predictive approach. I argue that we can resolve these disagreements by identifying three distinct notions of perceptual directness: psychological, metaphysical, and epistemological. I propose that perception is plausibly construed as psychologically indirect on the predictive approach, in the sense of being constructivist or inferential. It would be wrong to conclude from this, however, that perception is therefore indirect in a metaphysical or epistemological sense on the predictive approach. In the metaphysical case, claims about the inferential properties of constructivist perceptual mechanisms are consistent with both direct and indirect solutions to the metaphysical problem of perception (e.g. naïve realism, representationalism, sense datum theory). In the epistemological case, claims about the inferential properties of constructivist perceptual mechanisms are consistent with both direct and indirect approaches to the justification of perceptual belief. In this paper, I demonstrate how proponents of the predictive approach have conflated these distinct notions of perceptual directness and indirectness, and I propose alternative strategies for developing the philosophical consequences of the approach.     

Human knowledge and the infinite progress of reasoning

The purpose of this paper is to explain how infinitism—the view that reasons are endless and non-repeating—solves the epistemic regress problem and to defend that solution against some objections. The first step is to explain what the epistemic regress problem is and, equally important, what it is not. Second, I will discuss the foundationalist and coherentist responses to the regress problem and offer some reasons for thinking that neither response can solve the problem, no matter how they are tweaked. Then, I want to present the infinitist solution to the problem and defend it against some of the well known objections to it.     

Other minds embodied

I distinguish three kinds of other minds problems—conceptual, epistemological and empirical. I argue that while Merleau-Ponty believes embodiment helps with tackling the conceptual and epistemological problems, he suggests that it is of no clear use in solving (an important variant of) the empirical problem. I sketch some considerations that could lend support to Merleau-Ponty’s claims about the conceptual and epistemological problems, without claiming that these are conclusive. I then proceed to argue that Merleau-Ponty’s take on the empirical problem is essentially correct.     

Experiences,Seemings, and Perceptual Justification

Several philosophers have distinguished between three distinct mental states that play a role in visual recognition: experiences, propositional seemings, and beliefs. I clarify and offer some reasons for drawing this three-fold distinction, and I consider its epistemological implications. Some philosophers have held that propositional seemings always confer prima facie justification, regardless of a particular seeming's relation to experience. I add to criticisms of this view in the literature by arguing that it fails to solve a version of the ‘problem of the speckled hen’. A more promising view holds that propositional seemings confer justification only when appropriately related to experiences. I offer advice for developing such an account.     

Husserl,Phenomenology, and Foundationalism

Husserl is often taken, and not without reason, to endorse the view that phenomenology's task is to provide the “absolute foundation” of human knowledge. In this paper, I will argue that the most natural interpretation of this view, namely that all human knowledge depends for its justification, at least in part, on phenomenological knowledge, is philosophically untenable. I will also present evidence that Husserl himself held no such view, and will argue that Dan Zahavi and John Drummond, though reaching the same conclusion, reach it for the wrong reasons. In the process, I will also defend a brand of epistemological externalism according to which knowledge does not depend upon knowing the epistemic principles under which one's knowledge falls, and argue that Husserl himself held such a view. I conclude with a discussion of a few of the ways in which phenomenology positively contributes to human knowledge.     

How to solve the problem of phenomenal unity: finding alternatives to the single state conception

The problem of phenomenal unity (PPU) consists in providing a phenomenological characterization of the difference between phenomenally unified and disunified conscious experiences. Potential solutions to PPU are faced with an important challenge (which Tim Bayne calls the “explanatory regress objection”). I show that this challenge can be conceived as a phenomenological dual to what is known as Bradley’s regress. This perspective (i) facilitates progress on PPU by finding duals to possible solutions to Bradley’s regress and (ii) makes it intelligible why many characterize phenomenal unity in terms of the existence of a single global conscious state. I call this latter view the “single state conception” (SSC). SSC is superficially attractive, because it seems to provide a solution to the phenomenological dual to Bradley’s regress, but should still be rejected, because (1) it does not solve PPU; (2) instead, it creates more problems; (3) these problems can be avoided by alternative conceptions of phenomenal unity.     

Criteria for indefeasible knowledge: John Mcdowell and ‘epistemological disjunctivism’

Duncan Pritchard has recently defended a view he calls ‘epistemological disjunctivism’, largely inspired by John McDowell. I argue that Pritchard is right to associate the view with McDowell, and that McDowell’s ‘inference-blocking’ argument against the sceptic succeeds only if epistemological disjunctivism is accepted. However, Pritchard also recognises that epistemological disjunctivism appears to conflict with our belief that genuine and illusory experiences are indistinguishable (the ‘distinguishability problem’). Since the indistinguishability of experiences is the antecedent in the inference McDowell intends to block, I suggest that his argument rests on an inconsistent set of premises. In support of this, I show that Pritchard’s response to the distinguishability problem is incompatible with the conclusion of the ‘inference-blocking’ argument, and that the response available in McDowell’s work relies on a mistaken conception of fallibility. Either McDowell must deny the sceptic’s premise that perceptual experiences are indistinguishable, or he must give up his conclusion that perceptual warrant can be indefeasible.     

Affective States and Epistemic Immediacy

This article defends the view that an adequate response to some central epistemological problems requires us to find a role for emotions and other affective states in epistemic evaluation and also to invoke virtuous traits of character in order to explain how these affective evaluations are regulated. The argument is based on the need for some epistemic evaluations to possess a kind of immediacy, if we are not to face a worrying regress. The closing sections support the claim that epistemic evaluation depends upon appropriate character traits though a discussion of what is involved in being observant .     

Affective States and Epistemic Immediacy

This article defends the view that an adequate response to some central epistemological problems requires us to find a role for emotions and other affective states in epistemic evaluation and also to invoke virtuous traits of character in order to explain how these affective evaluations are regulated. The argument is based on the need for some epistemic evaluations to possess a kind of immediacy, if we are not to face a worrying regress. The closing sections support the claim that epistemic evaluation depends upon appropriate character traits though a discussion of what is involved in being observant .     

Feminist Epistemology, Contextualism, and Philosophical Skepticism

Abstract: This essay explores the relation between feminist epistemology and the problem of philosophical skepticism. Even though feminist epistemology has not typically focused on skepticism as a problem, I argue that a feminist contextualist epistemology may solve many of the difficulties facing recent contextualist responses to skepticism. Philosophical skepticism appears to succeed in casting doubt on the very possibility of knowledge by shifting our attention to abnormal contexts. I argue that this shift in context constitutes an attempt to exercise unearned social and epistemic power and that it should be resisted on epistemic and pragmatic grounds. I conclude that skepticism is a problem that feminists can and should take up as they address the social aspects of traditional epistemological problems.     

Epistemological Misgivings of Karen Barad’s ‘Posthumanism’

Karen Barad develops a view she calls ‘posthumanism,’ or ‘agential realism,’ where the human is reconfigured away from the central place of explanation, interpretation, intelligibility, and objectivity to make room for the epistemic importance of other material agents. Barad is not alone in this kind of endeavor, but her posthumanism offers a unique epistemological position. Her aim is to take a performative rather than a representationalist approach to analyzing ‘socialnatural’ practices and challenge methodological assumptions that may go unnoticed in some disciplinary fields. Yet for all the good of the challenge, Barad must support it with sound epistemological theorizing, theorizing that would apply to any methodology, whether that be sociological, historical, anthropological, or philosophical. Thus, where one might critique Barad on her assessments of sociological, historical, or anthropological incorporations of humans and the nonhuman, I critique Barad’s epistemology on its sense of objectivity and dismissal of the centrality of the human. I argue that Barad’s epistemology must retain a particular form of humanism, a humanism that stakes human subjectivity as the locus of rationality and objectivity, without which it creates intractable problems. To recuperate Barad’s challenge to contest assumptive distinctions while avoiding her epistemological problems, I offer some parting reflections.     

Epistemological motivations for anti-realism

Anti-realism is often claimed to be preferable to realism on epistemological grounds: while realists have difficulty explaining how we can ever know claims if we are realists about it, anti-realism faces no analogous problem. This paper focuses on anti-realism about normativity to investigate this alleged advantage to anti-realism in detail. I set up a framework in which a version of anti-realism explains a type of modal reliability that appears to be epistemologically promising, and plausibly explains the appearance of an epistemological advantage to realism. But, I argue, this appearance is illusory, and on closer investigation the anti-realist view does not succeed in explaining the presence of familiar epistemological properties for normative belief like knowledge or the absence of defeat. My conclusion on the basis of this framework is that there is a tension in the anti-realist view between the urge to idealize the conditions in which normative beliefs ground normative facts, and a robust kind of reliability that normative belief can have if the anti-realist resists these idealizations.     

On the regress problem of deciding how to decide

Any decision is made in some way or another. Which way? (Have I worked out enough alternatives to choose from? Which decision rule to apply?) That is a higher-order decision problem, to be dealt with in some way or other. Which way? That is an even higher-order decision problem. There seems to be a regress of decision problems toward higher and higher orders. But in daily life we stop moving to higher-order decision problems—stop the regress—at some finite point. The regress problem of deciding how to decide is the problem of explaining what would make it rational to stop the regress. I will give a new solution in the present paper. The result suggests a new way of looking at standard Bayesian theory and the more recent theory of adaptive rationality.     

Scepticism,epistemic luck,and epistemic angst

A commonly expressed worry in the contemporary literature on the problem of epistemological scepticism is that there is something deeply intellectually unsatisfying about the dominant anti-sceptical theories. In this paper I outline the main approaches to scepticism and argue that they each fail to capture what is essential to the sceptical challenge because they fail to fully understand the role that the problem of epistemic luck plays in that challenge. I further argue that scepticism is best thought of not as a quandary directed at our possession of knowledge simpliciter, but rather as concerned with a specific kind of knowledge that is epistemically desirable. On this view, the source of scepticism lies in a peculiarly epistemic form of angst.

It is always by favour of Nature that one knows something.     

Regress Argument Reconstruction

If an argument can be reconstructed in at least two different ways, then which reconstruction is to be preferred? In this paper I address this problem of argument reconstruction in terms of Ryle’s infinite regress argument against the view that knowledge-how requires knowledge-that. First, I demonstrate that Ryle’s initial statement of the argument does not fix its reconstruction as it admits two, structurally different reconstructions. On the basis of this case and infinite regress arguments generally, I defend a revisionary take on argument reconstruction: argument reconstruction is mainly to be ruled by charity (viz. by general criteria which arguments have to fulfil in order to be good arguments) rather than interpretation.     

Discernibility by Symmetries

In this paper I introduce a novel strategy to deal with the indiscernibility problem for ante rem structuralism. The ante rem structuralist takes the ontology of mathematics to consist of abstract systems of pure relata. Many of such systems are totally symmetrical, in the sense that all of their elements are relationally indiscernible, so the ante rem structuralist seems committed to positing indiscernible yet distinct relata. If she decides to identify them, she falls into mathematical inconsistency while, accepting their distinctness, she finds herself unable to account for it. I show that the ante rem structuralist has in fact the resources to account for the distinctness of indiscernibles and that these resources come from the very symmetry properties of the mathematical objects that seem to pose problems for her.