This book concerns the foundations of epistemic modality and hyperintensionality and their applications to the philosophy of mathematics. I examine the nature of epistemic modality, when the modal operator is interpreted as concerning both apriority and conceivability, as well as states of knowledge and belief. The book demonstrates how epistemic modality and hyperintensionality relate to the computational theory of mind; metaphysical modality and hyperintensionality; the types of mathematical modality and hyperintensionality; to the epistemic status of large cardinal axioms, undecidable propositions, (...) and abstraction principles in the philosophy of mathematics; to the modal and hyperintensional profiles of the logic of rational intuition; and to the types of intention, when the latter is interpreted as a hyperintensional mental state. Chapter 2 argues for a novel type of expressivism based on the duality between the categories of coalgebras and algebras, and argues that the duality permits of the reconciliation between modal cognitivism and modal expressivism. I also develop a novel topic-sensitive truthmaker semantics for dynamic epistemic logic, and develop a novel dynamic epistemic two-dimensional hyperintensional semantics. Chapter 3 provides an abstraction principle for epistemic (hyper-)intensions. Chapter 4 advances a topic-sensitive two-dimensional truthmaker semantics, and provides three novel interpretations of the framework along with the epistemic and metasemantic. Chapter 5 applies the fixed points of the modal μ-calculus in order to account for the iteration of epistemic states in a single agent, by contrast to availing of modal axiom 4 (i.e. the KK principle). The fixed point operators in the modal μ-calculus are rendered hyperintensional, which yields the first hyperintensional construal of the modal μ-calculus in the literature and the first application of the calculus to the iteration of epistemic states in a single agent instead of the common knowledge of a group of agents. Chapter 6 advances a solution to the Julius Caesar problem based on Fine's `criterial' identity conditions which incorporate conditions on essentiality and grounding. Chapter 7 provides a ground-theoretic regimentation of the proposals in the metaphysics of consciousness and examines its bearing on the two-dimensional conceivability argument against physicalism. The topic-sensitive epistemic two-dimensional truthmaker semantics developed in chapters 2 and 4 are availed of in order for epistemic states to be a guide to metaphysical states in the hyperintensional setting. -/- Chapters 8-12 provide cases demonstrating how the two-dimensional hyperintensions of hyperintensional, i.e. topic-sensitive epistemic two-dimensional truthmaker, semantics, solve the access problem in the epistemology of mathematics. Chapter 8 examines the interaction between my hyperintensional semantics and the axioms of epistemic set theory, large cardinal axioms, the Epistemic Church-Turing Thesis, the modal axioms governing the modal profile of Ω-logic, Orey sentences such as the Generalized Continuum Hypothesis, and absolute decidability. These results yield inter alia the first hyperintensional Epistemic Church-Turing Thesis and hyperintensional epistemic set theories in the literature. Chapter 9 examines the modal and hyperintensional commitments of abstractionism, in particular necessitism, and epistemic hyperintensionality, epistemic utility theory, and the epistemology of abstraction. I countenance a hyperintensional semantics for novel epistemic abstractionist modalities. I suggest, too, that observational type theory can be applied to first-order abstraction principles in order to make first-order abstraction principles recursively enumerable, i.e. Turing machine computable, and that the truth of the first-order abstraction principle for hyperintensions is grounded in its being possibly recursively enumerable and the machine being physically implementable. Chapter 10 examines the philosophical significance of hyperintensional Ω-logic in set theory and discusses the hyperintensionality of metamathematics. Chapter 11 provides a modal logic for rational intuition and provides a hyperintensional semantics. Chapter 12 avails of modal coalgebras to interpret the defining properties of indefinite extensibility, and avails of hyperintensional epistemic two-dimensional semantics in order to account for the interaction between the interpretational and objective modalities and truthmakers thereof. This yields the first hyperintensional category theory in the literature. I invent a new mathematical trick in which first order structures are treated as categories, and Vopenka's principle can be satisfied because of the elementary embeddings between the categories and generate Vopenka cardinals while bypassing the category of Set in category theory. Chapter 13 examines modal responses to the alethic paradoxes. Chapter 14 examines, finally, the modal and hyperintensional semantics for the different types of intention and the relation of the latter to evidential decision theory. (shrink)

Both advocates and critics of experimental philosophy often describe it in narrow terms as being the empirical study of people’s intuitions about philosophical cases. This conception corresponds with a narrow origin story for the field—it grew out of a dissatisfaction with the uncritical use of philosophers’ own intuitions as evidence for philosophical claims. In contrast, a growing number of experimental philosophers have explicitly embraced a broad conception of the sub-discipline, which treats it as simply the use of empirical methods to (...) inform philosophical problems. And this conception has a corresponding broad origin story—the field grew out of a recognition that philosophers often make empirical claims and that empirical claims call for empirical support. In this paper, I argue that the broad conception should be accepted, offering support for the broad origin story. (shrink)

Thought experiments play a role in science and in some central parts of contemporary philosophy. They used to play a larger role in philosophy of science, but have been largely abandoned as part of the field’s “practice turn”. This chapter discusses possible roles for thought experimentation within a practice-oriented philosophy of science. Some of these roles are uncontroversial, such as exemplification and aiding discovery. A more controversial role is the reliance on thought experiments to justify philosophical claims. It is proposed (...) that if we adopt an underlying empiricist view of concepts, then thought experiments can be seen as affording us contact with scientific practice, despite their seemingly a priori character. The advantages and drawbacks of thought experiments are discussed via comparison with case studies, on the one, and simulations on the other hand. The chapter closes with some remarks on how to combine thought experiments with other methods. (shrink)

Traditionally, conceptual thinking is explored via philosophical analysis or psychological experimentation. We seek to complement these mainstream approaches with the perspective of a first person exploration into pure thinking. To begin with, pure thinking is defined as a process and differentiated from its content, the concepts itself. Pure thinking is an active process and not a series of associative thought-events; we participate in it, we immerse ourselves within its active performance. On the other hand, concepts are also of an experiential (...) nature. And yet, little is known about what is it like to have or produce a thought, a concept, or an idea? Is a concept our own construction, a product of our own activity, or is it something we merely discover instead of producing it? We address these issues in a systematic first person enquiry into pure thinking. (shrink)

It’s constitutive of classical theism that there is a necessarily existent personal god who is also the creator of the universe, where the latter claim includes at least the following three theses: (i) God is wholly distinct from the natural world; (ii) God is the originating or sustaining cause of the natural world; and (iii) God created the natural world ex nihilo, i.e., without the use of pre-existing materials. Call this tripartite component of classical theism the classical view of creation. (...) In this paper, I offer a new argument against classical theism. In particular, I argue that creation ex nihilo is prima facie impossible, and that since the doctrine of creation ex nihilo is constitutive of classical theism, classical theism is false. (shrink)

This essay aims to provide a modal logic for rational intuition. Similarly to treatments of the property of knowledge in epistemic logic, I argue that rational intuition can be codified by a modal operator governed by the modal $\mu$-calculus. Via correspondence results between fixed point modal propositional logic and the bisimulation-invariant fragment of monadic second-order logic, a precise translation can then be provided between the notion of 'intuition-of', i.e., the cognitive phenomenal properties of thoughts, and the modal operators regimenting the (...) notion of 'intuition-that'. I argue that intuition-that can further be shown to entrain conceptual elucidation, by way of figuring as a dynamic-interpretational modality which induces the reinterpretation of both domains of quantification and the intensions and hyperintensions of mathematical concepts that are formalizable in monadic first- and second-order formal languages. Hyperintensionality is countenanced via a topic-sensitive epistemic two-dimensional truthmaker semantics. (shrink)

Thought experiments figure prominently in contemporary epistemology. Beyond that humdrum observation, controversy abounds. The aim of this paper is to make progress on two fronts. On the descriptive front, the aim is to illuminate what the practice of using thought experiments involves. On the normative front, the aim is to illuminate what the practice of using thought experiments should involve. Thought experiments result in judgments that are passed on to further philosophical reasoning. What are these judgments? What is the point (...) of making them? What basis do we have for making them? A conception of thought experiments includes answers to these three questions. My thesis is that epistemologists should use thought experiments in accordance with a conception of them organized around the idea of explanation. My case for endorsing the thesis rests on the fruitfulness of the interventions in current debates about the content, point, and basis of thought experiment judgments that it suggests. (shrink)

This volume announces a new era in the philosophy of God. Many of its contributions work to create stronger links between the philosophy of God, on the one hand, and mathematics or metamathematics, on the other hand. It is about not only the possibilities of applying mathematics or metamathematics to questions about God, but also the reverse question: Does the philosophy of God have anything to offer mathematics or metamathematics? The remaining contributions tackle stereotypes in the philosophy of religion. The (...) volume includes 35 contributions. It is divided into nine parts: 1. Who Created the Concept of God; 2. Omniscience, Omnipotence, Timelessness and Spacelessness of God; 3. God and Perfect Goodness, Perfect Beauty, Perfect Freedom; 4. God, Fundamentality and Creation of All Else; 5. Simplicity and Ineffability of God; 6. God, Necessity and Abstract Objects; 7. God, Infinity, and Pascal's Wager; 8. God and (Meta-)Mathematics; and 9. God and Mind. (shrink)

The chapter discusses the issue of how we may achieve knowledge of essence. It offers a critical survey of the main theories of knowledge of essence that have been proposed within contemporary debates, particularly by Lowe, Hale, Oderberg, Elder, and Kment.

This thesis develops a novel framework for explaining delusions. In Chapter 1, I introduce the two fundamental challenges posed by delusions: the evidence challenge lies in explaining the flagrant ways delusions flout evidence; and the specificity challenge lies in explaining the fact that patients’ delusions are often about a few specific themes, and patients rarely have a wide range of delusional or odd beliefs. In Chapter 2, I discuss the strengths and weaknesses of current theories of delusions, which typically appeal (...) to one or both of two factors: anomalous experience and reasoning abnormality. I argue that anomalous experience can help explain the specificity of delusions, but has difficulties in addressing the evidence challenge; reasoning abnormality can help address the evidence challenge, but has difficulties in explaining the specificity of delusions. This suggests that there may be an important factor that has not been captured by current theories of delusions. To search for this missing factor, in Chapter 3, I turn to normal believing. Inspired by the literature on Cartesian clarity and phenomenal dogmatism, I develop a dual-force framework of believing, according to which beliefs can be understood as the results of the interaction between the justificatory force and causal force of evidence and the justificatory force and causal force of clear experience, in which something clearly seems to be so to the subject. This framework suggests that the missing factor may be the clear experience with its distinctive phenomenal clarity that compels assent. In Chapter 4, I return to delusions, and argue that the dualforce framework can help us to get a better grip on some personal descriptions of delusions; make progress in addressing the evidence and specificity challenges of delusions; and shed new light on the underpinnings of delusions. In the end, I conclude with some remaining questions for future study. (shrink)

This chapter focuses on the relationship between consciousness and knowledge, and in particular on the role perceptual consciousness might play in justifying beliefs about the external world. We outline a version of phenomenal dogmatism according to which perceptual experiences immediately, prima facie justify certain select parts of their content, and do so in virtue of their having a distinctive phenomenology with respect to those contents. Along the way we take up various issues in connection with this core theme, including the (...) possibility of immediate justification, the dispute between representational and relational views of perception, the epistemic significance of cognitive penetration, the question of whether perceptual experiences are composed of more basic sensations and seemings, and questions about the existence and epistemic significance of high-level content. In a concluding section we briefly consider how some of the topics pursued here might generalize beyond perception. (shrink)

This work investigates intuitions' nature, demonstrating how philosophers can best use them in epistemology. First, the author considers several paradigmatic thought experiments in epistemology that depict the appeal to intuition. He then argues that the nature of thought experiment-generated intuitions is not best explained by an a priori Platonism. Second, the book instead develops and argues for a thin conception of epistemic intuitions. The account maintains that intuition is neither a priori nor a posteriori but multi-dimensional. It is an intentional (...) but non-propositional mental state that is also non-conceptual and non-phenomenal in nature. Moreover, this state is individuated by its progenitor, namely, the relevant thought experiment. Third, the author provides an argument for the evidential status of intuitions based on the correct account of the nature of epistemic intuition. The suggestion is the fitting-ness approach: intuition alone has no epistemic status. Rather, intuition has evidentiary value as long as it fits well with other pieces into a whole, namely, the pertinent thought experiment. Finally, the book addresses the key challenges raised by supporters of anti-centrality, according to which philosophers do not regard intuition as central evidence in philosophy. To that end, the author responds to them, showing that they fail to affect the account of intuition developed in this book. This text appeals to students and researchers working in epistemology. (shrink)

Dogmatism holds that an experience or seeming that p can provide prima facie immediate justification for believing p in virtue of its phenomenology. Dogmatism about perceptual justification has appealed primarily to proponents of representational theories of perceptual experience. Call dogmatism that takes perceptual experience to be representational "representational phenomenal dogmatism." As we show, phenomenal seemings play a crucial role in dogmatism of this kind. Despite its conventional appeal to representational theorists, dogmatism is not by definition committed to any particular view (...) of perceptual experience. Naive realists and disjunctivists who hold that perceptual experience is a perceptual relation of direct acquaintance can also endorse dogmatism. Indeed, we argue that they ought to do so. Otherwise, they cannot maintain that relationalism about perceptual experience has an epistemic advantage compared to the representational view. We then show that even if we grant that relationalism has this advantage, only dogmatism that takes perceptual experience to be representational can be extended to account for non-deductive inferential justification. As an account of the latter is required to avoid succumbing to skepticism, relationalism, we argue, does not have the epistemic advantage its defenders claim it has. (shrink)

Many people have recently argued that we need to distinguish between experiences and seemings and that this has consequences for views about how perception provides evidence. In this article I spell out my take on these issues by doing three things. First, I distinguish between mere sensations like seeing pitch black all around you and perceptual experiences like seeing a red apple. Both have sensory phenomenology in presenting us with sensory qualities like colors, being analog in Dretske's sense, and being (...) fine-grained. However, only the latter have furthermore a perceptual phenomenology characterized by objectification and related dualities of perspectivality/completion and variation/constancy. Second, I elaborate on the reasons for thinking that both mere sensations and perceptual experiences need to be distinguished from accompanying seemings that passively assign things into conceptual categories and thereby tell you something about them. For example, when you look at a red apple and have the relevant recognitional abilities it will also normally seem to you that this is an apple. Finally, I argue that the best version of the popular dogmatist view about evidence is one which claims that it's neither experiences nor seemings by themselves, but rather the right sorts of composites of experiences and seemings that provide evidence. (shrink)

In previous work, I have suggested a doxastic account of perceptual experience according to which experiences form a kind of belief: Beliefs with what I have called “phenomenal” or “looks-content”. I have argued that this account can not only accommodate the intuitive reason providing role of experience, but also its justificatory role. I have also argued that, in general, construing experience and perceptual beliefs, i.e. the beliefs most directly based on experience, as having different contents best accounts for the defeasibility (...) of experiential reasons. In this paper, I shall have a closer look at the evidential or inferential relation between looks-propositions and the contents of perceptual beliefs and argue for a form of what I shall call “Pollockianism” about experiential reasons: such reasons are good unless defeated. Questions to be investigated include: Does the resulting picture of perceptual justification contain an externalist element? Is it compatible with Bayesianism? And how does it do with respect to problems that have been raised for other forms of Pollockianism such as dogmatism or phenomenal conservatism? (shrink)

The aim of this paper is twofold. The first is an interpretative one as I wish to provide a detailed account of Husserl’s conception of experiential justification. Here Ideas I and Introduction to Logic and Theory of Knowledge: Lectures 1906/07 will be my main resources. My second aim is to demonstrate the currency and relevance of Husserl’s conception. This means two things: Firstly, I will show that in current debates in analytic epistemology there is a movement sharing with Husserl the (...) basic idea that certain experiences gain their justificatory force simply from their distinctive phenomenal character. Secondly, I shall reveal the benefits of Husserl’s specific version of this view. Thus, one of my aims is to show that debates in current analytic epistemology could profit from adopting certain Husserlian elements. More precisely, I will defend Husserl’s claim that perceptual experiences are justifiers due to their self-giving phenomenal character as opposed to the currently popular view that it is the phenomenology of pushiness that makes them justifiers. To put it differently, what matters is what is originally given within experience and not how you feel about what is given. (shrink)

According to the inferential view of language comprehension, we hear a speaker’s utterance and infer what was said, drawing on our competence in the syntax and semantics of the language together with background information. On the alternative perceptual view, fluent speakers have a non-inferential capacity to perceive the content of speech. On this view, when we hear a speaker’s utterance, the experience confers some degree of justification on our beliefs about what was said in the absence of defeaters. So, in (...) the absence of defeaters, we can come to know what was said merely on the basis of hearing the utterance. Several arguments have been offered against a pure perceptual view of language comprehension, among others, arguments pointing to its alleged difficulties accounting for homophones and the context-sensitivity of ordinary language. After responding to the arguments against the perceptual view of language comprehension, I provide a new argument in favor of the perceptual view by looking closer at the dependence of the justificatory qualities of experience on the notion of a defeater as well as the perceptual nature of language learning and language processing. (shrink)

As an important view in the epistemology of perception, dogmatism proposes that for any experience, if it has a distinctive kind of phenomenal character, then it thereby provides us with immediate justification for beliefs about the external world. This paper rejects dogmatism by looking into the epistemology of imagining. In particular, this paper first appeals to some empirical studies on perceptual experiences and imaginings to show that it is possible for imaginings to have the distinctive phenomenal character dogmatists have in (...) mind. Then this paper argues that some of these imaginings fail to provide us with immediate justification for beliefs about the external world at least partly due to their inappropriate etiology. Such imaginings constitute counterexamples to dogmatism. (shrink)

The notion of presentational phenomenology has powerful epistemological implications. According to Elijah Chudnoff, an experience has presentational phenomenology with respect to p insofar as that experience makes it seem to you that p, and makes it seem as if you are aware of a truth-maker for p. Chudnoff argues that only experiences that have presentational phenomenology with respect to p provide immediate prima facie justification to the belief that p. That is, my visual experience of the orange provides me with (...) defeasible justificatory grounds for believing that there is an orange by virtue of that experience possessing presentational phenomenology. Call this epistemological thesis presentationalism. The central purpose of this paper is to provide a novel analysis of presentational phenomenology, and determine whether it is capable of delivering the epistemic yield detailed above. Here, I endeavour to show the following: presentational phenomenology is neither sufficient nor necessary for immediate prima facie justification, and ambiguity in Chudnoff’s analysis of presentational phenomenology leads the account to a troubling dilemma. Seemings and seeming awareness of truth-makers are not plausible candidates for justification-conferring states. (shrink)

The aim of this paper is to shed light on and develop what I call a phenomenological conception of experiential justification. According to this phenomenological conception, certain experiences gain their justificatory force from their distinctive phenomenology. Such an approach closely connects epistemology and philosophy of mind and has recently been proposed by several authors, most notably by Elijah Chudnoff, Ole Koksvik, and James Pryor. At the present time, however, there is no work that contrasts these different versions of PCEJ. This (...) paper not only bridges this gap, but also reveals problems in current versions of PCEJ. Consequently, I argue for a new version of PCEJ that focuses on what is given within experience and not on how what is given pushes me towards believing something. (shrink)

According to phenomenal conservatism or dogmatism, perceptual experiences can give us immediate justification for beliefs about the external world in virtue of having a distinctive kind of phenomenal character—namely phenomenal force. I present three cases to show that phenomenal force is neither pervasive among nor exclusive to perceptual experiences. The plausibility of such cases calls out for explanation. I argue that contrary to a long-held assumption, phenomenal force is a separate, non-perceptual state generated by some metacognitive mechanisms that monitor one’s (...) first-order mental processes and states. This new account advances our understanding of the nature of phenomenal force. (shrink)

Does phenomenal force, the distinctive phenomenology attributed to perceptual experience, really form an integral part of the latter? If not, what implications does it have for perceptual justification? In this paper, I first argue for a metacognitive account, according to which phenomenal force constitutes a separate, metacognitive state. This account opens up a previously unexplored path for challenging phenomenal conservatism or dogmatism, which has been a prominent theory of perceptual justification over the past two decades. Moreover, I investigate several alternative (...) possibilities in which phenomenal force might still be deemed as significant, but ultimately demonstrate that its epistemic role remains marginal at best. (shrink)

This essay is an attempt to explain Kantian transcendental idealism to contemporary metaphysicians and make clear its relevance to contemporary debates in what is now called ‘meta-metaphysics.’ It is not primarily an exegetical essay, but an attempt to translate some Kantian ideas into a contemporary idiom.

Many epistemologists argue that responses to disagreement should exhibit a certain kind of epistemic impartiality. “Strong conciliationists” claim that we ought to give equal weight to the views of those who, judged from a dispute-neutral perspective, appear to be our “epistemic peers” with respect to some disputed matter. Using a Bayesian framework, Chapter 8 considers whether there is a plausible epistemic impartiality principle that would require us to give up confident religious (or irreligious) belief in favor of religious skepticism. It (...) is argued that the strong conciliationist’s epistemic impartiality is untenable, at least in contexts like the religious domain where the primary questions under dispute cannot be cleanly separated from questions about what qualifications are needed to reliably assess those primary questions. The chapter recommends instead a rationalist view on which rational insight can sustain justified confidence even when impartial grounds are lacking. It closes by defending the “religious acceptability” of this rationalist epistemology. (shrink)

We argue that many intuitions do not have conscious propositional contents. In particular, many of the intuitions had in response to philosophical thought experiments, like Gettier cases, do not have such contents. They are more like hunches, urgings, murky feelings, and twinges. Our view thus goes against the received view of intuitions in philosophy, which we call Mainstream Propositionalism. Our positive view is that many thought-experimental intuitions are conscious, spontaneous, non-theoretical, non-propositional psychological states that often motivate belief revision, but they (...) require interpretation, in light of background beliefs, before a subject can form a propositional judgment as a consequence of them. We call our view Interpretationalism. We argue (i) that Interpretationalism avoids the problems that beset Mainstream Propositionalism and (ii) that our view meshes well with empirical results in contemporary cognitive science. (shrink)

This chapter assumes that intuitions must play a central role in explaining a priori justification and looks at the conditions under which they would be able to do so. It argues that if an appeal to intuitions is to help, they must provide epistemological resources that go beyond those provided by explanations in terms of epistemological analyticity (appeals to conceptual understanding). Accounts, like Ernest Sosa’s, which reduce intuitions to attractions to assent, and which give the understanding an indispensable role in (...) explaining the justificatory powers of such attractions, are unable to provide such a resource. As a result, such accounts must be rejected. Towards the end of the chapter, an alternative account of these issues is briefly presented, one that seems to the author to hold greater promise. (shrink)

The historical consensus is that logical evidence is special. Whereas empirical evidence is used to support theories within both the natural and social sciences, logic answers solely to a priori evidence. Further, unlike other areas of research that rely upon a priori evidence, such as mathematics, logical evidence is basic. While we can assume the validity of certain inferences in order to establish truths within mathematics and test scientifi c theories, logicians cannot use results from mathematics or the empirical sciences (...) without seemingly begging the question. Appeals to rational intuition and analyticity in order to account for logical knowledge are symptomatic of these commitments to the apriority and basicness of logical evidence. This chapter argues that these historically prevalent accounts of logical evidence are mistaken, and that if we take logical practice seriously we fi nd that logical evidence is rather unexceptional, sharing many similarities to the types of evidence appealed to within other research areas. (shrink)

The aim of this paper is to present an outline of a phenomenological theory of thought experiments. In doing so, I am dealing with a topic that is currently starting to receive increased attention from philosophers with phenomenological leanings. However, since no serious attempt has been made to tackle the issue in a systematic fashion, I will not merely review existing phenomenological work on thought experiments. For the most part, my paper is programmatic: its aim is to suggest some basic (...) directions in which a phenomenological theory of scientific thought experiments should be developed. (shrink)

“Conceptual analysis” is a misnomer—it refers, but it does not refer to a method or practice that involves the analysis of concepts. Once this is recognized, many of the main arguments for skepticism about conceptual analysis can be answered, since many of these arguments falsely assume that conceptual analyses target concepts. The present paper defends conceptual analysis from skepticism about its viability and, positively, presents an argument for viewing conceptual analyses as targeting philosophical phenomena, not our concepts of these phenomena.

The distinction between the a priori and the a posteriori is an old and influential one. But both the distinction itself and the crucial notion of a priori knowledge face powerful philosophical challenges. Many philosophers worry that accepting the a priori is tantamount to accepting epistemic magic. In contrast, this Element argues that the a priori can be formulated clearly, made respectable, and used to do important epistemological work. The author's conception of the a priori and its role falls short (...) of what some historical proponents of the notion may have hoped for, but it allows us to accept and use the notion without abandoning either naturalism or empiricism, broadly understood. This Element argues that we can accept and use the a priori without magic. (shrink)

The motivating question of this paper is: ‘How are our beliefs in the theorems of mathematics justified?’ This is distinguished from the question ‘How are our mathematical beliefs reliably true?’ We examine an influential answer, outlined by Russell, championed by Gödel, and developed by those searching for new axioms to settle undecidables, that our mathematical beliefs are justified by ‘intuitions’, as our scientific beliefs are justified by observations. On this view, axioms are analogous to laws of nature. They are postulated (...) to best systematize the data to be explained. We argue that there is a decisive difference between the cases. There is agreement on the data to be systematized in the scientific case that has no analog in the mathematical one. There is virtual consensus over observations, but conspicuous dispute over intuitions. In this respect, mathematics more closely resembles stereotypical philosophy. We conclude by distinguishing two ideas that have long been associated -- realism (the idea that there is an independent reality) and objectivity (the idea that in a disagreement, only one of us can be right). We argue that, while realism is true of mathematics and philosophy, these domains fail to be objective. One upshot of the discussion is that even questions of fundamental physics may fail to be objective in roughly the sense that the question, ‘Is the Parallel Postulate is true?’, understood as one of pure mathematics, fails to be. Another is a kind of pragmatism. Factual questions in mathematics, modality, logic, and evaluative areas go proxy for non-factual practical ones. -/- . (shrink)

Two kinds of considerations are thought to be relevant to the correct response to the discovery of a peer who disagrees with you about some question. The first is general principles pertaining to disagreement. According to the second kind of consideration, a theory about the correct response to peer disagreement must conform to our intuitions about test cases. In this paper, I argue against the assumption that imperfect conformity to our intuitions about test cases must count against a theory about (...) peer disagreement, offer a principled way of shrugging off a theory’s failure to deliver the intuitive verdict, and consider the main extant theories from the new methodological perspective. (shrink)

There are three theories in the epistemology of modality that have received sustained attention over the past 20 years: conceivability-theory, counterfactual-theory, and deduction-theory. In this paper we argue that all three face what we call the problem of modal epistemic friction. One consequence of the problem is that for any of the three accounts to yield modal knowledge, the account must provide an epistemology of essence. We discuss an attempt to fend off the problem within the context of the internalism (...) versus externalism debate about epistemic justification. We then investigate the effects that the PMEF has on reductive and non-reductive theories of the relation between essence and modality. (shrink)

Discussion of partial grounds that aren't parts of full grounds; definition of full grounding in terms of partial grounding.

This article presents a theory of intuitive skill in terms of three constitutive elements: getting things right intuitively, not getting things wrong intuitively, and sceptical ability. The theory draws on work from a range of psychological approaches to intuition and expertise in various domains, including arts, business, science, and sport. It provides a general framework that will help to further integrate research on these topics, for example building bridges between practical and theoretical domains or between such apparently conflicting methodologies as (...) a heuristics and biases approach on the one hand and one based on naturalistic decision-making on the other. In addition, the theory provides a clearer and more precise account of relevant concepts, which will help to inspire new directions for future research. Intuitive skill is defined as a high level of intuitive ability, that is, the ability to make good use of intuition; specifically, a high level of ability at either getting things right intuitively, not getting things wrong intuitively, or sceptical ability, where the latter is the ability to detect instances of getting things wrong intuitively so as to avoid forming incorrect intuitive judgements, which may itself be partly intuitive. (shrink)

It is widely assumed that sense perception cannot deliver knowledge of nonactual (metaphysical) possibilities. We are not supposed to be able to know that a proposition p is necessary or that p is possible (if p is false) by sense perception. This paper aims to establish that the role of sense perception is not so limited. It argues that we can know lots of modal facts by perception. While the most straightforward examples concern possibility and contingency, others concern necessity and (...) impossibility. The possibility of a perceptual route to some modal knowledge is not as radical as it may at first sound. On the contrary, acknowledging it has benefits. (shrink)

Debates about the ethics of health care and medical research in contemporary pluralistic democracies often arise partly from competing religious and secular values. Such disagreements raise challenges of balancing claims of religious liberty with claims to equal treatment in health care. This paper proposes several mid-level principles to help in framing sound policies for resolving such disputes. We develop and illustrate these principles, exploring their application to conscientious objection by religious providers and religious institutions, accommodation of religious priorities in biomedical (...) research, and treatment of patients’ religious views in doctor–patient encounters. Given that no sound set of guiding principles yields precise solutions for every policy dispute, we explore how morally sound democracies might deliberatively resolve such policy issues, following our proposed principles. Taken together and carefully interpreted, these principles may help in guiding difficult decision making in the indefinitely large realm where government, medical providers, and patients encounter problems concerning religion and medicine. (shrink)

Does rationality require logical omniscience? Our best formal theories of rationality imply that it does, but our ordinary evaluations of rationality seem to suggest otherwise. This paper aims to resolve the tension by arguing that our ordinary evaluations of rationality are not only consistent with the thesis that rationality requires logical omniscience, but also provide a compelling rationale for accepting this thesis in the first place. This paper also defends an account of apriori justification for logical beliefs that is designed (...) to explain the rational requirement of logical omniscience. On this account, apriori justification for beliefs about logic has its source in logical facts, rather than psychological facts about experience, reasoning, or understanding. This account has important consequences for the epistemic role of experience in the logical domain. In a slogan, the epistemic role of experience in the apriori domain is not a justifying role, but rather an enabling and disabling role. (shrink)

Can there be grounding without necessitation? Can a fact obtain wholly in virtue of metaphysically more fundamental facts, even though there are possible worlds at which the latter facts obtain but not the former? It is an orthodoxy in recent literature about the nature of grounding, and in first-order philosophical disputes about what grounds what, that the answer is no. I will argue that the correct answer is yes. I present two novel arguments against grounding necessitarianism, and show that grounding (...) contingentism is fully compatible with the various explanatory roles that grounding is widely thought to play. (shrink)

Brentano clearly asserts, in his Vienna lectures of 1887–1888, that his descriptive psychology is an a priori or “exact” science. Since he rejects Kant's idea of a synthetic a priori, this means that the descriptive psychologist's laws are analytic. My aim in this paper is to clarify and discuss this view. I examine Brentano's epistemology in the Psychology from an Empirical Standpoint and then its later developments. I conclude with a difficulty inherent in Brentano's psychological approach to a priori knowledge.

Do we perceptually experience moral properties like rightness and wrongness? For example, as in Gilbert Harman’s classic case, when we see a group of young hoodlums pour gasoline on a cat and ignite it, can we, in the same robust sense, see the action’s wrongness?. Many philosophers have recently discussed this question, argued for a positive answer and/or discussed its epistemological implications. This paper presents a new case for a negative answer by, first, getting much clearer on how such experience (...) could be possible at all; second, responding to the only argument for a positive answer; and, finally, arguing that postulation of such experience is explanatorily redundant. (shrink)

It is a platitude that when we reason, we often take things for granted, sometimes even justifiably so. The chemist might reason from the fact that a substance turns litmus paper red to that substance being an acid. In so doing, they take for granted, reasonably enough, that this test for acidity is valid. We ordinarily reason from things looking a certain way to their being that way. We take for granted, reasonably enough, that things are as they look Although (...) it is a platitude that we often take things for granted when we reason—whether justifiably or not—one might think that we do not have to. In fact, it is a natural expectation that were we not pressed by time, lack of energy or focus, we could always in principle make explicit in the form of premises every single presupposition we make in the course of our reasoning. In other words, it is natural to expect it to be true that presuppositionless reasoning is possible. In this essay, I argue that it is false: presuppositionless reasoning is impossible. Indeed, I think this is one of the lessons of a long-standing paradox about inference and reasoning known as Lewis Carroll’s (1985) regress of the premises. Many philosophers agree that Carroll’s regress teaches us something foundational about reasoning. I part ways about what it is that it teaches us. What it teaches us is that the structure of reasoning is constitutively presuppositional. (shrink)

Frankfurt-Style Cases (FSCs) seem to elicit the intuitive judgment that an agent is morally responsible despite being unable to act otherwise, which is supposed to falsify the Principle of Alternative Possibility (PAP). Recent empirical studies have shown that the inclination toward this intuitive judgment is shared among people, which seems to reinforce the argument against the PAP. However, some scholars have argued for Descriptive Anti-Intuitionism (DAI) — intuitive judgments have never played an evidential role in philosophy — and thus denied (...) the philosophical significance of such empirical findings. I point out that although DAI fails in its literal claim for FSCs, an associated insight remains potent: an intuitive judgment is so fragile that it can be easily defeated by further arguments. Nevertheless, I argue, empirical studies are significant in uncovering the general principles to which we are committed in our practice concerning moral responsibility. I clarify how such findings can play a robust evidential role in philosophical debates concerning moral responsibility by tracing the literature written by Frankfurt and philosophers. (shrink)

Discussions of the role of intuition in philosophical methodology typically proceed within the knowledge-centred framework of mainstream analytic epistemology. Either implicitly or explicitly, the primary questions in metaphilosophy frequently seem to revolve around whether or not intuition is a source of justification, evidence, or knowledge. I argue that this Standard Framework is inappropriate for methodological purposes: the epistemic standards that govern inquiry in philosophy are more stringent than the standards that govern everyday cognition. The experimentalist should instead view her criticisms (...) as analogous to calls for the use of double-blinding in science. (shrink)

Consider three widely shared claims that have not been discussed vis-à-vis one another. In his Proslogion, Saint Anselm argued that the claim “God exists” is true. If an intuition that a claim c is a useful a-priori justificatory resource, this can only be because such an intuition is a justification that c is true. And if an intuition that c is a justification that c is true, c can stand, not only for mathematical or logical claims, but also for controversial (...) philosophical ones, e.g., “God exists”. This essay addresses to while dialoguing with the literature on Anselm and intuition and articulating an alternative reading of the Proslogion. The alternative reading is that regardless of whether the Proslogion backs up or aims to back up the claim that “God exists” is true, it implicitly articulates the Meaning Argument whose conclusion is that all persons of faith are able to understand that the claim “God exists” is meaningful. This argument, it is argued, is evidence that an intuition that c may be a useful a-priori justificatory resource even if such intuition does not track truth, but merely meaning in being a justification for taking c to be meaningful. It is also supported that an intuition that “God exists” is not a justification that this claim is true. This is an indication that there may be reasons for thinking that the same applies to other controversial philosophical claims. (shrink)

According to orthodox views of philosophical methodology, when philosophers appeal to intuitions, they treat them as evidence for their contents. Call this “descriptive evidentialism.” Descriptive evidentialism is assumed both by those who defend the epistemic status of intuitions and by those, including many experimental philosophers, who criticize it. This article shows, however, that the idea that philosophers treat intuitions as evidence struggles to account for the way philosophers treat intuitions in a variety of philosophical contexts. In particular, it cannot account (...) for philosophers' treatment of a priori intuitions, for nonpropositional uses of intuition, and for philosophers' failure to use intuition to exclude the counterintuitive. The article concludes that alternatives to descriptive evidentialism (some of which are sketched) must be developed, and that much of the recent debate between traditionalists and skeptics from, for example, experimental philosophy is probably based on a false presupposition. (shrink)

People may disagree about moral issues because they have fundamentally different intuitions. I argue that we ought to suspend judgement in such cases. Since we trust our own moral intuitions without positive evidence of their reliability, we must necessarily extend this trust to the moral intuitions of others: a fundamental self-other asymmetry in moral epistemology is untenable. This ensures that disagreements in moral intuition are defeating. In addition, I argue that brute conflicts in moral intuition require suspension of judgement only (...) if we are required to exhibit this kind of default trust with respect to the moral intuitions of others. (shrink)