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)

[Significantly updated in Chapter 7 of Awareness and the Substructure of Knowledge] Many have found it plausible that knowledge is a constitutively normative state, i.e. a state that is grounded in the possession of reasons. Many have also found it plausible that certain cases of proprioceptive knowledge, memorial knowledge, and self-evident knowledge are cases of knowledge that are not grounded in the possession of reasons. I refer to these as cases of basic knowledge. The existence of basic knowledge forms a (...) primary objection to the idea that knowledge is a constitutively normative state. In what follows I offer a way through the apparent dilemma of having to choose between either basic knowledge or the normativity of knowledge. The solution involves homing in on a state of awareness (≈non-accidental true representation) that is distinct from knowledge and which in turn grounds the normativity of knowledge in a way that is fully consistent with the existence of basic knowledge. An upshot of this is that externalist theories of knowledge turn out to be fully compatible with the thesis that knowledgeable beliefs are always beliefs that are justified by the reasons one possesses. (shrink)

Sometimes, there are reasons for which we believe, intend, resent, decide, and so on: these reasons are the “bases” of the latter, and the explanatory relation between these bases and the latter is what I will call “the basing relation.” What kind of explanatory relation is this? Dispositionalists claim that the basing relation consists in the agent’s manifesting a disposition to respond to those bases by having the belief, intention, resentment, and so on, in question. Representationalists claim that the basing (...) relation consists in the agent’s representing the bases as justifying the belief, intention, resentment, and so on, in question. This article shows that an adequate account of the basing relation requires a particular refinement and combination of these two views. On the hybrid account defended here, the basing relation involves a disposition exercise that is individuated by the agent’s object-involving de se representation of that very exercise as justifying. (shrink)

One important distinction in the debate over the nature of epistemic justification is the one between propositional and doxastic justification. Roughly, while doxastic justification is a property of beliefs, propositional justification is a property of propositions. On a rather common view, which accounts for doxastic justification in terms of propositional justification plus the so-called ‘basing relation’, propositional justification is seen as the prior notion, and doxastic justification is explained in terms of it. According to the opposing view, the direction of (...) explanation needs to be reversed, and doxastic justification should be seen as primary. I distinguish between two notions of priority, and I argue that they give different verdicts with respect to the issue of which notion of justification comes first. The lesson may be taken to be that propositional and doxastic justification are in a relation of intertwinement. (shrink)

It is widely assumed that the notion of doxastic justification should be explained in terms of the more fundamental notion of propositional justification, a notion which itself explains evidential support relations as a priori knowable. It is argued here, following Goldman, that this is a mistake. Doxastic justification is the more fundamental notion, and once one sees this, one must recognize that evidential support relations have an ineliminable psychological dimension which undermines the claim that they are knowable a priori.

This book argues against the view that mathematical knowledge is a priori,contending that mathematics is an empirical science and develops historically,just as ...

The concept of evidence is central to both epistemology and the philosophy of science. Of course, ‘evidence’ is hardly a philosopher's term of art: it is not only, or even primarily, philosophers who routinely speak of evidence, but also lawyers and judges, historians and scientists, investigative journalists and reporters, as well as the members of numerous other professions and ordinary folk in the course of everyday life. The concept of evidence would thus seem to be on firmer pre-theoretical ground than (...) various other concepts which enjoy similarly central standing within philosophy. (Contrast, for example, the epistemologist's quasi-technical term ‘epistemic justification’.). (shrink)

I defend the principle of Phenomenal Conservatism, on which appearances of all kinds generate at least some justification for belief. I argue that there is no reason for privileging introspection or intuition over perceptual experience as a source of justified belief; that those who deny Phenomenal Conservatism are in a self-defeating position, in that their view cannot be both true and justified; and that thedemand for a metajustification for Phenomenal Conservatism either is an easily met demand, or is an unfair (...) or question-begging one. (shrink)

In this paper I will be arguing that there are cases in which a subject, S, should have known that p, even though, given her state of evidence at the time, she was in no position to know it. My argument for this result will involve making two claims. The uncontroversial claim is this: S should have known that p when another person has, or would have, legitimate expectations regarding S’s epistemic condition, the satisfaction of these expectations would require that (...) S knows that p, and S fails to know that p. The controversial claim is that these three conditions are sometimes jointly satisfied. I will spend the majority of my time defending the controversial claim. I will argue that there are two main sources of legitimate expectations regarding another’s epistemic condition: participation in a legitimate social practice ; and moral and epistemic expectations more generally . In developing my position on this score, I will have an opportunity to defend the doctrine that there are “practice-generated entitlements” to expect certain things, where it can happen that the satisfaction of these expectations requires another’s having certain pieces of knowledge; to contrast practice-generated entitlements to expect with epistemic reasons to believe; to defend the idea that moral and epistemic standards themselves can be taken to reflect legitimate expectations we have of each other; to compare the “should have known” phenomenon with a widely-discussed phenomenon in the ethics literature—that of culpable ignorance; and finally to suggest the bearing of the “should have known” phenomenon to epistemology itself. (shrink)

Evidentialism is a view about the conditions under which a person is epistemically justified in having a particular doxastic attitude toward a proposition. Evidentialism holds that the justified attitudes are determined entirely by the person's evidence. This is the traditional view of justification. It is now widely opposed. The essays included in this volume develop and defend the tradition.Evidentialism has many assets. In addition to providing an intuitively plausible account of epistemic justification, it helps to resolve the problem of the (...) criterion, helps to disentangle epistemic and ethical evaluations, and illuminates the relationship between epistemic evaluations of beliefs and the evaluation of the methods used to form beliefs. These issues are all addressed in the essays presented here. External world skepticism poses the classic problem for an epistemological theory. The final essay in this volume argues that evidentialism is uniquely well qualified to make sense of skepticism and to respond to its challenge.Evidentialism is a version of epistemic internalism. Recent epistemology has included many attacks on internalism and has seen the development of numerous externalist theories. The essays included here respond to those attacks and raise objections to externalist theories, especially the principal rival, reliabilism. Internalism generally has been criticized for having unacceptable deontological implications, for failing to connect epistemic justification to truth, and for failing to provide an adequate account of what makes basic beliefs justified. Each of these charges is answered in these essays. The collection includes two previously unpublished essays and new afterwords to five of the reprinted essays; it will be the definitive resource on evidentialism for all epistemologists. (shrink)

Criteria of acceptability for mathematical proofs are field-dependent. In topology, though not in most other domains, it is sometimes acceptable to appeal to visual intuition to support inferential steps. In previous work :829–842, 2014; Lolli, Panza, Venturi From logic to practice, Springer, Berlin, 2015; Larvor Mathematical cultures, Springer, Berlin, 2016) my co-author and I aimed at spelling out how topological proofs work on their own terms, without appealing to formal proofs which might be associated with them. In this article, I (...) address two criticisms that have been raised in Tatton-Brown against our approach: that it leads to a form of relativism according to which validity is equated with social agreement and that it implies an antiformalizability thesis according to which it is not the case that all rigorous mathematical proofs can be formalized. I reject both criticisms and suggest that our previous case studies provide insight into the plausibility of two related but quite different theses. (shrink)

According to the received view, genuine mathematical justification derives from proofs. In this article, I challenge this view. First, I sketch a notion of proof that cannot be reduced to deduction from the axioms but rather is tailored to human agents. Secondly, I identify a tension between the received view and mathematical practice. In some cases, cognitively diligent, well-functioning mathematicians go wrong. In these cases, it is plausible to think that proof sets the bar for justification too high. I then (...) propose a fallibilist account of mathematical justification. I show that the main function of mathematical justification is to guarantee that the mathematical community can correct the errors that inevitably arise from our fallible practices. (shrink)

This paper defends the view that standards, which are typically social in nature, play a role in determining whether a subject has knowledge. While the argument focuses on standards that pertain to reasoning, I also consider whether there are similar standards for memory and perception.Ultimately, I argue that the standards are context sensitive and, as such, we must view attributions of knowledge as indexical. I exploit similarities between this view and a version of the relevant alternatives reply to skepticism in (...) order to defend this reply against the objection that it is ad hoc. (shrink)

A comprehensive defence of the rationalist view that insight independent of experience is a genuine basis for knowledge.

In the international bestseller, Thinking, Fast and Slow, Daniel Kahneman, the renowned psychologist and winner of the Nobel Prize in Economics, takes us on a groundbreaking tour of the mind and explains the two systems that drive the way we think. System 1 is fast, intuitive, and emotional; System 2 is slower, more deliberative, and more logical. The impact of overconfidence on corporate strategies, the difficulties of predicting what will make us happy in the future, the profound effect of cognitive (...) biases on everything from playing the stock market to planning our next vacation—each of these can be understood only by knowing how the two systems shape our judgments and decisions. -/- Engaging the reader in a lively conversation about how we think, Kahneman reveals where we can and cannot trust our intuitions and how we can tap into the benefits of slow thinking. He offers practical and enlightening insights into how choices are made in both our business and our personal lives—and how we can use different techniques to guard against the mental glitches that often get us into trouble. Winner of the National Academy of Sciences Best Book Award and the Los Angeles Times Book Prize and selected by The New York Times Book Review as one of the ten best books of 2011, Thinking, Fast and Slow is destined to be a classic. (shrink)

In arithmetic, if only because many of its methods and concepts originated in India, it has been the tradition to reason less strictly than in geometry, ...

As George Boole saw it, the laws of logic are the laws of thought, and by this he meant, not that human thought is actually governed by the laws of logic, but, rather, that it should be. Boole’s view that the laws of logic have normative implications for how we ought to think is anything but an outlier. The idea that violating the laws of logic involves epistemic impropriety has seemed to many to be just obvious. It has seemed especially (...) obvious to those who see propositional justification as more fundamental than doxastic justification. Whatever other principles are required for defining propositional justification, the laws of logic seem indispensable. The idea that violation of the laws of logic involves some sort of epistemic impropriety—whatever the peculiarities of our psychology may be—has served as a fixed point around which defenders of the fundamentality of propositional justification are united, whatever their other differences. This paper challenges that common thread in defenses of the fundamentality of propositional justification. It is argued that the laws of logic have no bearing whatever on epistemic justification. Once we see why this should be so, the way is paved for seeing why it is that doxastic justification is more fundamental than propositional justification. (shrink)

Ichikawa and Jarvis offer a new rationalist theory of mental content and defend a traditional epistemology of philosophy. They argue that philosophical inquiry is continuous with non-philosophical inquiry, and can be genuinely a priori, and that intuitions do not play an important role in mental content or the a priori.

This chapter is guided by the hypothesis that the point and purpose of using the concept of justification in epistemic evaluation is tied to its role in the practice of critical reflection. In section one, I propose an analysis of justification as the epistemic property in virtue of which a belief has the potential to survive ideal critical reflection. In section two, I use this analysis in arguing for a form of access internalism on which one has justification to believe (...) a proposition if and only if one has higher-order justification to believe that one has justification to believe that proposition. In section three, I distinguish between propositional and doxastic versions of access internalism and argue that the propositional version avoids familiar objections to the doxastic version. In section four, I argue that the propositional version of access internalism also explains and vindicates internalist intuitions about cases. In section five, I conclude with some reflections on the relationship between critical reflection, responsibility and personhood. (shrink)

While we are commonly told that the distinctive method of mathematics is rigorous proof, and that the special topic of mathematics is abstract structure, there has been no agreement among mathematicians, logicians, or philosophers as to just what either of these assertions means. John P. Burgess clarifies the nature of mathematical rigor and of mathematical structure, and above all of the relation between the two, taking into account some of the latest developments in mathematics, including the rise of experimental mathematics (...) on the one hand and computerized formal proofs on the other hand. Along the way, a great many historical developments in mathematics, philosophy, and logic are surveyed. Yet very little in the way of background knowledge on the part of the reader is presupposed. (shrink)

The major divide in contemporary epistemology is between those who embrace and those who reject a priori knowledge. Albert Casullo provides a systematic treatment of the primary epistemological issues associated with the controversy. By freeing the a priori from traditional assumptions about the nature of knowledge and justification, he offers a novel approach to resolving these issues which assigns a prominent role to empirical evidence. He concludes by arguing that traditional approaches to the a priori, which focus primarily on the (...) concepts of necessity and analyticity, are misguided. (shrink)