Rationality requires us to respond to apparent normative reasons. Given the independence of appearance and reality, why think that apparent normative reasons necessarily provide real normative reasons? And if they do not, why think that mistakes of rationality are necessarily real mistakes? This paper gives a novel answer to these questions. I argue first that in the moral domain, there are objective duties of respect that we violate whenever we do what appears to violate our first-order duties. The existence of (...) these duties of respect, I argue, ensures that apparent moral reasons are exceptions to the independence of appearance and reality. I then extend these arguments to the domain of overall reason. Just as there are objective duties of respect for moral reasons that explain moral blameworthiness, so there are objective duties of respect for reasons that explain blameworthiness in the court of overall reason. The existence of these duties ensures that apparent reasons are exceptions to the independence of appearance and reality. (shrink)

Despite the recent backlash against epistemic consequentialism, an explicit systematic alternative has yet to emerge. This paper articulates and defends a novel alternative, Epistemic Kantianism, which rests on a requirement of respect for the truth. §1 tackles some preliminaries concerning the proper formulation of the epistemic consequentialism / non-consequentialism divide, explains where Epistemic Kantianism falls in the dialectical landscape, and shows how it can capture what seems attractive about epistemic consequentialism while yielding predictions that are harder for the latter to (...) secure in a principled way. §2 presents Epistemic Kantianism. §3 argues that it is uniquely poised to satisfy the desiderata set out in §1 on an ideal theory of epistemic justification. §4 gives three further arguments, suggesting that it (i) best explains the objective normative significance of the subject's perspective in epistemology, (ii) follows from the kind of axiology needed to solve the swamping problem together with modest assumptions about the relation between the evaluative and the deontic, and (iii) illuminates certain asymmetries in epistemic value and obligation. §5 takes stock and reassesses the score in the debate. (shrink)

This paper considers the place of reasons in the metaphysics of epistemic normativity and defends a middle ground between two popular extremes in the literature. Against members of the ‘reasons first’ movement, we argue that reasons are not the sole fundamental constituents of epistemic normativity. We suggest instead that the virtue-theoretic property of competence is the key building block. To support this approach, we note that reasons must be possessed to play a role in the analysis of central epistemically normative (...) properties, and argue that the relation of possession must be analyzed in terms of competence. But while we diverge with reasons-firsters on this score, we also distance ourselves from those who deny reasons any important role in epistemology. For we maintain that possessed reasons do help to ground deontic facts in the epistemic domain (e.g., facts about what one epistemically ought to believe, may believe, or is justified in believing). Indeed, we present an argument that the possession of sufficient epistemic reasons is necessary and sufficient for propositional justification, and that proper basing on such reasons yields doxastic justification. But since possession and proper basing are themselves grounded in competence, reasons are not the end of the explanatory road: competence enables them to do their work, putting them—and us—in the middle. (shrink)

Internalism holds that epistemic justification is determined by what is internal to the mind, not by facts about the mind-independent world. This paper introduces and defends a new kind of internalism that is rooted in rationalist ideas that have been neglected in recent epistemology, despite inspiring internalist projects in cognitive science. Ignoring rationalist insights has, I argue, damaged the prospects for internalism, by needlessly saddling internalists with empiricist burdens. Internalists can refuse these burdens by accepting a better philosophy of mind. (...) Rather than looking to 17th century rationalists, I look to Kant, and especially his idea that normativity is grounded in the constitution of agency and mind. A Kantian approach can avoid stock objections to internalism, I argue, and can also capture all the alleged benefits of externalism. The paper is structured as follows. In §2, I get back to basics and consider more ways to satisfy the core internalist template than have become standard. I draw attention to rationalist insights about how normativity could be grounded in the constitution of mind, and hypothesize that if internalism respects these insights, some problems disappear. I develop this hypothesis in §3 with a Kantian view. I further defend this view in §4. I conclude in §5 by explaining why Kantian internalism answers the latest challenges to internalism. (shrink)

According to ambitious responsibilism (AR), the virtues that are constitutive of epistemic responsibility should play a central and fundamental role in traditional projects like the analysis of justification and knowledge. While AR enjoyed a shining moment in the mid-1990s, it has fallen on hard times. Part of the reason is that many epistemologists—including fellow responsibilists—think it paints an unreasonably demanding picture of knowledge and justification. I agree that such worries undermine AR's existing versions. But I think the curtains have been (...) prematurely drawn on the view. My goal is to show that the objections only threaten the periphery of certain versions of AR, and to develop a version that blocks them. With this goal in mind, here is the plan. I begin in §2 by clarifying the core commitments of AR and explain how influential responsibilists have added to these commitments in optional ways. In §3, I rehearse the standard objections to AR, explaining why they only impugn the add-ons. I turn in §4 to develop a version I call Kantian Responsibilism (KR). KR is a two-level view consisting of (i) a high-level analysis of epistemic normativity in responsibilist terms, and (ii) a first-order account of the conditions under which these terms apply. According to KR's first tier, epistemically virtuous thought is thought that manifests respect for truth; because I hold that manifesting certain reasons-sensitive dispositions is necessary and sufficient for respecting truth, KR's second tier takes epistemic virtues to coincide substantively with reasons-sensitive dispositions. After unpacking KR in §4, I show in §5 how it answers the objections to AR. I close in §6 by making some broader points about KR's virtues, especially when compared with reliabilist views. (shrink)

According to Veritism, true belief is the sole fundamental epistemic value. Epistemologists often take Veritism to entail that all other epistemic items can only have value by standing in certain instrumental relations—namely, by tending to produce a high ratio of true to false beliefs or by being products of sources with this tendency. Yet many value theorists outside epistemology deny that all derivative value is grounded in instrumental relations to fundamental value. Veritists, I believe, can and should follow suit. After (...) setting the stage in §1, I explain in §2 why Veritism should not take an Instrumentalist form. Instrumentalist Veritism faces a generalized version of the swamping problem. But this problem undermines Instrumentalism, not Veritism: granting Instrumentalism, similar problems arise for any economical epistemic axiology. I show in §3 how Veritism can take a less narrow form and solve the swamping problem. After answering some objections in §4, I consider in §5 what some would regard as a less radical alternative solution and argue that it either fails or collapses into mine. I close in §6 by taking stock and re-evaluating the overall prospects for Veritism, suggesting that it is a highly promising epistemic axiology when divorced from Instrumentalism. (shrink)

It is often assumed that believing that p for a normative reason consists in nothing more than (i) believing that p for a reason and (ii) that reason’s corresponding to a normative reason to believe that p, where (i) and (ii) are independent factors. This is the Composite View. In this paper, we argue against the Composite View on extensional and theoretical grounds. We advocate an alternative that we call the Prime View. On this view, believing for a normative reason (...) is a distinctive achievement that isn’t exhausted by the mere conjunction of (i) and (ii). Its being an achievement entails that (i) and (ii) are not independent when one believes for a normative reason: minimally, (i) must hold because (ii) holds. Apart from its intrinsic interest, our discussion has important upshots for central issues in epistemology, including the analysis of doxastic justification, the epistemology of perception, and the place of competence in epistemology. (shrink)

This paper surveys some ways in which epistemic reasons ascriptions (or ERAs) appear to be context-sensitive, and outlines a framework for thinking about the nature of this context-sensitivity that is intimately related to ERAs' explanatory function.

According to a view I’ll call Epistemic Normativism, knowledge is normative in the same sense in which paradigmatically normative properties like justification are normative. This paper argues against EN in two stages and defends a positive non-normativist alternative. After clarifying the target in §1, I consider in §2 some arguments for EN from the premise that knowledge entails justification. I first raise some worries about inferring constitution from entailment. I then rehearse the reasons why some epistemologists reject the Entailment Thesis (...) and argue that a non-normativist picture provides the best explanation of all the intuitions surrounding this thesis, favorable and unfavorable. On this picture, human knowledge is a structured non-normative complex that has as one of its parts a justification-making property, analogous in role to good-making properties like pleasurableness. After giving three arguments against EN in §3 and answering an objection in §4, I turn in §5 to further develop the positive view sketched in §2. In §6, I take stock and conclude. (shrink)

This paper is an opinionated guide to the literature on normative epistemic reasons. After making some distinctions in §1, I begin in §2 by discussing the ontology of normative epistemic reasons, assessing arguments for and against the view that they are mental states, and concluding that they are not mental states. In §3, I examine the distinction between normative epistemic reasons there are and normative epistemic reasons we possess. I offer a novel account of this distinction and argue that we (...) in fact ought to acknowledge a threefold distinction between objective, possessed, and apparent normative epistemic reasons. In §4, I discuss the question of which normative reasons for doxastic attitudes are the epistemic ones, evaluating reasons against a simple evidentialist answer. Finally, in §5, I look at the role of reasons in epistemology, considering challenges to viewing reasons as the building blocks of epistemic normativity and maintaining that the challenges recommend a novel bi-level epistemology rather than a marginalization of reasons in epistemology. (shrink)

Reasons fundamentalists maintain that we can analyze all derivative normative properties in terms of normative reasons. These theorists famously encounter the Wrong Kind of Reasons problem, since not all reasons for reactions seem relevant for reasons-based analyses. Some have argued that this problem is a general one for many theorists, and claim that this lightens the burden for reasons fundamentalists. We argue in this paper that the reverse is true: the generality of the problem makes life harder for reasons fundamentalists. (...) We do this in two stages. First, we show that reflection on the generality of the distinction between wrong-kind reasons and right-kind reasons shows that not all right-kind reasons are normative reasons. So, not only do reasons-based analyses require a distinction between right-kind reasons and wrong-kind reasons, they also need a distinction between normative right-kind reasons from nonnormative right-kind reasons. We call this the Right Kind of Reasons Problem. In the second stage of the paper, we argue that reasons fundamentalism places tight constraints on its proper solution: in particular, it forbids one from appealing to anything normative to distinguish normative RKRs from nonnormative RKRs. It hence seems that reasons fundamentalists can only appeal to natural facts to solve the problem, but it is unclear which ones can do the job. So, reflection on the generality of the distinction only multiplies the fundamentalist’s problems. We end by exploring several solutions to these problems, and recommend a form of constitutivism as the best. (shrink)

According to certain normative theories in epistemology, rationality requires us to be logically omniscient. Yet this prescription clashes with our ordinary judgments of rationality. How should we resolve this tension? In this paper, I focus particularly on the logical omniscience requirement in Bayesian epistemology. Building on a key insight by Hacking :311–325, 1967), I develop a version of Bayesianism that permits logical ignorance. This includes: an account of the synchronic norms that govern a logically ignorant individual at any given time; (...) an account of how we reduce our logical ignorance by learning logical facts and how we should update our credences in response to such evidence; and an account of when logical ignorance is irrational and when it isn’t. At the end, I explain why the requirement of logical omniscience remains true of ideal agents with no computational, processing, or storage limitations. (shrink)

The paper is an opinionated tour of the literature on the reasons for which we hold beliefs and other doxastic attitudes, which I call ‘operative epistemic reasons’. After drawing some distinctions in §1, I begin in §2 by discussing the ontology of operative epistemic reasons, assessing arguments for and against the view that they are mental states. I recommend a pluralist non-mentalist view that takes seriously the variety of operative epistemic reasons ascriptions and allows these reasons to be both propositions (...) and truth-making facts. In §3, I turn to consider what it takes for a consideration to be an operative epistemic reason, examining three conditions – the representational, treating, and explanatory conditions – that have been proposed. I offer a novel view about the explanatory condition. In §4, I discuss the special case of inferential operative reasons and examine attempts to understand them in terms of rule-following, sketching a competence-based spinoff of dispositionalism. Finally, in §5, I consider whether there are non-inferential operative reasons, observing that one needn't countenance them to be a foundationalist but then developing a view about what they are and how they do and don't differ from inferential reasons. (shrink)

Conditionalization is one of the central norms of Bayesian epistemology. But there are a number of competing formulations, and a number of arguments that purport to establish it. In this paper, I explore which formulations of the norm are supported by which arguments. In their standard formulations, each of the arguments I consider here depends on the same assumption, which I call Deterministic Updating. I will investigate whether it is possible to amend these arguments so that they no longer depend (...) on it. As I show, whether this is possible depends on the formulation of the norm under consideration. (shrink)

Philosophy and Phenomenological Research, EarlyView.

Hilbert’s program was an ambitious and wide-ranging project in the philosophy and foundations of mathematics. In order to “dispose of the foundational questions in mathematics once and for all,” Hilbert proposed a two-pronged approach in 1921: first, classical mathematics should be formalized in axiomatic systems; second, using only restricted, “finitary” means, one should give proofs of the consistency of these axiomatic systems. Although Gödel’s incompleteness theorems show that the program as originally conceived cannot be carried out, it had many partial (...) successes, and generated important advances in logical theory and metatheory, both at the time and since. The article discusses the historical background and development of Hilbert’s program, its philosophical underpinnings and consequences, and its subsequent development and influences since the 1930s. (shrink)

In this paper I defend what I call the argument from epistemic reasons against the moral error theory. I argue that the moral error theory entails that there are no epistemic reasons for belief and that this is bad news for the moral error theory since, if there are no epistemic reasons for belief, no one knows anything. If no one knows anything, then no one knows that there is thought when they are thinking, and no one knows that they (...) do not know everything. And it could not be the case that we do not know that there is thought when we believe that there is thought and that we do not know that we do not know everything. I address several objections to the claim that the moral error theory entails that there are no epistemic reasons for belief. It might seem that arguing against the error theory on the grounds that it entails that no one knows anything is just providing a Moorean argument against the moral error theory. I show that even if my argument against the error theory is indeed a Moorean one, it avoids Streumer's, McPherson's and Olson's objections to previous Moorean arguments against the error theory and is a more powerful argument against the error theory than Moore's argument against external world skepticism is against external world skepticism. (shrink)

Rescorla (Erkenntnis, 2020) has recently pointed out that the standard arguments for Bayesian Conditionalization assume that whenever I become certain of something, it is true. Most people would reject this assumption. In response, Rescorla offers an improved Dutch Book argument for Bayesian Conditionalization that does not make this assumption. My purpose in this paper is two-fold. First, I want to illuminate Rescorla’s new argument by giving a very general Dutch Book argument that applies to many cases of updating beyond those (...) covered by Conditionalization, and then showing how Rescorla’s version follows as a special case of that. Second, I want to show how to generalise R. A. Briggs and Richard Pettigrew’s Accuracy Dominance argument to avoid the assumption that Rescorla has identified (Briggs and Pettigrew in Noûs, 2018). In both cases, these arguments proceed by first establishing a very general reflection principle. (shrink)

Some say the swamping problem confronts all who believe that true belief is the sole fundamental epistemic value. This, I say, is mistaken. The problem only confronts T-Monists if they grant two teleological claims: that all derived epistemic value is instrumental, and that it is the state of believing truly rather than the standard of truth in belief that is fundamentally epistemically valuable. T-Monists should reject and, and appeal to a non-teleological form of value derivation I call Fitting Response Derivation (...) that obviates swamping. Since, alas, simple reliabilists can’t apply this model to knowledge, the problem remains for them, and is local. (shrink)

Many philosophers nowadays believe Frege was right about belief, but wrong about language: The contents of beliefs need to be individuated more finely than in terms of Russellian propositions, but the contents of utterances do not. I argue that this 'hybrid view' cannot offer no reasonable account of how communication transfers knowledge from one speaker to another and that, to do so, we must insist that understanding depends upon more than just getting the references of terms right.

All humans have an equal basic moral status. They possess the same fundamental rights, and the comparable interests of each person should count the same in calculations that determine social policy. Neither supposed racial differences, nor skin color, sex, sexual orientation, ethnicity, intelligence, nor any other differences among humans negate their fundamental equal worth and dignity. These platitudes are virtually universally affirmed. A white supremacist racist or an admirer of Adolf Hitler who denies them is rightly regarded as beyond the (...) pale of civilized dialogue. However, a very simple line of argument developed by Peter Singer challenges our understanding of these platitudes and forces us to rethink the basis and nature of the moral equality of all humans. What I call the “Singer Problem” arises if one accepts that the morally significant cognitive capacities that are relevant to the determination of the fundamental moral status of a being vary from individual to individual by degree. The problem is to specify a moral principle determining fundamental moral status that assigns a superior status to humans compared to other animals on the basis of the superior cognitive capacities of humans but also assigns all human persons an equal fundamental moral status regardless of their differing cognitive capacities. More broadly posed, the problem is to specify moral principles that yield intuitively satisfactory implications for the treatment of human individuals and other individual animals given that cognitive capacities differ across species and individuals. A search for a resolution of the Singer problem leads to disappointing results. (shrink)

This paper is concerned with neo-Fregean accounts of reference to abstract objects. It develops an objection to the most familiar such accounts, due to Bob Hale and Crispin Wright, based upon what I call the 'proliferation problem': Hale and Wright's account makes reference to abstract objects seem too easy, as is shown by the fact that any equivalence relation seems as good as any other. The paper then develops a response to this objection, and offers an account of what it (...) is for abstracta to exist that is Fregean in spirit but more robust than familiar views. (shrink)

Logic has pride of place in mathematics and its 20th century offshoot, computer science. Modern symbolic logic was developed, in part, as a way to provide a formal framework for mathematics: Frege, Peano, Whitehead and Russell, as well as Hilbert developed systems of logic to formalize mathematics. These systems were meant to serve either as themselves foundational, or at least as formal analogs of mathematical reasoning amenable to mathematical study, e.g., in Hilbert’s consistency program. Similar efforts continue, but have been (...) expanded by the development of sophisticated methods to study the properties of such systems using proof and model theory. In parallel with this evolution of logical formalisms as tools for articulating mathematical theories (broadly speaking), much progress has been made in the quest for a mechanization of logical inference and the investigation of its theoretical limits, culminating recently in the development of new foundational frameworks for mathematics with sophisticated computer-assisted proof systems. In addition, logical formalisms developed by logicians in mathematical and philosophical contexts have proved immensely useful in describing theories and systems of interest to computer scientists, and to some degree, vice versa. Three examples of the influence of logic in computer science are automated reasoning, computer verification, and type systems for programming languages. (shrink)

Many epistemologists treat rationality and justification as the same thing. Those who don’t lack detailed accounts of the difference, leading their opponents to suspect that the distinction is an ad hoc attempt to safeguard their theories of justification. In this paper, I offer a new and detailed account of the distinction. The account is inspired by no particular views in epistemology, but rather by insights from the literature on reasons and rationality outside of epistemology. Specifically, it turns on a version (...) of the familiar distinction in meta-ethics between possessing apparent normative reasons (which may be merely apparent) and possessing objective normative reasons. The paper proceeds as follows. In §1, I discuss the history of indifference to the distinction between rationality and justification in epistemology and the striking contrast with meta-ethics. I introduced the distinction between apparent reasons and possessed objective reasons in §2 and provide a deeper basis for it in §3. I explain how the ideas extend to epistemology in §4 and explore the upshots for some central issues in §5. (shrink)

An investigation of Frege’s various contributions to the study of language, focusing on three of his most famous doctrines: that concepts are unsaturated, that sentences refer to truth-values, and that sense must be distinguished from reference.

Accuracy arguments for the core tenets of Bayesian epistemology differ mainly in the conditions they place on the legitimate ways of measuring the inaccuracy of our credences. The best existing arguments rely on three conditions: Continuity, Additivity, and Strict Propriety. In this paper, I show how to strengthen the arguments based on these conditions by showing that the central mathematical theorem on which each depends goes through without assuming Additivity.

The proof theory of many-valued systems has not been investigated to an extent comparable to the work done on axiomatizatbility of many-valued logics. Proof theory requires appropriate formalisms, such as sequent calculus, natural deduction, and tableaux for classical (and intuitionistic) logic. One particular method for systematically obtaining calculi for all finite-valued logics was invented independently by several researchers, with slight variations in design and presentation. The main aim of this report is to develop the proof theory of finite-valued first order (...) logics in a general way, and to present some of the more important results in this area. In Systems covered are the resolution calculus, sequent calculus, tableaux, and natural deduction. This report is actually a template, from which all results can be specialized to particular logics. (shrink)

This paper discusses Frege's account of definition by induction in Grundgesetze and the two key theorems Frege proves using it.

The Intergovernmental Panel on Climate Change has developed a novel framework for assessing and communicating uncertainty in the findings published in their periodic assessment reports. But how should these uncertainty assessments inform decisions? We take a formal decision-making perspective to investigate how scientific input formulated in the IPCC’s novel framework might inform decisions in a principled way through a normative decision model.

Longtermism is the view that the most urgent global priorities, and those to which we should devote the largest portion of our resources, are those that focus on (i) ensuring a long future for humanity, and perhaps sentient or intelligent life more generally, and (ii) improving the quality of the lives that inhabit that long future. While it is by no means the only one, the argument most commonly given for this conclusion is that these interventions have greater expected goodness (...) per unit of resource devoted to them than each of the other available interventions, including those that focus on the health and well-being of the current population. In this paper, I argue that, even if we grant the consequentialist ethics upon which this argument depends, and even if we grant one of the axiologies that are typically paired with that ethics to give the argument, we are not morally required to choose an option that maximises expected utility; indeed, we might not even be permitted to do so. Instead, I will argue, if the argument's consequentialism is correct, we should choose using a decision theory that is sensitive to risk, and allows us to give greater weight to worse-case outcomes than expected utility theory does. And, I will show, such decision theories do not always recommend longtermist interventions. Indeed, sometimes, they recommend exactly the opposite: sometimes, they recommend hastening human extinction. Many, though not all, will take this as a reductio of the consequentialism or the axiology of the argument. I remain agnostic on the conclusion we should draw. (shrink)

We often learn the opinions of others without hearing the evidence on which they're based. The orthodox Bayesian response is to treat the reported opinion as evidence itself and update on it by conditionalizing. But sometimes this isn't feasible. In these situations, a simpler way of combining one's existing opinion with opinions reported by others would be useful, especially if it yields the same results as conditionalization. We will show that one method---upco, also known as multiplicative pooling---is specially suited to (...) this role when the opinions you wish to pool concern hypotheses about chances. The result has interesting consequences: it addresses the problem of disagreement between experts; and it sheds light on the social argument for the uniqueness thesis. (shrink)

The desirability of what actually occurs is often influenced by what could have been. Preferences based on such value dependencies between actual and counterfactual outcomes generate a class of problems for orthodox decision theory, the best-known perhaps being the so-called Allais Paradox. In this paper we solve these problems by extending Richard Jeffrey's decision theory to counterfactual prospects, using a multidimensional possible-world semantics for conditionals, and showing that preferences that are sensitive to counterfactual considerations can still be desirability maximising. (...) We end the paper by investigating the conditions necessary and sufficient for a desirability function to be an expected utility. It turns out that the additional conditions imply highly implausible epistemic principles. (shrink)

As is well-known, the formal system in which Frege works in his Grundgesetze der Arithmetik is formally inconsistent, Russell’s Paradox being derivable in it.This system is, except for minor differ...

This paper raises a dilemma for Skorupski’s meta-normative outlook in The Domain of Reasons and explores some escape routes, recommending a more thoroughgoing Kantianism as the best option. §1 argues that we cannot plausibly combine Skorupski’s spontaneity-based epistemology of normativity with his cognition-independent view of normative truth. §§2–4 consider whether we should keep the epistemology and revise the metaphysics, opting for constructivism. While Skorupski’s negative case for his spontaneity-based epistemology is found wanting, it is suggested that a better argument for (...) keeping the epistemology and switching to Kantian constructivism can be given from a thesis he finds appealing—viz., ‘cognitive internalism’. While this premise is not, it is argued, obviously true, the view it supports does provide a good way to undergird Skorupski’s most interesting rationale for his reasons-first approach. (shrink)

Effective altruism sounds so innocuous—who could possibly be opposed to doing good more effectively? Yet it has inspired significant backlash in recent years. This paper addresses some common misconceptions and argues that the core “beneficentric” ideas of effective altruism are both excellent and widely neglected. Reasonable people may disagree on details of implementation, but all should share the basic goals or values underlying effective altruism.

How much does rationality constrain what we should believe on the basis of our evidence? According to this book, not very much. For most people and most bodies of evidence, there is a wide range of beliefs that rationality permits them to have in response to that evidence. The argument, which takes inspiration from William James' ideas in 'The Will to Believe', proceeds from two premises. The first is a theory about the basis of epistemic rationality. It's called epistemic utility (...) theory, and it says that what it is epistemically rational for you to believe is what it would be rational for you to choose if you were given the chance to pick your beliefs and, when picking them, you were to care only about their epistemic value. So, to say which beliefs are permitted, we must say how to measure epistemic value, and which decision rule to use when picking your beliefs. The second premise is a claim about attitudes to epistemic risk, and it says that rationality permits many different such attitudes. These attitudes can show up in epistemic utility theory in two ways: in the way you measure epistemic value; and in the decision rule you use to pick beliefs. This book explores the latter. The result is permissivism about epistemic rationality: different attitudes to epistemic risk lead to different choices of prior beliefs; given most bodies of evidence, different priors lead to different posteriors; and even once we fix your attitudes to epistemic risk, if they are at all risk-inclined, there is a range of different priors and therefore different posteriors they permit. (shrink)

A framework is developed for understanding what is “taken for granted” both in philosophy and in life generally, which may serve to orient philosophical inquiry and make it more effective. The framework takes in language and its development, as well as mathematics, logic, and the empirical sphere with particular reference to the exigencies of life. It is evaluated through consideration of seven philosophical issues concerned with such topics as solipsism, sense data as the route to knowledge, the possible reduction of (...) geometry to logic, and the existence and status of human rights. Various dichotomies and the notion of continuity are evidently highly strategic. (shrink)

Religion emerged among early humans because both purposive and non-purposive explanations were being employed but understanding was lacking of their precise scope and limits. Given also a context of very limited human power, the resultant foregrounding of agency and purposive explanation expressed itself in religion’s marked tendency towards anthropomorphism and its key role in legitimizing behaviour. The inevitability of death also structures the religious outlook; with ancestors sometimes assigned a role in relation to the living. Subjective elements such as the (...) experience of dreams and the internalization of moral precepts also play their part. Two important sources of variation among religions concern the adoption of a dualist or non-dualist perspective, and whether or not the religion’s early political experience is such as to generate a systematic doctrine subordinating politics to religion. The near ubiquity and endurance of religion are further illuminated by analysis of its functions and ideological role. Religion tends to be socially conservative but has the potential to be revolutionary. (shrink)

Our values change. What we value, want, desire, prefer, and how much; for nearly everyone, these will be different at different times in their life. These changes can be gradual or abrupt; they can be long-lasting or short-lived; and they can be induced by forces outside yourself or they can come from within or they can have no specific catalyst at all. Such preference change raises a number of questions for our theorising about rational choice, and these have been discussed (...) at length. In §2 and §3, I’ll outline two of these questions along with some of the putative solutions that have been proposed. But preference change also raises questions for our theorising about autonomy, and these have hardly been considered at all. In §4, I’ll outline three problems for personal autonomy; and in §5, I’ll outline one problem for political autonomy. In §6, I conclude. (shrink)

Drawing mainly from the Tractatus Logico-Philosophicus and his middle period writings, strategic issues and problems arising from Wittgenstein’s philosophy of mathematics are discussed. Topics have been so chosen as to assist mediation between the perspective of philosophers and that of mathematicians on their developing discipline. There is consideration of rules within arithmetic and geometry and Wittgenstein’s distinctive approach to number systems whether elementary or transfinite. Examples are presented to illuminate the relation between the meaning of an arithmetical generalisation or theorem (...) and its proof. An attempt is made to meet directly some of Wittgenstein’s critical comments on the mathematical treatment of infinity and irrational numbers. (shrink)