Reviews Wildberger's account of his rational trigonometry project, which argues for a simpler way of doing trigonometry that avoids irrationals.

According to a well-known view in the philosophy of mind, intentional attitudes by their very nature satisfy requirements of rationality (e.g. Davidson 1980; Dennett 1987; Millar 2004). This view (which I shall call Constitutivism) features prominently as the ‘principle of minimal rationality’ in de Sousa’s monograph The Rationality of Emotion (1987). By explicating this principle in terms of the notion of the formal object of an attitude, de Sousa articulates an interesting and original version of Constitutivism, which differs in important (...) respects from other extant versions. In this paper, I explore this version of Constitutivism against the background of recent developments in the theory of rationality and make explicit its ramifications for the long-standing dispute over whether the mind is essentially normative. My focus will be on how to conceive of the form of the rationality requirements that attitudes as such must satisfy according to this principle. I argue that, although de Sousa seems officially to endorse a structuralist conception of rationality, according to which these requirements are requirements of coherence, his considerations on formal objects suggest that they are more aptly conceived in terms of a reasons-responsive conception of rationality. I further argue that which of these two readings we choose makes a significant difference to the prospect of vindicating the essential normativity of mind by invoking the principle of minimal rationality. (shrink)

In this paper, I challenge a familiar argument -- a composite of arguments in the literature -- for the view that “Why be moral?” is a pseudo-question. I do so by refuting a component of that argument, a component that is not only crucial to the argument but important in its own right. That component concerns the status of moral reasons in replies to “Why be moral?”; consequently, this paper concerns reasons and rationality no less than it concerns morality. The (...) work I devote to those topics shows not only that the argument I address is unsound, but that the conclusion of that argument is false. “Why be moral?” is no pseudo-question. (shrink)

It is now standard to distinguish between two kinds of rationality: substantive rationality, which consists in holding attitudes that are substantively reasonable or justified, and structural rationality, which consists in holding attitudes that fit together in the right ways. What, if anything, unifies these two kinds of rationality? In this paper, I propose that norms of rationality arise because we are epistemically limited beings who cannot directly ensure the correctness of our attitudes. Substantive and structural rationality represent two different ways (...) of manifesting a fundamental commitment to getting things correct, given our epistemic limitations. Correspondingly, substantive and structural irrationality are distinct rational failures. Substantively irrational attitudes involve a failure to live up to the commitments that constitute those attitudes. Structurally irrational combinations of attitudes are constituted by inconsistent commitments, which guarantees that we will fail to live up to at least some of our commitments in holding these attitudes. (shrink)

It is commonly thought that one is irrationally akratic when one believes one ought to F but does not intend to F. However, some philosophers, following Robert Audi, have argued that it is sometimes rational to have this combination of attitudes. I here consider the question of whether rational akrasia is possible. I argue that those arguments for the possibility of rational akrasia advanced by Audi and others do not succeed. Specifically, I argue that cases in which (...) an akratic agent acts as he has most reason to act, and cases in which an akratic agent achieves a kind of global coherence he wouldn’t have achieved had he instead formed intentions in line with his best judgment, do not establish the possibility of rational akrasia. However, I do think that rational akrasia is possible, and I present two arguments for this thesis. The first argument involves a case in which one is incapable of revising one’s belief about what one ought to do, where one also acknowledges this belief to be insufficiently supported by the evidence. The second argument involves a case in which one rationally believes that one ought to have an akratic combination of attitudes. (shrink)

A guide to the first steps into the world of Geometry, Trigonometry and their lines-of-reasoning widely used through the high school and first years of college, in the exact-sciences context.

The reasoning view of rational normativity claims that structural rationality is normative for reasoning. Specifically, it claims that structural rationality gives us reasons to structure deliberation in ways that respect the requirements of rationality. This paper critically assesses the reasoning view. It argues that while the reasoning view might succeed in responding to arguments against the normativity of rationality, it is in tension with the motivations for thinking that rationality is normative in the first place. Moreover, proponents of the (...) view do not offer any independent reason for thinking that the view is true. As such, we have no reason to accept the reasoning view. (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)

Abstract: According to a rationalist theory of introspection, rational agents have a capacity to believe they are in conscious states when they are in them, much as they have the capacity, for example, to avoid obvious contradictions in their beliefs. For the agent to know or believe by introspection, on this view, is for them to exercise that capacity. According to an acquaintance theory of introspection, by contrast, whenever an agent is in a conscious state, the agent is aware (...) of or is acquainted with being in the state, where the background notion of acquaintance is understood to be distinct from sense perception, on the one hand, and belief or knowledge, or the other. For the agent to know or believe by introspection, on this view, is for them to take advantage of the epistemic position they occupy in virtue of being acquainted in this way. These theories are not in conflict; it is possible to hold both an acquaintance theory and a rationalist theory. This paper, however, sets out and recommends a different possibility, namely, that of holding a rationalist theory while rejecting any acquaintance theory. (shrink)

What should a person do when, through no fault of her own, she ends up believing a false moral theory? Some suggest that she should act against what the false theory recommends; others argue that she should follow her rationally held moral beliefs. While the former view better accords with intuitions about cases, the latter one seems to enjoy a critical advantage: It seems better able to render moral requirements ‘followable’ or ‘action-guiding.’ But this tempting thought proves difficult to justify. (...) Indeed, whether it can be justified turns out to depend importantly on the rational status of epistemic akrasia. Furthermore, it can be argued, from premises all parties to the moral ignorance debate should accept, that rational epistemic akrasia is possible. If the argument proves successful, it follows that a person should sometimes act against her rationally held moral convictions. (shrink)

Elective mathematics has been an extra mathematics subject for pilot students of Eduardo Barretto Sr. National High School for quite some time now. Through this, many alumni testified how this helped them understand senior high school and college math. However, the teachers have also been struggling with the resources for specific areas of mathematics, such as Business Math, Statistics, Analytic Geometry, Trigonometry, and Calculus. When the pandemic hit the Philippines, contextualized learning material aligned with the Most Essential Learning Competencies (...) (MELC) helped elective mathematics teachers. The contextualized learning material was developed from April to August 2020 and was first validated in February 2021 by the students who participated in the pilot testing. However, following the due process, it was suggested that I revalidate the IDEA-formatted Analytic Geometry and Trigonometry instructional material. It examines Eduardo Barretto Sr. National High School mathematics teachers and SDO Calamba City experts' evaluation of the content's topics, objectives, concepts, directions, and activities and the format's prints, illustrations, design, and layout. Participants' perceptions of learning material were assessed using a 4-point Likert Scale survey. Hence, descriptive quantitative design. Participants were surveyed using a 4-point Likert Scale to assess their learning content impression. The findings reveal that the participants found the format and content of the developed learning material to be very satisfactory. The indicators "localized" and "can be done independently" were viewed as Fair and Satisfactory, respectively. The learning material was enhanced by localizing the activities and giving directions that could facilitate self-learning. (shrink)

This essay is about the relationship between the notions of practical reason, the will, and choice in Kant’s practical philosophy. Although Kant explicitly identifies practical reason and the will, many interpreters argue that he cannot really mean it on the grounds that unless they are distinct, irrational and, especially, immoral action is impossible. Other readers affirm his identification but distinguish the will from choice on the same basis. We argue that proper attention to Kant’s conception of practical reason as a (...) capacity reveals that these distinctions are neither textually grounded nor philosophically necessary. His moral psychology concerns a single capacity, practical reason, which is the will, and whose actualities in this or that individual fall under the title of choice. Practical reason is the will and choice because it is the rational faculty of desire: a rational being’s capacity to be, by means of her representations, the cause of the actuality of their objects. This, we argue, is entailed by his conception of rational action: action not just in accordance with, but in and through the representation of, principles. The possibility of irrational action is explained not by a distinction between capacities but by the finitude, and thereby the fallibility, of human reason. (shrink)

The paper argues against a widely held synchronic view of emotional rationality. I begin by considering recent philosophical literature on various backward‐looking emotions, such as regret, grief, resentment, and anger. I articulate the general problem these accounts grapple with: a certain diminution in backward‐looking emotions seems fitting while the reasons for these emotions seem to persist. The problem, I argue, rests on the assumption that if the facts that give reason for an emotion remain unchanged, the emotion remains fitting. However, (...) I argue there are rationally self‐consuming attitudes: affective attitudes that become less fitting the longer they endure while the facts that give reason for them persist. A widely held synchronic view of fitting affective attitudes denies that fittingness at a time depends on the agent's attitudes at different times and therefore denies that the fittingness of an affective attitude can depend on its duration. Once we reject the synchronic view, we may see that affective attitudes are often fitting due to the fitting processes of which they are part. These fitting processes explain the fitting diminution of backward‐looking emotions as well as other diachronic aspects of the fittingness of emotions. -/- . (shrink)

Timothy Hsiao argues that animals lack moral status because they lack the capacity for the sort of higher-level rationality required for membership in the moral community. Stijn Bruers and László Erdős have already raised a number of objections to this argument, to which Hsiao has replied with some success. But I think a stronger critique can be made. Here I raise further objections to three aspects of Hsiao's view: his conception of the moral community, his idea of root capacities grounded (...) in one's nature, and his explanation of why cruelty is wrong. I also argue that sentience is a more plausible candidate for the morally salient capacity than rationality. (shrink)

There are at least two threads in our thought and talk about rationality, both practical and theoretical. In one sense, to be rational is to respond correctly to the reasons one has. Call this substantive rationality. In another sense, to be rational is to be coherent, or to have the right structural relations hold between one’s mental states, independently of whether those attitudes are justified. Call this structural rationality. According to the standard view, structural rationality is associated with (...) a distinctive set of requirements that mandate or prohibit certain combinations of attitudes, and it’s in virtue of violating these requirements that incoherent agents are irrational. I think the standard view is mistaken. The goal of this paper is to explain why, and to motivate an alternative account: rather than corresponding to a set of law-like requirements, structural rationality should be seen as corresponding to a distinctive kind of pro tanto rational pressure—i.e. something that comes in degrees, having both magnitude and direction. Something similar is standardly assumed to be true of substantive rationality. On the resulting picture, each dimension of rational evaluation is associated with a distinct kind of rational pressure—substantive rationality with (what I call) justificatory pressure and structural rationality with attitudinal pressure. The former is generated by one’s reasons while the latter is generated by one’s attitudes. Requirements turn out to be at best a footnote in the theory of rationality. (shrink)

According to Popper's rationality principle, agents act in the most adequate way according to the objective situation. I propose a new interpretation of the rationality principle as consisting of an idealization and two abstractions. Based on this new interpretation, I critically discuss the privileged status that Popper ascribes to it as an integral part of all social scientific models. I argue that as an idealization, the rationality principle may play an important role in the social sciences, but it also has (...) inherent limitations that inhibit it from having the privileged status that Popper ascribes to it in all cases. (shrink)

The issue whether psychopathic offenders are practically rational has attracted philosophical attention. The problem is relevant in theoretical discussions on moral psychology and in those concerning the appropriate social response to the crimes of these individuals. We argue that classical and current experiments concerning the instrumental learning in psychopaths cannot directly support the conclusion that they have impaired instrumental rationality, construed as the ability for transferring the motivation by means-ends reasoning. In fact, we defend the different claim that these (...) experiments appear to show that psychopaths in certain circumstances are not aware of the relevant means for their ends. Moreover, we suggest how further empirical research could help to settle the issue. (shrink)

This paper is about the connection between rationality and accuracy. I show that one natural picture about how rationality and accuracy are connected emerges if we assume that rational agents are rationally omniscient. I then develop an alternative picture that allows us to relax this assumption, in order to accommodate certain views about higher order evidence.

What is structural rationality? Specifically, what is the distinctive feature of structural requirements of rationality? Some philosophers have argued, roughly, that the distinctive feature of structural requirements is coherence. But what does coherence mean, exactly? Or, at least, what do structuralists about rationality have in mind when they claim that structural rationality is coherence? This issue matters for making progress in various active debates concerning rationality. In this paper, I analyze three strategies for figuring out what coherence means in the (...) debates on structural rationality. I argue that these strategies face problems. (shrink)

Epistemic akrasia arises when one holds a belief even though one judges it to be irrational or unjustified. While there is some debate about whether epistemic akrasia is possible, this paper will assume for the sake of argument that it is in order to consider whether it can be rational. The paper will show that it can. More precisely, cases can arise in which both the belief one judges to be irrational and one’s judgment of it are epistemically (...) class='Hi'>rational in the sense that both are supported by sufficient evidence. (shrink)

According to epistemological disjunctivism (ED), in paradigmatic cases of perceptual knowledge, a subject, S, has perceptual knowledge that p in virtue of being in possession of reasons for her belief that p which are both factive and reflectively accessible to S. It has been argued that ED is better placed than both knowledge internalism and knowledge externalism to undercut underdetermination-based skepticism. I identify several principles that must be true if ED is to be uniquely placed to attain this goal. After (...) that, I use those principles to formulate a diachronic skeptical argument. This argument yields the counterintuitive conclusion that understanding a global skeptical hypothesis is all it takes for a rational subject to lose all her perceptual knowledge of the world. Next, I show that a popular Austinian move must reject one or another of the principles that underlie ED. I close by delineating a novel strategy that can block the diachronic skeptical argument while preserving all the principles. The key idea is that perceptual knowledge is grounded in primitive, perceptual and recognitional abilities. This view sheds new light on some puzzling features of global skepticism that have been noted by Descartes and Hume, among others. (shrink)

Prima facie, we make successful decisions as we act on and intervene in the world day-to-day. Epistemologists are often concerned with whether rationality is involved in such decision-making practices, and, if so, to what degree. Some, particularly in the post-structuralist tradition, argue that successful decision-making occurs via an existential leap into the unknown rather than via any determinant or criterion such as rationality. I call this view radical voluntarism (RV). Proponents of RV include those who subscribe to a view they (...) call Critical Complexity (CC). In this paper, I argue that CC presents a false dichotomy when it conceives of rationality in Cartesian – i.e. ideal and transcendental – terms, and then concludes that RV is the proper alternative. I then outline a pragmatist rationality informed by recent work in psychology on bounded rationality, ecological rationality, and specifically embodied rationality. Such a pragmatist rationality seems to be compatible with the tenets of post-structuralism, and can therefore replace RV in CC. (shrink)

We argue that the aesthetic domain falls inside the scope of rationality, but does so in its own way. Aesthetic judgment is a stance neither on whether a proposition is to be believed nor on whether an action is to be done, but on whether an object is to be appreciated. Aesthetic judgment is simply appreciation. Correlatively, reasons supporting theoretical, practical and aesthetic judgments operate in fundamentally different ways. The irreducibility of the aesthetic domain is due to the fact that (...) aesthetic judgment is a sensory-affective disclosure of, and responsiveness to, merit: it is a feeling that presents an object, and is responsive to it, as worthy of being liked. Aesthetic judgment is thus shown to be, on the hand, first personal and non-transferable; and, on the other hand, a presentation of reality. We thereby capture what is right in both subjectivist and objectivist conceptions of aesthetic judgment. (shrink)

The demands of rationality are linked both to our subjective normative perspective (given that rationality is a person-level concept) and to objective reasons or favoring relations (given that rationality is non-contingently authoritative for us). In this paper, I propose a new way of reconciling the tension between these two aspects: roughly, what rationality requires of us is having the attitudes that correspond to our take on reasons in the light of our evidence, but only if it is competent. I show (...) how this view can account for structural rationality on the assumption that intentions and beliefs as such involve competent perceptions of downstream reasons, and explore various implications of the account. (shrink)

John Broome argues that rationality cannot consist in reasons-responsiveness since rationality supervenes on the mind, while reasons-responsiveness does not supervene on the mind. I here defend this conception of rationality by way of defending the assumption that reasons-responsiveness supervenes on the mind. Given the many advantages of an analysis of rationality in terms of reasons-responsiveness, and in light of independent considerations in favour of the view that reasons-responsiveness supervenes on the mind, we should take seriously the backup view, a hypothesis (...) that explains why reasons-responsiveness supervenes on the mind even though paradigmatic reasons are external facts. I argue that Broome’s objections to the backup view, as well as his more general objection to the thesis that reasons-responsiveness supervenes on the mind, do not succeed. (shrink)

Constitutivist approaches to the normativity of rationality have recently come into vogue. Unlike their moral counterparts, however, they have not been confronted with the shmagency objection. In this paper, I challenge them with two versions of the objection based on recent developments in the debate surrounding the normativity of morality. These are shmagency as modal escapability, which is based on taking sophisticated shmagents to be able to modally escape various norms, and shmagency as underdetermination, which is based on taking constitutive (...) norms that allegedly have independent value to be underdetermined by that value. I consider three different kinds of constitutivist theories of the normativity of rationality: first-person-authority views, single-mental-state views, and systems-of-mental-states views. None of the three are able to deal with either of these shmagency objections. There are sophisticated shmagents who escape all these types of constitutivist principles of rationality, so they are modally escapable, and the value of rationality underdetermines all the views. Upshot: constitutivists about structural rationality ought to worry about shmagency. (shrink)

This paper explores an initially attractive principle connecting beliefs in general with beliefs about what beliefs are rational. The principle turns out to be violated by intuitively rational beliefs in some situations. The paper lays out some options for reacting to this fact.

Consequentialists often assume rational monism: the thesis that options are always made rationally permissible by the maximization of the selfsame quantity. This essay argues that consequentialists should reject rational monism and instead accept rational pluralism: the thesis that, on different occasions, options are made rationally permissible by the maximization of different quantities. The essay then develops a systematic form of rational pluralism which, unlike its rivals, is capable of handling both the Newcomb problems that challenge evidential (...) decision theory and the unstable problems that challenge causal decision theory. (shrink)

Permissivism about rationality is the view that there is sometimes more than one rational response to a given body of evidence. In this paper I discuss the relationship between permissivism, deference to rationality, and peer disagreement. I begin by arguing that—contrary to popular opinion—permissivism supports at least a moderate version of conciliationism. I then formulate a worry for permissivism. I show that, given a plausible principle of rational deference, permissive rationality seems to become unstable and to collapse into (...) unique rationality. I conclude with a formulation of a way out of this problem on behalf of the permissivist. (shrink)

Suppose that it is rational to choose or intend a course of action if and only if the course of action maximizes some sort of expectation of some sort of value. What sort of value should this definition appeal to? According to an influential neo-Humean view, the answer is “Utility”, where utility is defined as a measure of subjective preference. According to a rival neo-Aristotelian view, the answer is “Choiceworthiness”, where choiceworthiness is an irreducibly normative notion of a course (...) of action that is good in a certain way. The neo-Humean view requires preferences to be measurable by means of a utility function. Various interpretations of what exactly a “preference” is are explored, to see if there is any interpretation that supports the claim that a rational agent’s “preferences” must satisfy the “axioms” that are necessary for them to be measurable in this way. It is argued that the only interpretation that supports the idea that the rational agent’s preferences must meet these axioms interprets “preferences” as a kind of value-judgment. But this turns out to be version of the neo-Aristotelian view, rather than the neo-Humean view. Rational intentions maximize expected choiceworthiness, not expected utility. (shrink)

The approximate number system (ANS) enables organisms to represent the approximate number of items in an observed collection, quickly and independently of natural language. Recently, it has been proposed that the ANS goes beyond representing natural numbers by extracting and representing rational numbers (Clarke & Beck, 2021a). Prior work demonstrates that adults and children discriminate ratios in an approximate and ratio-dependent manner, consistent with the hallmarks of the ANS. Here, we use a well-known “connectedness illusion” to provide evidence that (...) these ratio-dependent ratio discriminations are (a) based on the perceived number of items in seen displays (and not just non-numerical confounds), (b) are not dependent on verbal working memory, or explicit counting routines, and (c) involve representations with a part-whole (or subset-superset) format, like a fraction, rather than a part-part format, like a ratio. These results vindicate key predictions of the hypothesis that the ANS represents rational numbers. (shrink)

Different people reason differently, which means that sometimes they reach different conclusions from the same evidence. We maintain that this is not only natural, but rational. In this essay we explore the epistemology of that state of affairs. First we will canvass arguments for and against the claim that rational methods of reasoning must always reach the same conclusions from the same evidence. Then we will consider whether the acknowledgment that people have divergent rational reasoning methods should (...) undermine one’s confidence in one’s own reasoning. Finally we will explore how agents who employ distinct yet equally rational methods of reasoning should respond to interactions with the products of each others’ reasoning. We find that the epistemology of multiple reasoning methods has been misunderstood by a number of authors writing on epistemic permissiveness and peer disagreement. (shrink)

In “Can it be rational to have faith?”, it was argued that to have faith in some proposition consists, roughly speaking, in stopping one’s search for evidence and committing to act on that proposition without further evidence. That paper also outlined when and why stopping the search for evidence and acting is rationally required. Because the framework of that paper was that of formal decision theory, it primarily considered the relationship between faith and degrees of belief, rather than between (...) faith and belief full stop. This paper explores the relationship between rational faith and justified belief, by considering four prominent proposals about the relationship between belief and degrees of belief, and by examining what follows about faith and belief according to each of these proposals. It is argued that we cannot reach consensus concerning the relationship between faith and belief at present because of the more general epistemological lack of consensus over how belief relates to rationality: in particular, over how belief relates to the degrees of belief it is rational to have given one’s evidence. (shrink)

This paper proposes a new account of bounded or minimal doxastic rationality (in the sense of Cherniak 1986), based on the notion that beliefs are answers to questions (à la Yalcin 2018). The core idea is that minimally rational beliefs are linked through thematic connections, rather than entailment relations. Consequently, such beliefs are not deductively closed, but they are closed under parthood (where a part is an entailment that answers a smaller question). And instead of avoiding all inconsistency, minimally (...) rational believers only avoid blatant inconsistencies (where some beliefs are blatantly inconsistent when they contradict one another on a particular question). Rather than cohering into a single overall world view, beliefs are more loosely connected in what is best described as a web of questions. This view of minimally rational belief naturally gives rise to an account of deductive inquiry on which deductive reasoning is a matter of posing new questions. (shrink)

A number of formal epistemologists have argued that perfect rationality requires probabilistic coherence, a requirement that they often claim applies only to ideal agents. However, in “Rationality as an Absolute Concept,” Roy Sorensen contends that ‘rational’ is an absolute term. Just as Peter Unger argued that being flat requires that a surface be completely free of bumps and blemishes, Sorensen claims that being rational requires being perfectly rational. When we combine these two views, though, they lead to (...) counterintuitive results. If being rational requires being perfectly rational, and only the probabilistically coherent are perfectly rational, then this indicts all ordinary agents as irrational. In this paper, I will attempt to resolve this conflict by arguing that Sorensen is only partly correct. One important sense of ‘rational’, the sanctioning sense of ‘rational’, is an absolute term, but another important sense of ‘rational’, the sense in which someone can have rational capacities, is not. I will, then, show that this distinction has important consequences for theorizing about ideal rationality, developing an account of the relationship between ordinary and ideal rationality. Because the sanctioning sense of ‘rational’ is absolute, it is rationally required to adopt the most rational attitude available, but which attitude is most rational can change depending on whether we are dealing with ideal agents or people more like ourselves. (shrink)

Theories of rational decision making often abstract away from computational and other resource limitations faced by real agents. An alternative approach known as resource rationality puts such matters front and center, grounding choice and decision in the rational use of finite resources. Anticipated by earlier work in economics and in computer science, this approach has recently seen rapid development and application in the cognitive sciences. Here, the theory of rationality plays a dual role, both as a framework for (...) normative assessment and as a source of scientific hypotheses about how mental processes in fact work. The latter project, often called rational analysis, depends for its success on a fine-grained characterization of the computational problem facing a decision maker, which may in turn depend on realistic assumptions about what the relevant agent is like. As a consequence, resource rationality involves a delicate, but often fruitful interplay between the normative and the descriptive. (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)

A choice function C is rational iff: if it allows a path through a sequence of decisions with a particular outcome, then that outcome is amongst the ones that C would have chosen from amongst all the possible outcomes of the sequence. This implies, and it is the strongest definition that implies, that anyone who is irrational could be talked out of their own preferences. It also implies weak but non-vacuous constraints on choices over ends. These do not include (...) alpha or beta. (shrink)

Whereas Bayesians have proposed norms such as probabilism, which requires immediate and permanent certainty in all logical truths, I propose a framework on which credences, including credences in logical truths, are rational because they are based on reasoning that follows plausible rules for the adoption of credences. I argue that my proposed framework has many virtues. In particular, it resolves the problem of logical omniscience.

Which premisses should we use to start our inquiries? Which transitions during inquiry should we take next? When should we switch lines of inquiry? In this paper, I address these open questions about inquiry, formulating novel norms for such decisions during deductive reasoning. I use the first-order predicate calculus, in combination with Carnap’s state description framework, to state such norms. Using that framework, I first demonstrate some properties of sets of sentences used in deduction. I then state some norms for (...) decisions made during deductive reasoning, establishing initial benchmarks for efficient deduction by ideal reasoners. When deciding which transition to make next, reasoners should choose the most informative transition, the one that maximally reduces uncertainty in the sense of ruling out the largest number of state descriptions relevant to their inquiry. Finally, inspired by optimal foraging theory, I show that, under certain assumptions of ignorance, reasoners should change premiss sets when their information intake drops below the global average information intake across premiss sets. (shrink)

The requirements of rationality are fundamental in practical and theoretical philosophy. Nonetheless, there exists no correct account of what constitutes rational requirements. This paper attempts to provide a correct constitutive account of ‘rationality requires’. I argue that rational requirements are grounded in ‘necessary explanations of subjective incoherence’, as I shall put it. Rationality requires of you to X if and only if your rational capacities, in conjunction with the fact that you not-X, explain necessarily why you have (...) a non-maximal degree of subjective coherence. (shrink)

Sufferers of eating disorders often hold false beliefs about their own body size. Such beliefs appear to violate norms of rationality, being neither grounded by nor responsive to appropriate forms of evidence. I defend the rationality of these beliefs. I argue that they are in fact supported by appropriate evidence, emanating from proprioceptive misperception of bodily boundaries. This argument has far‐reaching implications for the explanation and treatment of eating disorders, as well as debates over the relationship between rationality and human (...) psychology. (shrink)

According to a classic position in analytic philosophy of mind, we must interpret agents as largely rational in order to be able to attribute intentional mental states to them. However, adopting this position requires clarifying in what way and by which criteria agents can still be irrational. In this paper I will offer one such criterion. More specifically, I argue that the kind of rationality methodologically required by intentional interpretation is to be specified in terms of psychological efficacy. Thereby, (...) this notion can be distinguished from a more commonly used notion of rationality and hence cannot be shown to be undermined by the potential prevalence of a corresponding kind of irrationality. (shrink)

Closure for justification is the claim that thinkers are justified in believing the logical consequences of their justified beliefs, at least when those consequences are competently deduced. Many have found this principle to be very plausible. Even more attractive is the special case of Closure known as Single-Premise Closure. In this paper, I present a challenge to Single-Premise Closure. The challenge is based on the phenomenon of rational self-doubt – it can be rational to be less than fully (...) confident in one's beliefs and patterns of reasoning. In rough outline, the argument is as follows: Consider a thinker who deduces a conclusion from a justified initial premise via an incredibly long sequence of small competent deductions. Surely, such a thinker should suspect that he has made a mistake somewhere. And surely, given this, he should not believe the conclusion of the deduction even though he has a justified belief in the initial premise. (shrink)

I argue that several of the psychological tendencies that drive polarization could arise from purely rational mechanisms, due to the fact that some types of evidence are predictably more ambiguous than others.

Here is a dilemma concerning the history of science. Can the history of scientific thought be reduced to the history of the beliefs, motives and actions of scientists? Or should we think of the history of scientific thought as in some sense independent from the history of scientists? The aim of this paper is to carve out an intermediate position between these two. I will argue that the history of scientific thought supervenes on, but not reducible to, the history of (...) scientists. There is a legitimate level of description for analyzing the history of scientific thought that does not reduce to the individual level of scientists. Yet, every aspect of the history of scientific thought is determined by the actual motives and actions of individual scientists. Maybe surprisingly, I use Imre Lakatos’s controversial concept of the rational reconstruction of the history of science in order to argue for this intermediate position. (shrink)

Predictable polarization is everywhere: we can often predict how people’s opinions, including our own, will shift over time. Extant theories either neglect the fact that we can predict our own polarization, or explain it through irrational mechanisms. They needn’t. Empirical studies suggest that polarization is predictable when evidence is ambiguous, that is, when the rational response is not obvious. I show how Bayesians should model such ambiguity and then prove that—assuming rational updates are those which obey the value (...) of evidence—ambiguity is necessary and sufficient for the rationality of predictable polarization. The main theoretical result is that there can be a series of such updates, each of which is individually expected to make you more accurate, but which together will predictably polarize you. Polarization results from asymmetric increases in accuracy. This mechanism is not only theoretically possible, but empirically plausible. I argue that cognitive search—searching a cognitively accessible space for a particular item—often yields asymmetrically ambiguous evidence, I present an experiment supporting its polarizing effects, and I use simulations to show how it can explain two of the core causes of polarization: confirmation bias and the group polarization effect. (shrink)

Rationalization in the sense of biased self-justification is very familiar. It's not cheating because everyone else is doing it too. I didn't report the abuse because it wasn't my place. I understated my income this year because I paid too much in tax last year. I'm only a social smoker, so I won't get cancer. The mental mechanisms subserving rationalization have been studied closely by psychologists. However, when viewed against the backdrop of philosophical accounts of the regulative role of truth (...) in doxastic deliberation , rationalization can look very puzzling. Almost all contemporary philosophers endorse a version of the thesis of deliberative exclusivity—a thinker cannot in full consciousness decide whether to believe that p in a way that issues directly in forming a belief by adducing anything other than considerations that he or she regards as relevant to the truth of p. But, as I argue, rationalization involves the weighing of considerations that the thinker kn.. (shrink)

Finite agents such as human beings have reasoning and updating processes that are extended in time; consequently, there is always some lag between the point at which we gain new reasons and the point at which our attitudes have fully responded to those reasons. This phenomenon, which I call rational delay, poses a threat to the most common ways of formulating rational requirements on our attitudes, which do not allow rational beings to exhibit such delay. In this (...) paper, I show first how this problem undermines synchronic formulations of rational norms. Then I show how it likewise undermines the most natural diachronic modifications of these norms. Ultimately, I argue that a successful account of rational delay will reject norms that directly govern attitudes or states of mind like belief and intention altogether, in favor of norms that fundamentally concern temporally extended rational processes like deliberation. (shrink)

This paper seeks to elucidate the distinctive nature of the rational impression on its own terms, asking precisely what it means for the Stoics to define logikē phantasia as an impression whose content is expressible in language. I argue first that impression, generically, is direct and reflexive awareness of the world, the way animals get information about their surroundings. Then, that the rational impression, specifically, is inherently conceptual, inferential, and linguistic, i.e. thick with propositional content, the way humans (...) receive incoming information from the world. When we suspend certain contemporary assumptions about propositional content, the textual evidence can be taken at face value to reveal why, for the Stoics, rational impressions are called thoughts (noēseis) and how the Stoics’ novel semantic entities called lekta (roughly, the meanings of our words) depend on rational impressions for their subsistence. (shrink)