Agents are often assumed to have degrees of belief (“credences”) and also binary beliefs (“beliefs simpliciter”). How are these related to each other? A much-discussed answer asserts that it is rational to believe a proposition if and only if one has a high enough degree of belief in it. But this answer runs into the “lottery paradox”: the set of believed propositions may violate the key rationality conditions of consistency and deductive closure. In earlier work, we showed (...) that this problem generalizes: there exists no local function from degrees of belief to binary beliefs that satisfies some minimal conditions of rationality and non-triviality. “Locality” means that the binary belief in each proposition depends only on the degree of belief in that proposition, not on the degrees of belief in others. One might think that the impossibility can be avoided by dropping the assumption that binary beliefs are a function of degrees of belief. We prove that, even if we drop the “functionality” restriction, there still exists no local relation between degrees of belief and binary beliefs that satisfies some minimal conditions. Thus functionality is not the source of the impossibility; its source is the condition of locality. If there is any non-trivial relation between degrees of belief and binary beliefs at all, it must be a “holistic” one. We explore several concrete forms this “holistic” relation could take. (shrink)

What is the relationship between degrees of belief and binary beliefs? Can the latter be expressed as a function of the former—a so-called “belief-binarization rule”—without running into difficulties such as the lottery paradox? We show that this problem can be usefully analyzed from the perspective of judgment-aggregation theory. Although some formal similarities between belief binarization and judgment aggregation have been noted before, the connection between the two problems has not yet been studied in full generality. In this paper, (...) we seek to fill this gap. The paper is organized around a baseline impossibility theorem, which we use to map out the space of possible solutions to the belief-binarization problem. Our theorem shows that, except in limiting cases, there exists no belief-binarization rule satisfying four initially plausible desiderata. Surprisingly, this result is a direct corollary of the judgment-aggregation variant of Arrow’s classic impossibility theorem in social choice theory. (shrink)

A number of philosophers have argued that it is hard for finite agents like us to reason and make decisions relying solely on our credences and preferences. They hold that for us to cope with our cognitive limitations, we need binary beliefs as well. For they think that such beliefs, by disposing us to treat certain propositions as true, help us cut down on the number of possibilities we need to consider when we reason. But using Ross (...) and Schroeder as my stalking horse, I argue that such an appeal to binary beliefs does not work. I begin by explaining why there’s supposedly a problem for an account of reasoning that invokes only credences and preferences. I then argue that Ross and Schroeder’s account of belief—as well as other similar accounts—does not help solve the problem. Finally, I consider an alternative approach to solving the problem. This approach, unlike the accounts I criticise, does not hold that having a disposition to treat a proposition as true is necessary for believing it. (shrink)

Suppose we wish to provide a naturalistic account of intentionality. Like several other philosophers, we focus on the intentionality of belief, hoping that we may later supplement our account to accommodate other intentional states like desires and fears. Now suppose that we also take partial beliefs or credences seriously. In cashing out our favoured theory of intentionality, we may for the sake of simplicity talk as if belief is merely binary or all-or-nothing. But we should be able to (...) supplement or modify our account to accommodate credences. I shall argue, however, that it is difficult to do so with respect to certain causal or teleological theories of intentionality-in particular, those advanced by the likes of Stalnaker (Inquiry, 1984) and Millikan (J Philos 86:281–297, 1989). I shall first show that such theories are tailor-made to account for the intentionality of binary beliefs. Then I shall argue that it is hard to extend or supplement such theories to accommodate credences. Finally, I shall offer some natural ways of modifying the theories that involve an appeal to objective probabilities. But unfortunately, such modifications face problems. (shrink)

This essay discusses the difficulty to reconcile two paradigms about beliefs: the binary or categorical paradigm of yes/no beliefs and the probabilistic paradigm of degrees of belief. The possibility for someone to hold both types of belief simultaneously is challenged by the lottery paradox, and more recently by a general impossibility theorem by Dietrich and List (2018, 2021). The nature, relevance, and implications of the tension are explained and assessed.

This symposium in the overlap of philosophy and decision theory is described well by its title “Beliefs in Groups”. Each word in the title matters, with one intended ambiguity. The symposium is about beliefs rather than other attitudes such as preferences; these beliefs take the form of probabilities in the first three contributions, binary yes/no beliefs (‘judgments’) in the fourth contribution, and qualitative probabilities (‘probability grades’) in the fifth contribution. The beliefs occur in groups, (...) which is ambiguous between beliefs of groups as a whole and beliefs of group members. The five contributions – all of them interesting, we believe – address several aspects of this general theme. (shrink)

Pronouns often convey information about a person’s social identity (e.g., gender). Consequently, pronouns have become a focal point in academic and public debates about whether pronouns should be changed to be more inclusive, such as for people whose identities do not fit current pronoun conventions (e.g., gender non-binary individuals). Here, we make an empirical contribution to these debates by investigating which social identities lay speakers think that pronouns should encode and why. Across four studies, participants were asked to evaluate (...) different types of real and hypothetical pronouns, including binary gender pronouns, race pronouns, and identity-neutral pronouns. We sampled participants from two languages with different pronoun systems: English (N = 1,120) and Turkish (N = 260). English pronouns commonly denote binary gender (e.g., he for men), whereas Turkish pronouns are identity-neutral (e.g., o for anyone). Participants’ reasoning about pronouns reflected both a familiarity preference (i.e., participants preferred the pronoun type used in their language) and—critically—participants’ social ideologies. In both language contexts, participants’ ideological beliefs that social groups are inherently distinct (essentialism) and should be hierarchal (social dominance orientation) predicted relatively greater endorsement of binary gender pronouns and race pronouns. A preregistered experimental study with an English-speaking sample showed that the relationship between ideology and pronoun endorsement is causal: Ideologies shape attitudes toward pronouns. Together, the present research contributes to linguistic and psychological theories concerning how people reason about language and informs policy-relevant questions about whether and how to implement language changes for social purposes. (shrink)

English abstract: This paper discusses the delicate relationship between traditional epistemology and the increasingly influential probabilistic (or ‘Bayesian’) approach to epistemology. The paper introduces some of the key ideas of probabilistic epistemology, including credences or degrees of belief, Bayes’ theorem, conditionalization, and the Dutch Book argument. The tension between traditional and probabilistic epistemology is brought out by considering the lottery and preface paradoxes as they relate to rational (binary) belief and credence respectively. It is then argued that this tension (...) can be alleviated by rejecting the requirement that rational (binary) beliefs must be consistent and closed under logical entailment. Instead, it is suggested that this logical requirement applies to a different type of binary propositional attitude, viz. acceptance. (shrink)

Reliabilists hold that a belief is doxastically justified if and only if it is caused by a reliable process. But since such a process is one that tends to produce a high ratio of true to false beliefs, reliabilism is on the face of it applicable to binary beliefs, but not to degrees of confidence or credences. For while beliefs admit of truth or falsity, the same cannot be said of credences in general. A natural question (...) now arises: Can reliability theories of justified belief be extended or modified to account for justified credence? In this paper, I address this question. I begin by showing that, as it stands, reliabilism cannot account for justified credence. I then consider three ways in which the reliabilist may try to do so by extending or modifying her theory, but I argue that such attempts face certain problems. After that, I turn to a version of reliabilism that incorporates evidentialist elements and argue that it allows us to avoid the problems that the other theories face. If I am right, this gives reliabilists a reason, aside from those given recently by Comesaña and Goldman, to move towards such a kind of hybrid theory. (shrink)

The science of operations research is one of the modern sciences that have made a great revolution in all areas of life through the methods provided by it, suitable and appropriate to solve most of the problems that were facing researchers, scholars and those interested in the development of societies, and the most beneficiaries of this science were companies and institutions that are looking for scientific methods that help them manage their work so that they achieve the greatest profit and (...) the lowest cost, and one of the important methods that have been used in the management of companies we offer in this research two methods, Dynamic programming method. This method has been used in many practical matters and helped decision-makers in companies to achieve a maximum profit and less cost by formulating the reality of the state of the company and the data provided by decision-makers with a dynamic mathematical model that is solved using methods of solving dynamic models and we will provide in this research an example of this through the issue of choosing the optimal investment for the budget of a company so that it achieves a maximum profit, and the method of programming with integers: the method that provided these companies with solutions with integer values suitable for the nature of its work, through the use of the binary integer in the formulation of the appropriate mathematical model on the one hand, and on the other hand, the use of the binary integer variable helped to convert some nonlinear models that lead to some practical problems into linear models, and it should be noted here that in the previous two methods there is something indeterminable because we must make a decision in choosing or not choosing something, but the optimal solution that we will get remains A specific value because we are building the mathematical model for any realistic issue through the data provided by those responsible for the work and these data are calculated quantities and therefore they are uncertain values because their validity depends on the circumstances surrounding the work environment, they may be exposed to increase or decrease, and therefore the optimal solution on which the company will base its decision is suitable for specific values and any change in them can cause the company an uncalculated loss, so in this research we will use the concepts of neutrosophic science, the branch of science founded by the American scientist Florentin Smarandache in 1995 based on his belief that there is no absolute truth, a science that is interested in the study of ideas and concepts that are neither true nor false, but just in between, and we will take the data (calculated quantities) neutrosophic values that are specified or unspecified values are any set close to the calculated quantities, then the resulting mathematical model is a neutrosophic model and the optimal solution has neutrosophic values and thanks to the indefinite uncertainty that these values have, companies from the development of appropriate plans for all circumstances and thus achieve the greatest profit and the lowest cost, and we will clarify the above through two issues, the issue of optimal designation of a warehouse site, which we will formulate the mathematical model of using the neutrosophic integer programming method - and the issue of capital budget, which we will present in two different forms, we use in the first form the neutrosophic integer programming method and in the second the neutrosophic dynamic programming method. (shrink)

Suppositions can be introduced in either the indicative or subjunctive mood. The introduction of either type of supposition initiates judgments that may be either qualitative, binary judgments about whether a given proposition is acceptable or quantitative, numerical ones about how acceptable it is. As such, accounts of qualitative/quantitative judgment under indicative/subjunctive supposition have been developed in the literature. We explore these four different types of theories by systematically explicating the relationships canonical representatives of each. Our representative qualitative accounts of (...) indicative and subjunctive supposition are based on the belief change operations provided by AGM revision and KM update respectively; our representative quantitative ones are offered by conditionalization and imaging. This choice is motivated by the familiar approach of understanding supposition as `provisional belief revision' wherein one temporarily treats the supposition as true and forms judgments by making appropriate changes to their other opinions. To compare the numerical judgments recommended by the quantitative theories with the binary ones recommended by the qualitative accounts, we rely on a suitably adapted version of the Lockean thesis. Ultimately, we establish a number of new results that we interpret as vindicating the often-repeated claim that conditionalization is a probabilistic version of revision, while imaging is a probabilistic version of update. (shrink)

Assuming that votes are independent, the epistemically optimal procedure in a binary collective choice problem is known to be a weighted supermajority rule with weights given by personal log-likelihood-ratios. It is shown here that an analogous result holds in a much more general model. Firstly, the result follows from a more basic principle than expected-utility maximisation, namely from an axiom (Epistemic Monotonicity) which requires neither utilities nor prior probabilities of the ‘correctness’ of alternatives. Secondly, a person’s input need not (...) be a vote for an alternative, it may be any type of input, for instance a subjective degree of belief or probability of the correctness of one of the alternatives. The case of a profile of subjective degrees of belief is particularly appealing, since here no parameters such as competence parameters need to be known. (shrink)

The my-side bias is a well-documented cognitive bias in the evaluation of arguments, in which reasoners in a discussion tend to overvalue arguments that confirm their prior beliefs, while undervaluing arguments that attack their prior beliefs. The first part of this paper develops and justifies a Bayesian model of myside bias at the level of individual reasoning. In the second part, this Bayesian model is implemented in an agent-based model of group discussion among myside-biased agents. The agent-based model (...) is then used to perform a number of experiments with the objective to study whether the myside bias hinders or enhances the ability of groups to collectively track the truth, that is, to reach the correct answer to a given binary issue. An analysis of the results suggests the following: First, whether the truth-tracking ability of groups is helped or hindered by myside bias crucially depends on how the strength of myside bias is differentially distributed across subgroups of discussants holding different beliefs. Second, small groups are more likely to track the truth than larger groups, suggesting that increasing group size has a detrimental effect on collective truth-tracking through discussion. (shrink)

Queer Death Studies (QDS) refers to an emerging transdisciplinary field of research that critically and (self) reflexively investigates and challenges conventional normativities, assumptions, expectations, and regimes of truths that are brought to life and made evident by death, dying, and mourning. Since its establishment as a research field in the 1970s, Death Studies has drawn attention to the questions of death, dying, and mourning as complex and multifaceted phenomena that require inter- or multi-disciplinary approaches and perspectives. Yet, the engagements with (...) death, dying and mourning, constitutive of conventional Death Studies’ investigations, tend to remain insufficient and reductive. They are often governed by the normative notions of: the subject; bonds between humans, as well as between humans and (their) animals; family relations and communities; rituals; and finally, experiences of grief, mourning, and bereavement. Moreover, these engagements are frequently embedded in constraining beliefs in life/death divides, constructed along the lines of conventional religious and/or scientific mind/body dualisms, characteristic of the Western cultural imaginaries. Against this background, QDS offers a site for ‘queering’ traditional ways of approaching death both as a subject of study and philosophical reflection, and as a phenomenon to articulate in artistic work or practices of mourning. Here, the notion of ‘queer’ conveys many meanings. It refers to researching and narrating death, dying, and mourning in the context of queer bonds and communities, where the subjects involved/studied/interviewed and the relations they are involved in are recognised as ‘queer’. Simultaneously, the term ‘queer’ can also function as an adverb and a verb, referring thus to the processes of going beyond and unsettling (subverting, exceeding) binaries and given norms, normativities, and constraining conventions. In other words, ‘queer’ becomes both a process and a methodology that is applicable and exceeds the focus on gender and sexuality as its exclusive concerns. (shrink)

This paper proposes a reinterpretation of the Chinese worldview on equilibrium/nonequilibrium and yin-yang. Important terminologies and concepts that constitute Yijing have correlative aspects with irreversible thermodynamics and quantum reality- instability, nonlinearity, nonequilibrium and temporality. Ilya Prigogine is a Nobel laureate noted for his contribution to dissipative structures and their role in thermodynamic systems far from equilibrium, complexity and irreversibility. His expressions, as argued in this paper, resonate with the principles in Yijing. Thus, this paper attempts to re-state existing interpretations of (...) Yijing’s ideas with reference to science. Understanding Yijing’s terms and concepts must be contextualised to account for its pervasiveness of temporality and the change process. Otherwise, these cardinal concepts may be misconstrued as a hodgepodge of Eastern traditions with no relevance to modern science. This paper concentrates on the fundamental role of indeterminism in nonlinear systems on classical and quantum levels using Yijing’s conceptual framework. It concludes that the dominant ideas in Yijing and ancient Chinese philosophy resonate with the current scientific belief – the end of certainty. Instability, far-from-equilibrium, irreversibility, probability, bifurcation, and self-organisation are intrinsic properties of nature appearing at all levels, from particle, protein folding, and DNA double helix to cosmological scales. Information is the basis of all changes, and the agency of change is the human (‘ren’) with a consciousness existing in the probability space between heaven (‘tian’) and earth (‘di’). Finally, this paper outlines a modelling approach with the self-organising human in the centre between heaven and earth, representing living systems as discrete dynamical systems presented with binary choices (yin-yang). The interplay of yin and yang lines in a hexagram is thought to reflect the changing dynamics of a given situation, and the interpretation of the hexagram is based on the relationships between the yin and yang lines based on informational availability. In this way, the concepts of yin-yang and information causality are central to Yijing's understanding of change and are clarified in this paper. (shrink)

This dialogue between Achilles and the Tortoise – in the spirit of those of Carroll and Hofstadter – argues against the idea, identified with the “traditional” interpretation of Aristotle’s “sea battle argument”, that future contingents are an exception to the Principle of Bivalence. It presents examples of correct everyday predictions, without which one would not be able to decide and to act; however, doing this is incompatible with the belief that the content of these predictions lacks a truth-value. The cost (...) of using a non-classical logic to cope with that may be too high for Stagirite’s defenders, and they would still need to explain why our ordinary predictions seem to have a binary truth-value. In the end, the paper suggests that the problem of future contingents – and of free will – is not a logical problem at all, but rather a limit on what an agent can believe before taking a decision. (shrink)

Automated reasoning about uncertain knowledge has many applications. One difficulty when developing such systems is the lack of a completely satisfactory integration of logic and probability. We address this problem directly. Expressive languages like higher-order logic are ideally suited for representing and reasoning about structured knowledge. Uncertain knowledge can be modeled by using graded probabilities rather than binary truth-values. The main technical problem studied in this paper is the following: Given a set of sentences, each having some probability of (...) being true, what probability should be ascribed to other (query) sentences? A natural wish-list, among others, is that the probability distribution (i) is consistent with the knowledge base, (ii) allows for a consistent inference procedure and in particular (iii) reduces to deductive logic in the limit of probabilities being 0 and 1, (iv) allows (Bayesian) inductive reasoning and (v) learning in the limit and in particular (vi) allows confirmation of universally quantified hypotheses/sentences. We translate this wish-list into technical requirements for a prior probability and show that probabilities satisfying all our criteria exist. We also give explicit constructions and several general characterizations of probabilities that satisfy some or all of the criteria and various (counter) examples. We also derive necessary and sufficient conditions for extending beliefs about finitely many sentences to suitable probabilities over all sentences, and in particular least dogmatic or least biased ones. We conclude with a brief outlook on how the developed theory might be used and approximated in autonomous reasoning agents. Our theory is a step towards a globally consistent and empirically satisfactory unification of probability and logic. (shrink)

The structure of communication networks can be more or less “democratic”: networks are less democratic if (a) communication is more limited in terms of characteristic degree and (b) is more tightly channeled to a few specifc nodes. Together those measures give us a two-dimensional landscape of more and less democratic networks. We track opinion volatility across that landscape: the extent to which random changes in a small percentage of binary opinions at network nodes result in wide changes across the (...) network as a whole. If wide and frequent swings of popular opinion are taken as a mark of instability, democratic communication networks prove far more stable than anti-democratic ones. In a fnal section, we consider the democratic or anti-democratic character of networks that respond to volatility by rewiring at random, in a search for community, or in a search for a leader. (shrink)

Self-consciousness relates to important themes, such as sentience and personhood, and is often the cornerstone of moral theories (Warren, 1997). However, not much attention is given to future moral creatures of the earth: robots. This may be due to the unsettled status of their experience, which is why I have chosen to find the necessary features of self-consciousness in them. Philosophy of mind is also my interest which I have developed since I rejected the idea of souls and could not (...) account for my own phenomenal experiences. Among the current answers to the hard problem of consciousness (Chalmers, 1995) one stood out to me – Daniel Dennett’s multiple drafts model of consciousness presented in “Consciousness Explained” (Dennett, 1991) and his other works. Daniel Dennett is a self-described illusionist (Dennett, 2016) and a functionalist. His position is synonymous to holding self-conscious experiences, such as deliberating over one’s pain or reflecting over one’s actions insufficient to postulate existence of a metaphysical self. He believes instead that experiences are functional realizations which do not require any self, and the feeling of being conscious or self-conscious is actually a ”user-illusion” (Dennett, 1991), a term describing the unjustified belief of being in control of one’s actions. In his views, a selfhood as it is popularly conceived is contradictory. Therefore, he rejects realism about mental events, a position also called naïve realism (Siegel, 2011), on the basis that it is unverifiable and there are insufficient grounds to accept mental events (Dennett, 1988). He adopts a similar scepticism towards other theories of minds, hence nearing eliminative materialism in self-consciousness and related theme of pain (Dennett, 1978). His multiple drafts model of consciousness seeks to ground our beliefs about self-consciousness in the specific architecture of mind, which is particular to every species and kind of being. As such it is a particularly flexible theory that examines experiences of non-humans without falling into binary thinking – believing that a being has as rich inner life as humans do or none. This is why it is a great starting point for establishing necessary conditions for consciousness in robots. In this essay, I will often use words computer, programme, robot interchangeably for the purpose of clarity and take as the working definition “autonomous machines capable of sensing their environment, making decision and performing tasks similar to human actions”. I chose to explore self-consciousness instead of committing to the issue of consciousness, because consciousness can be defined in a weak sense, in which even a thermostat is “conscious” of the temperature, and consciousness in a strong sense, which invokes the internalism and externalism debate that is less connected to the nature of experiences than self-consciousness. My exploration pertains first and foremost to the philosophy of mind, of which I will examine the most relevant positions and decide to commit to functionalism (Block, 1980). Then I will advocate for explaining away of some of phenomena of self-consciousness and believing self-consciousness to be a sort of illusion. From there I will conclude that robots could fall for the same illusion of self-consciousness and therefore become self-conscious. I will argue, that self-consciousness can be established using a modified Turing Test, which would determine if a robot believed in a meaningful narrative about itself (Ricoeur, 1991) and hence be self-conscious. This will lead to answering the question of this essay: what are the features necessary for a self-conscious robot in the light of “Consciousness Explained” by Daniel Dennett? (shrink)

We want to know what gender is. But metaphysical approaches to this question solely have focused on the binary gender kinds men and women. By overlooking those who identify outside of the binary–the group I call ‘genderqueer’–we are left without tools for understanding these new and quickly growing gender identifications. This metaphysical gap in turn creates a conceptual lacuna that contributes to systematic misunderstanding of genderqueer persons. In this paper, I argue that to better understand genderqueer identities, we (...) must recognize a new type of gender kind: critical gender kinds, or kinds whose members collectively destabilize one or more pieces of dominant gender ideology. After developing a model of critical gender kinds, I suggest that genderqueer is best modeled as a critical gender kind that destabilizes the ‘binary axis’, or the piece of dominant gender ideology that says that the only possible genders are the binary, discrete, exclusive, and exhaustive kinds men and women. (shrink)

Are extreme beliefs constitutive of echo chambers, or only typically caused by them? Or are many echo chambers unproblematic, amplifying relatively benign beliefs? This paper details the conceptual relations between echo chambers and extreme beliefs, showing how different conceptual choice-points in how we understand both echo chambers and extreme beliefs affects how we should evaluate, study, and engage with echo chambering groups. We also explore how our theories of extreme beliefs and echo chambers shape social (...) scientific research and contribute in a practical way when treating these phenomena, focusing on examples of climate change scepticism. (shrink)

Chinese translation courtesy of Zhuanxu Xu. We want to know what gender is. But metaphysical approaches to this question solely have focused on the binary gender kinds men and women. By overlooking those who identify outside of the binary–the group I call ‘genderqueer’–we are left without tools for understanding these new and quickly growing gender identifications. This metaphysical gap in turn creates a conceptual lacuna that contributes to systematic misunderstanding of genderqueer persons. In this paper, I argue that (...) to better understand genderqueer identities, we must recognize a new type of gender kind: critical gender kinds, or kinds whose members collectively resist dominant gender ideology. After developing a model of critical gender kinds, I suggest that genderqueer is best modeled as a critical gender kind that stands in opposition to `the binary assumption', or the prevalent assumption that the only possible genders are the binary, discrete, exclusive, and exhaustive kinds men and women. (shrink)

A commonly-discussed feature of perceptual experience is that it has ‘assertoric’ or ‘phenomenal’ force. We will start by discussing various descriptions of the assertoricity of perceptual experience. We will then adopt a minimal characterization of assertoricity: a perceptual experience has assertoric force just in case it inclines the perceiver to believe its content. Adducing cases that show that visual experience is not always assertoric, we will argue that what renders these visual experiences non-assertoric is that they are penetrated by belief-like (...) imaginings. Lastly, we will explain why it is that when belief-like imaginings—as opposed to beliefs (and other cognitive states)—penetrate visual experience, they render visual experiences non-assertoric. (shrink)

“Probably Peirce’s best-known works are the first two articles in a series of six that originally were collectively entitled Illustrations of the Logic of Science and published in Popular Science Monthly from November 1877 through August 1878. The first is entitled ‘The Fixation of Belief’ and the second is entitled ‘How to Make Our Ideas Clear.’ In the first of these papers Peirce defended, in a manner consistent with not accepting naive realism, the superiority of the scientific method over other (...) methods of overcoming doubt and ‘fixing belief.’” — Robert Burch, “Charles Sanders Peirce,” entry in the Stanford Encyclopedia of Philosophy (2021 revision) -/- “Pragmatist epistemologies often explore how we can carry out inquiries in a self-controlled and fruitful way. (Where much analytic epistemology centres around the concept of knowledge, considered as an idealised end-point of human thought, pragmatist epistemology centres around the concept of inquiry, considered as the process of knowledge-seeking and how we can improve it.) So pragmatists often provide rich accounts of the capacities or virtues that we must possess in order to inquire well, and the rules or guiding principles that we should adopt. A canonical account is Peirce’s classic early paper ‘The Fixation of Belief‘. Here Peirce states that inquiry is a struggle to replace doubt with “settled belief“, and that the only method of inquiry that can make sense of the fact that at least some of us are disturbed by inconsistent beliefs, and will subsequently reflect upon which methods of fixing belief are correct is the Method of Science, which draws on the Pragmatic Maxim described above. This contrasts with three other methods of fixing belief: i) refusing to consider evidence contrary to one’s favored beliefs (the Method of Tenacity), ii) accepting an institution’s dictates (the Method of Authority), iii) developing the most rationally coherent or elegant-seeming belief-set (the A Priori Method).“ — Catherine Legg, “Pragmatism,” entry in the Stanford Encyclopedia of Philosophy (2021 revision). (shrink)

According to many philosophers, belief is a settling state. On this view, someone who believes p is disposed to take p for granted in practical and theoretical reasoning. This paper presents a simple objection to this settling conception of belief: it conflicts with our ordinary patterns of belief ascription. I show that ascriptions of unsettled beliefs are commonplace, and that they pose problems for all of the most promising ways of developing the settling conception. I proceed to explore the (...) implications of my argument for the relation between belief and credence, and for the relative importance of belief in psychological explanation. (shrink)

Abstract In slogan form, the thesis of this paper is that beliefs are self-verifying fictions: We make them up, but in so doing, they come to exist, and so the fiction of belief is in fact true. This picture of belief emerges from a combination of three independently motivated views: (1) a phenomenal intentionalist picture of intentionality, on which phenomenal consciousness is the basis of intentionality; (2) what I will call a “self-ascriptivist” picture of derived representation, on which non-fundamental (...) representational features are a matter of our ascribing contents to ourselves or our mental states or contents; and (3) a representationalist picture of the attitudes, on which the attitude components of mental states (e.g., the “belief” bit of a belief that P) are represented contents. This paper outlines and motivates the view of beliefs as self-verifying fictions, compares the view to alternative views of belief, and contrasts beliefs on the resulting picture to other belief-like mental states. (shrink)

This paper presents a way of formalising definite descriptions with a binary quantifier ι, where ιx[F, G] is read as ‘The F is G’. Introduction and elimination rules for ι in a system of intuitionist negative free logic are formulated. Procedures for removing maximal formulas of the form ιx[F, G] are given, and it is shown that deductions in the system can be brought into normal form.

Belief storage is often modeled as having the structure of a single, unified web. This model of belief storage is attractive and widely assumed because it appears to provide an explanation of the flexibility of cognition and the complicated dynamics of belief revision. However, when one scrutinizes human cognition, one finds strong evidence against a unified web of belief and for a fragmented model of belief storage. Using the best available evidence from cognitive science, we develop this fragmented model into (...) a nascent theory of the cognitive architecture of belief storage. (shrink)

I explore how rational belief and rational credence relate to evidence. I begin by looking at three cases where rational belief and credence seem to respond differently to evidence: cases of naked statistical evidence, lotteries, and hedged assertions. I consider an explanation for these cases, namely, that one ought not form beliefs on the basis of statistical evidence alone, and raise worries for this view. Then, I suggest another view that explains how belief and credence relate to evidence. My (...) view focuses on the possibilities that the evidence makes salient. I argue that this makes better sense of the difference between rational credence and rational belief than other accounts. (shrink)

This chapter is a survey of the ethics of belief. It begins with the debate as it first emerges in the foundational dispute between W. K. Clifford and William James. Then it surveys how the disagreements between Clifford and James have shaped the work of contemporary theorists, touching on topics such as pragmatism, whether we should believe against the evidence, pragmatic and moral encroachment, doxastic partiality, and doxastic wronging.

Let propositionalism be the thesis that all mental attitudes are propositional. Anti-propositionalists typically point at apparently non-propositional attitudes, such as fearing a dog and loving a spouse, and play defense against attempts at propositional analysis of such attitudes. Here I explore the anti-propositionalist’s prospects for going on the offensive, trying to show that some apparently propositional attitudes, notably belief and judgment, can be given non-propositional analysis. Although the notion that belief is a non-propositional attitude may seem ludicrous at first, it (...) is admirably defended by Franz Brentano, whose analysis I propose to expound, update, and deepen here. The basic strategy can be thought of as follows. First, although the grammar of belief-that reports clearly suggests a propositional attitude, the grammar of belief-in reports suggests instead an ‘objectual’ attitude. Second, with some ingenuity all belief-that reports can be paraphrased into belief-in reports. Third, given certain general considerations, this paraphraseability recommends the view that the psychological reality of belief states is objectual rather than propositional. Nonetheless, I will argue, there are two very real costs associated with this non-propositional analysis of belie. (shrink)

Belief-credence dualism is the view that we have both beliefs and credences and neither attitude is reducible to the other. Pragmatic encroachment is the view that practical stakes can affect the epistemic rationality of states like knowledge or justified belief. In this paper, I argue that dualism offers a unique explanation of pragmatic encroachment cases. First, I explain pragmatic encroachment and what motivates it. Then, I explain dualism and outline a particular argument for dualism. Finally, I show how dualism (...) can explain the intuitions that underlie pragmatic encroachment. My basic proposal is that in high-stakes cases, it is not that one cannot rationally believe that p; instead, one ought not to rely on one's belief that p. One should rather rely on one's credence in p. I conclude that we need not commit ourselves to pragmatic encroachment in order to explain the intuitiveness of the cases that motivate it. (shrink)

Recent experimental research has revealed surprising patterns in people's intuitions about free will and moral responsibility. One limitation of this research, however, is that it has been conducted exclusively on people from Western cultures. The present paper extends previous research by presenting a cross-cultural study examining intuitions about free will and moral responsibility in subjects from the United States, Hong Kong, India and Colombia. The results revealed a striking degree of cross-cultural convergence. In all four cultural groups, the majority of (...) participants said that (a) our universe is indeterministic and (b) moral responsibility is not compatible with determinism. (shrink)

A person presented with adequate but not conclusive evidence for a proposition is in a position voluntarily to acquire a belief in that proposition, or to suspend judgment about it. The availability of doxastic options in such cases grounds a moderate form of doxastic voluntarism not based on practical motives, and therefore distinct from pragmatism. In such cases, belief-acquisition or suspension of judgment meets standard conditions on willing: it can express stable character traits of the agent, it can be responsive (...) to reasons, and it is compatible with a subjective awareness of the available options. (shrink)

In this paper, I argue that the relationship between belief and credence is a central question in epistemology. This is because the belief-credence relationship has significant implications for a number of current epistemological issues. I focus on five controversies: permissivism, disagreement, pragmatic encroachment, doxastic voluntarism, and the relationship between doxastic attitudes and prudential rationality. I argue that each debate is constrained in particular ways, depending on whether the relevant attitude is belief or credence. This means that epistemologists should pay attention (...) to whether they are framing questions in terms of belief or in terms of credence and the success or failure of a reductionist project in the belief-credence realm has significant implications for epistemology generally. (shrink)

This paper proposes that the question “What should I believe?” is to be answered in the same way as the question “What should I do?,” a view I call Equal Treatment. After clarifying the relevant sense of “should,” I point out advantages that Equal Treatment has over both simple and subtle evidentialist alternatives, including versions that distinguish what one should believe from what one should get oneself to believe. I then discuss views on which there is a distinctively epistemic sense (...) of should. Next I reply to an objection which alleges that non-evidential considerations cannot serve as reasons for which one believes. I then situate Equal Treatment in a broader theoretical framework, discussing connections to rationality, justification, knowledge, and theoretical vs. practical reasoning. Finally, I show how Equal Treatment has important implications for a wide variety of issues, including the status of religious belief, philosophical skepticism, racial profiling and gender stereotyping, and certain issues in psychology, such as depressive realism and positive illusions. (shrink)

In order to explain delusional beliefs, one must first consider what factors should be included in a theory of delusion. Unlike a one-factor theory, a two-factor theory of delusion argues that not only anomalous experience (the first factor) but also an impairment of the belief-evaluation system (the second factor) is required. Recently, two-factor theorists have adopted various Bayesian approaches in order to give a more accurate description of delusion formation. By reviewing the progression from a one-factor theory to a (...) two-factor theory, I argue that in light of the second factor’s requirements, different proposed impairments can be unified within a consistent belief-evaluation system. Under this interpretation of the second factor, I further argue that the role of a mechanism responsible for detecting bizarreness is wrongly neglected. I conclude that the second factor is a compound system which consists of differing functional parts, one of which functions to detect bizarreness in different stages of delusion; moreover, I hold that the impairment can be one or several of these functional parts. (shrink)

There are currently two robust traditions in philosophy dealing with doxastic attitudes: the tradition that is concerned primarily with all-or-nothing belief, and the tradition that is concerned primarily with degree of belief or credence. This paper concerns the relationship between belief and credence for a rational agent, and is directed at those who may have hoped that the notion of belief can either be reduced to credence or eliminated altogether when characterizing the norms governing ideally rational agents. It presents a (...) puzzle which lends support to two theses. First, that there is no formal reduction of a rational agent’s beliefs to her credences, because belief and credence are each responsive to different features of a body of evidence. Second, that if our traditional understanding of our practices of holding each other responsible is correct, then belief has a distinctive role to play, even for ideally rational agents, that cannot be played by credence. The question of which avenues remain for the credence-only theorist is considered. (shrink)

ABSTRACT It is fruitless to interpret Constant's modern liberty from the binary perspective of either the negative/positive freedom opposition or the liberal/republican freedom opposition. Both oppositional perspectives reduce the relationally complex nature of modern liberty to one or another component of the relation. Such reduction inevitably results in an incomplete and, therefore, inadequate interpretation of Constant's modern liberty. Consequently, either of these binary frames of interpretation obscures rather than illuminates the full nature of Constant's modern liberty. Boxed into (...) their irreconcilably opposed alternatives, both binary perspectives fail to appreciate that Constant's conception of modern liberty is a complex achievement irreducible without loss to either liberal negative liberty as non-interference or republican freedom as non-domination. Nor does combining liberal negative freedom and positive freedom (in the sense of ancient liberty), as Holmes well establishes, adequately tells the whole story of Constant's modern liberty. As a complex achievement, Constant's conception of modern liberty, I shall argue, blends negative freedom as associated with neo-Roman republican freedom as non-subjection to arbitrary power, negative freedom as non-interference, associated with the liberal tradition, positive freedom in the sense of inner self-development, and positive freedom as collective self-government or civic republican freedom. (shrink)

We care what people think of us. The thesis that beliefs wrong, although compelling, can sound ridiculous. The norms that properly govern belief are plausibly epistemic norms such as truth, accuracy, and evidence. Moral and prudential norms seem to play no role in settling the question of whether to believe p, and they are irrelevant to answering the question of what you should believe. This leaves us with the question: can we wrong one another by virtue of what we (...) believe about each other? Can beliefs wrong? In this introduction, I present a brief summary of the articles that make up this special issue. The aim is to direct readers to open avenues for future research by highlighting questions and challenges that are far from being settled. These papers shouldn’t be taken as the last word on the subject. Rather, they mark the beginning of a serious exploration into a set of questions that concern the morality of belief, i.e., doxastic morality. (shrink)

Beliefs can be resistant to evidence. Nonetheless, the orthodox view in epistemology analyzes beliefs as evidence-responsive attitudes. I address this tension by deploying analytical tools on capacities and masking to show that the cognitive science of evidence-resistance supports rather than undermines the orthodox view. In doing so, I argue for the claim that belief requires the capacity for evidence-responsiveness. More precisely, if a subject believes that p, then they have the capacity to rationally respond to evidence bearing on (...) p. Because capacities for evidence-responsiveness are fallible and may be masked, beliefs can be held in the face of counter-evidence. Indeed, I will argue that our best science of belief supports the claim that evidence-resistant beliefs result from masks on evidence-responsiveness capacities. This account of belief not only allows for resistance to evidence, but provides us with a framework for describing and explaining actual cases of evidence-resistance. (shrink)

This paper presents rules in sequent calculus for a binary quantifier I to formalise definite descriptions: Ix[F, G] means ‘The F is G’. The rules are suitable to be added to a system of positive free logic. The paper extends the proof of a cut elimination theorem for this system by Indrzejczak by proving the cases for the rules of I. There are also brief comparisons of the present approach to the more common one that formalises definite descriptions with (...) a term forming operator. In the final section rules for I for negative free and classical logic are also mentioned. (shrink)

This is a discussion of the state of discussion on pragmatic reasons for belief.

I examine three attitudes: belief, faith, and hope. I argue that all three attitudes play the same role in rationalizing action. First, I explain two models of rational action—the decision-theory model and the belief-desire model. Both models entail there are two components of rational action: an epistemic component and a conative component. Then, using this framework, I show how belief, faith, and hope that p can all make it rational to accept, or act as if, p. I conclude by showing (...) how my picture can explain how action-oriented commitments can be rational over time, both in the face of counterevidence and in the face of waning affections. (shrink)

This is a three-part exchange on the relationship between belief and credence. It begins with an opening essay by Roger Clarke that argues for the claim that the notion of credence generalizes the notion of belief. Julia Staffel argues in her reply that we need to distinguish between mental states and models representing them, and that this helps us explain what it could mean that belief is a special case of credence. Roger Clarke's final essay reflects on the compatibility of (...) the previously discussed views with dualist and monist interpretations of our mental states and our ways of modeling them. (shrink)

The first collection of Leibniz's key writings on the binary system, newly translated, with many previously unpublished in any language. -/- The polymath Gottfried Wilhelm Leibniz (1646–1716) is known for his independent invention of the calculus in 1675. Another major—although less studied—mathematical contribution by Leibniz is his invention of binary arithmetic, the representational basis for today's digital computing. This book offers the first collection of Leibniz's most important writings on the binary system, all newly translated by the (...) authors with many previously unpublished in any language. Taken together, these thirty-two texts tell the story of binary as Leibniz conceived it, from his first youthful writings on the subject to the mature development and publication of the binary system. -/- As befits a scholarly edition, Strickland and Lewis have not only returned to Leibniz's original manuscripts in preparing their translations, but also provided full critical apparatus. In addition to extensive annotations, each text is accompanied by a detailed introductory “headnote” that explains the context and content. Additional mathematical commentaries offer readers deep dives into Leibniz's mathematical thinking. The texts are prefaced by a lengthy and detailed introductory essay, in which Strickland and Lewis trace Leibniz's development of binary, place it in its historical context, and chart its posthumous influence, most notably on shaping our own computer age. (shrink)

On an intellectualist approach to belief, the intellectual endorsement of a proposition (such as “The working poor deserve as much respect as the handsomely paid”) is sufficient or nearly sufficient for believing it. On a pragmatic approach to belief, intellectual endorsement is not enough. Belief is behaviorally demanding. To really, fully believe, you must also “walk the walk.” This chapter argues that the pragmatic approach is preferable on pragmatic grounds: It rightly directs our attention to what matters most in thinking (...) about belief. (shrink)

Philosophers commonly say that beliefs come in degrees. Drawing from the literature, I make precise three arguments for this claim: an argument from degrees of confidence, an argument from degrees of firmness, and an argument from natural language. I show that they all fail. I also advance three arguments that beliefs do not come in degrees: an argument from natural language, an argument from intuition, and an argument from the metaphysics of degrees. On the basis of these arguments, (...) I conclude that beliefs do not come in degrees. (shrink)

The suppression thesis is the theological claim that theistic non-belief results from culpable mistreatment of one’s knowledge of God or one’s evidence for God. The thesis is a traditional one but unpopular today. This article examines whether it can gain new credibility from the philosophy of self-deception and from the cognitive science of religion. The thesis is analysed in terms of the intentionalist and the non-intentionalist model of self-deception. The first proposed model views non-belief as intentional suppression of one’s implicit (...) knowledge of God. It is less feasible psychologically but has a good theological fit with Paul’s and Calvin’s versions of the thesis. This model also helps the argument for the culpability of non-belief. The second model views suppression as a process of subconscious motivated reasoning driven by a desire to avoid an uncomfortable truth. It fits Pascal’s view that one’s desire for or against God determines whether one sees general revelation as providing sufficient evidence for God. There is some empirical and anecdotal evidence for both models, but obvious cases of non-resistant non-belief present a major problem for the suppression thesis. Also, it is hard to see what might motivate anyone to deceive oneself about God’s existence. (shrink)