Beliefs are commonly attributed to groups or collective entities. But what is the nature of group belief? Summativism and nonsummativism are two main rival views regarding the nature of group belief. On the one hand, summativism holds that, necessarily, a group g has a belief B only if at least one individual i is both a member of g and has B. On the other hand, non-summativism holds that it is possible for a group g to have (...) a belief B even if no member of g has B. My aim in this paper is to consider whether divergence arguments for non-summativism and against summativism about group belief are sound. Such divergence arguments aim to show that there can be a divergence between belief at the group level and the corresponding belief at the individual level. I will argue that these divergence arguments do not decisively defeat a minimal version of summativism. In order to accomplish this goal, I have the following plan: In section 2, I will analyze the structure of two important counterexamples against the summativist view, which are based on divergence arguments. Such counterexamples are based on the idea that a group decides to adopt a particular group belief, even if none of its members holds the belief in question. However, in section 3, I will show that these counterexamples fail, because they can be explained without the need to posit group beliefs. More specifically, I argue that in these apparent counterexamples, we have only a ‘group acceptance’ phenomenon and not a ‘group belief’ phenomenon. For this conclusion, I advance two arguments: in subsection 3.1, I formulate an argument from doxastic involuntarism, and in subsection 3.2, I develop an argument from truth connection. Thus, summativism is not defeated by divergence arguments. Lastly, in section 4, I will conclude with some advantages of summativism. (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 (...) class='Hi'>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)

Timothy Williamson thinks that every object is a necessary, eternal existent. In defense of his view, Williamson appeals primarily to considerations from modal and tense logic. While I am uncertain about his modal claims, I think there are good metaphysical reasons to believe permanentism: the principle that everything always exists. B-theorists of time and change have long denied that objects change with respect to unqualified existence. But aside from Williamson, nearly all A-theorists defend temporaryism: the principle that there are temporary (...) existents. I think A-theorists are better off without this added commitment, but I will not argue for that in any great detail here. Instead, I will contend that a very tempting A-theoretic argument for temporaryism is unsound. In the first half of the paper, I will develop the Moorean “common sense” argument for temporaryism and dispute its central premise, namely that temporaryism is a valid generalization from highly plausible beliefs about change. I will argue that given the pervasive vagueness in our ordinary beliefs about change and the background commitments of all A-theories, no party can claim to be the common sense view because no party can accommodate most of our common sense beliefs about change in existence. In the second half of the paper, I will propose a permanentist A-theory that explains all change over time as a species of property change. I call it the minimal A-theory, since it dispenses with the change in existence assumption. As we'll see, the permanentist alternative performs well enough in explaining our ordinary beliefs about change, and it has better prospects for answering some objections commonly levied against A-theories. (shrink)

We propose a minimal logic for interactive epistemology based on a qualitative representation of epistemic individual and group attitudes including knowledge, belief, strong belief, common knowledge and common belief. We show that our logic is sufficiently expressive to provide an epistemic foundation for various game-theoretic solution concepts including “1-round of deletion of weakly dominated strategies, followed by iterated deletion of strongly dominated strategies” ) and “2-rounds of deletion of weakly dominated strategies, followed by iterated deletion (...) of strongly dominated strategies” ). Axiomatization and complexity results for the logic are given in the paper. (shrink)

Cooperation has been analyzed primarily in the context of theories of collective intentionality. These discussions have primarily focused on interactions between pairs or small groups of agents who know one another personally. Cooperative game theory has also been used to argue for a form of cooperation in large unorganized groups. Here I consider a form of minimal cooperation that can arise among members of potentially large organized groups (e.g., corporate teams, committees, governmental bodies). I argue that members of organized groups (...) can be minimally cooperative in virtue of playing roles in an organizational structure and having a common goal. The minimal form of cooperation I argue for is not grounded in collective intentions involving symmetric mental states, special collective intentional modes, or joint commitments. More generally, I show how considering minimal cooperation in the context of organized groups provides an opportunity to reevaluate the extent to which the social world and social phenomena depend on internalist mental factors (e.g., intentions, beliefs) and externalist non-mental factors (e.g., documents, laws, job descriptions). The view of minimal cooperation among members of organized groups I offer provides support for an externalist rather than internalist theory of at least one social phenomenon. (shrink)

This article goes into the intentions and motives behind De Veritate (1627), famous apologetic work by the Dutch humanist and jurisconsult Hugo Grotius (1583-1645). De Veritate will be compared with two other seminal works written by Grotius, De iure belli ac pacis (1625) and the Annotationes in Novum Testamentum (1641-1650). The focus will be on one particular aspect that comes to the fore in all three works: the way Grotius reduced the Christian faith to a minimal religion by singling out (...) the essential tenets this faith had in common with other religions. The core of Grotius’s argumentation consists in the idea that believers and, in particular, civil authorities have to distinguish between a few essential religious tenets that could be made rationally acceptable, and a set of supernatural dogmas, derived from divine revelation, that did not pass a certain, albeit very high degree of probability. As far as the second category was concerned, civil tolerance was called for. As becomes clear from contemporary correspondences, Grotius did not develop these rather controversial ideas in an intellectual vacuum. During his exile in Paris, he fostered contacts with members of the circle that formed around the French monk Marin Mersenne (1588-1648). This circle functioned as a kind of hothouse for the development of a minimal Christian creed. Members of this group saw promotion of a minimal creed as a solution to current religious controversies and the ensuing political turmoil and (civil) war, which were abhorred for their detrimental effects on the advancement of learning in the first place. On the other hand, it is also apparent that overt adherence to such an ideal was considered to be dangerous, because it would at least evoke the embarrassing and even repressive attention of the authorities in Church and government. An additional problem was that by defending such a religious stance, members of Mersenne’s circle laid themselves open to accusations of endorsing ‘rational beliefs’ like Socinianism, generally considered to be the worst heresy among all Christian denominations. (shrink)

Information can be public among a group. Whether or not information is public matters, for example, for accounts of interdependent rational choice, of communication, and of joint intention. A standard analysis of public information identifies it with (some variant of) common belief. The latter notion is stipulatively defined as an infinite conjunction: for p to be commonly believed is for it to believed by all members of a group, for all members to believe that all members believe it, (...) and so forth. This analysis is often presupposed without much argument in philosophy. Theoretical entrenchment or intuitions about cases might give some traction on the question, but give little insight about why the identification holds, if it does. The strategy of this paper is to characterize a practical-normative role for information being public, and show that the only things that play that role are (variants of) common belief as stipulatively characterized. In more detail: a functional role for “taking a proposition for granted” in non-isolated decision making is characterized. I then present some minimal conditions under which such an attitude is correctly held. The key assumption links this attitude to beliefs about what is public. From minimal a priori principles, we can argue that a proposition being public among a group entails common commitment to believe among that group. Later sections explore partial converses to this result, the factivity of publicity and publicity from the perspective of outsiders to the group, and objections to the aprioricity of the result deriving from a posteriori existential presuppositions. (shrink)

The technique of minimizing information (infomin) has been commonly employed as a general method for both choosing and updating a subjective probability function. We argue that, in a wide class of cases, the use of infomin methods fails to cohere with our standard conception of rational degrees of belief. We introduce the notion of a deceptive updating method and argue that non-deceptiveness is a necessary condition for rational coherence. Infomin has been criticized on the grounds that there are no (...) higher order probabilities that ‘support’ it, but the appeal to higher order probabilities is a substantial assumption that some might reject. Our elementary arguments from deceptiveness do not rely on this assumption. While deceptiveness implies lack of higher order support, the converse does not, in general, hold, which indicates that deceptiveness is a more objectionable property. We offer a new proof of the claim that infomin updating of any strictly-positive prior with respect to conditional-probability constraints is deceptive. In the case of expected-value constraints, infomin updating of the uniform prior is deceptive for some random variables but not for others. We establish both a necessary condition and a sufficient condition (which extends the scope of the phenomenon beyond cases previously considered) for deceptiveness in this setting. Along the way, we clarify the relation which obtains between the strong notion of higher order support, in which the higher order probability is defined over the full space of first order probabilities, and the apparently weaker notion, in which it is defined over some smaller parameter space. We show that under certain natural assumptions, the two are equivalent. Finally, we offer an interpretation of Jaynes, according to which his own appeal to infomin methods avoids the incoherencies discussed in this paper. (shrink)

Critics of empathy—the capacity to share the mental lives of others—have charged that empathy is intrinsically biased. It occurs between no more than two people, and its key function is arguably to coordinate and align feelings, thoughts, and responses between those who are often already in close personal relationships. Because of this, critics claim that empathy is morally unnecessary at best and morally harmful at worst. This paper argues, however, that it is precisely because of its ability to connect people (...) by coordinating and aligning their feelings, thoughts, and responses, that empathy is especially well suited to perform one particular moral task that has been largely overlooked in moral philosophical discussions. That is, helping people, including those who are antagonistically opposed on matters of moral, social, and political importance—what I call antagonistic moral opponents—find common ground: a set of shared beliefs, attitudes, values, or experiences that lays the requisite ground for even minimally positive relationships. Doing so can contribute to a number of morally, practically, and epistemically important outcomes, including resolving fraught disagreements, mitigating antagonism, promoting cooperation, learning from differences, and even forging positive relationships of various sorts. Contra critics, I therefore maintain that empathy is important for at least one area of the moral life. (shrink)

The logic of common belief does not always reflect that of individual beliefs. In particular, even when the individual belief operators satisfy the KD45 logic, the common belief operator may fail to satisfy axiom 5. That is, it can happen that neither is A commonly believed nor is it common belief that A is not commonly believed. We identify the intersubjective restrictions on individual beliefs that are incorporated in axiom 5 for common (...) belief. (shrink)

Possibilistic logic and modal logic are knowledge representation frameworks sharing some common features, such as the duality between possibility and necessity, and the decomposability of necessity for conjunctions, as well as some obvious differences since possibility theory is graded. At the semantic level, possibilistic logic relies on possibility distributions and modal logic on accessibility relations. In the last 30 years, there have been a series of attempts for bridging the two frameworks in one way or another. In this paper, (...) we compare the relational semantics of epistemic logics with simpler possibilistic semantics of a fragment of such logics that only uses modal formulas of depth 1. This minimal epistemic logic handles both all-or-nothing beliefs and explicitly ignored facts. We also contrast epistemic logic with the S5-based rough set logic. Finally, this paper presents extensions of generalized possibilistic logic with objective and non-nested multimodal formulas, in the style of modal logics KD45 and S5. (shrink)

Van Fraassen’s view that many philosophical positions should be understood as stances rather than factual beliefs with propositional content, has become increasingly popular. But the precise relation between a philosophical stance, and the factual beliefs that typically accompany it, is an unresolved issue. It is widely accepted that no factual belief is sufficient for holding a particular stance, but some have argued that holding certain factual beliefs is nonetheless necessary for adopting a given stance. I argue against this claim, (...) along with the weaker claim that while there are no beliefs that are necessary for adopting a particular stance, those who share a stance must share some characteristic belief(s) in common. I outline and defend an alternative ‘cluster’ account, according to which, in order to accept a stance, one must hold some minimal subset of the set of theoretical beliefs characteristic of the stance in question. This view can accommodate the intuitions motivating those who defend the stronger necessity claims, while crucially allowing for the flexibility of a stance vis-à-vis the relevant factual beliefs, and its relative independence from those beliefs, which is central to van Fraassen’s main examples of stances and their nature. (shrink)

The paper surveys the currently available axiomatizations of common belief (CB) and common knowledge (CK) by means of modal propositional logics. (Throughout, knowledge- whether individual or common- is defined as true belief.) Section 1 introduces the formal method of axiomatization followed by epistemic logicians, especially the syntax-semantics distinction, and the notion of a soundness and completeness theorem. Section 2 explains the syntactical concepts, while briefly discussing their motivations. Two standard semantic constructions, Kripke structures and neighbourhood (...) structures, are introduced in Sections 3 and 4, respectively. It is recalled that Aumann's partitional model of CK is a particular case of a definition in terms of Kripke structures. The paper also restates the well-known fact that Kripke structures can be regarded as particular cases of neighbourhood structures. Section 3 reviews the soundness and completeness theorems proved w.r.t. the former structures by Fagin, Halpern, Moses and Vardi, as well as related results by Lismont. Section 4 reviews the corresponding theorems derived w.r.t. the latter structures by Lismont and Mongin. A general conclusion of the paper is that the axiomatization of CB does not require as strong systems of individual belief as was originally thought- only monotonicity has thusfar proved indispensable. Section 5 explains another consequence of general relevance: despite the "infinitary" nature of CB, the axiom systems of this paper admit of effective decision procedures, i.e., they are decidable in the logician's sense. (shrink)

We define infinitary extensions to classical epistemic logic systems, and add also a common belief modality, axiomatized in a finitary, fixed-point manner. In the infinitary K system, common belief turns to be provably equivalent to the conjunction of all the finite levels of mutual belief. In contrast, in the infinitary monotonic system, common belief implies every transfinite level of mutual belief but is never implied by it. We conclude that the fixed-point notion (...) of common belief is more powerful than the iterative notion of common belief. (shrink)

We investigate an axiomatization of the notion of common belief that makes use of no rules of inference and highlight the property of the set of accessibility relations that characterizes each axiom.

We show that several logics of common belief and common knowledge are not only complete, but also strongly complete, hence compact. These logics involve a weakened monotonicity axiom, and no other restriction on individual belief. The semantics is of the ordinary fixed-point type.

Quand l’analyse de corpus réfute des idées reçues : le cas de l’interpolation dans des dialectes du portugais européenCet article analyse l’interpolation (c’est-à-dire la possibilité d’occurrence d’un proclitique séparé du verbe) comme un trait des dialectes du portugais européen (PE) contemporain, tel qu’il est montré par les données fournies par le Syntax-oriented Corpus of Portuguese Dialects – CORDIAL-SIN. Les objectifs de cet étude sont les suivants : (i) décrire les propriétés des constructions d’interpolation dans les dialectes contemporains du PE ; (...) (ii) comprendre la corrélation entre l’interpolation et les propriétés d’autres constructions avec clitiques dans les mêmes dialectes ; (iii) fournir une perspective diachronique sur l’interpolation non-standard en tenant compte de l’histoire générale de l’interpolation. La recherche sur ce thème, dont les résultats sont présentés en détail dans Magro (2007), montre que, dans beaucoup de dialectes contemporains du PE, l’interpolation actuelle est une construction très productive qui possède des traits particuliers, qui la différencient de l’interpolation du PE ancien. Cette étude montre que, contrairement à ce qu’on croit d’habitude, l’interpolation n’est pas un trait archaïque mais plutôt une innovation récente dans la grammaire du PE. L’analyse présentée adopte la structure de la grammaire définie dans le cadre de la Morphologie Distribuée (Distributed Morphology, Halle & Marantz 1993, 1994), en considérant l’interpolation comme une instance d’une opération de déplacement post-syntaxique qui a lieu au stade final d’une dérivation. (shrink)

Quand l’analyse de corpus réfute des idées reçues : le cas de l’interpolation dans des dialectes du portugais européenCet article analyse l’interpolation (c’est-à-dire la possibilité d’occurrence d’un proclitique séparé du verbe) comme un trait des dialectes du portugais européen (PE) contemporain, tel qu’il est montré par les données fournies par le Syntax-oriented Corpus of Portuguese Dialects – CORDIAL-SIN. Les objectifs de cet étude sont les suivants : (i) décrire les propriétés des constructions d’interpolation dans les dialectes contemporains du PE ; (...) (ii) comprendre la corrélation entre l’interpolation et les propriétés d’autres constructions avec clitiques dans les mêmes dialectes ; (iii) fournir une perspective diachronique sur l’interpolation non-standard en tenant compte de l’histoire générale de l’interpolation. La recherche sur ce thème, dont les résultats sont présentés en détail dans Magro (2007), montre que, dans beaucoup de dialectes contemporains du PE, l’interpolation actuelle est une construction très productive qui possède des traits particuliers, qui la différencient de l’interpolation du PE ancien. Cette étude montre que, contrairement à ce qu’on croit d’habitude, l’interpolation n’est pas un trait archaïque mais plutôt une innovation récente dans la grammaire du PE. L’analyse présentée adopte la structure de la grammaire définie dans le cadre de la Morphologie Distribuée (Distributed Morphology, Halle & Marantz 1993, 1994), en considérant l’interpolation comme une instance d’une opération de déplacement post-syntaxique qui a lieu au stade final d’une dérivation. (shrink)

In this highly original monograph, Nicholas Georgalis proposes that the concept of minimal content is fundamental both to the philosophy of mind and to the philosophy of language. He argues that to understand mind and language requires minimal content -- a narrow, first-person, non-phenomenal concept that represents the subject of an agent's intentional state as the agent conceives it. Orthodox third-person objective methodology must be supplemented with first-person subjective methodology. Georgalis demonstrates limitations of a strictly third-person methodology in the study (...) of mind and language and argues that these deficiencies can be corrected only by the incorporation of a first-person methodology. Nevertheless, this expanded methodology makes possible an objective understanding of the subjective. Georgalis argues against the conflation of consciousness and subjectivity with phenomenal experience. Consequently, and contrary to common belief, he argues that consciousness without phenomenality is as strongly implicated in intentionality as it is in phenomenal states. He proposes a broader understanding of the "hard problem" of consciousness, arguing that there is an "explanatory gap problem" for both phenomenal and intentional states. His theory provides a framework that renders the vexing relations between mental and brain states comprehensible. Georgalis also argues for novel explanations of the phenomenal and of representation -- explanations that follow from the core concept of minimal content. Treating the topics of meaning and reference, he introduces a first-person concept of intended reference derivative from minimal content that resolves various problems in the philosophy of language. Eschewing ontology, Georgalis proposes his theory as a means to make sense of, analyze, and relate issues in the philosophies of mind and language. The concept of minimal content, he argues, plays a necessary, pivotal, unifying, and foundational role in advancing our understanding of these issues. (shrink)

Many of our beliefs behave irrationally: this is hardly news to anyone. Although beliefs’ irrational tendencies need to be taken into account, this paper argues that beliefs necessarily preserve at least a minimal level of rationality. This view offers a plausible picture of what makes belief unique and will help us to set beliefs apart from other cognitive attitudes.

Religion is not an evolutionary adaptation per se, but a recurring by-product of the complex evolutionary landscape that sets cognitive, emotional and material conditions for ordinary human interactions. Religion involves extraordinary use of ordinary cognitive processes to passionately display costly devotion to counterintuitive worlds governed by supernatural agents. The conceptual foundations of religion are intuitively given by task-specific panhuman cognitive domains, including folkmechanics, folkbiology, folkpsychology. Core religious beliefs minimally violate ordinary notions about how the world is, with all of its (...) inescapable problems, thus enabling people to imagine minimally impossible supernatural worlds that solve existential problems, including death and deception. Here the focus is on folkpsychology and agency. A key feature of the supernatural agent concepts common to all religions is the triggering of an "Innate Releasing Mechanism," or “agency detector,” whose proper domain encompasses animate objects relevant to hominid survival - such as predators, protectors and prey - but which actually extends to moving dots on computer screens, voices in wind, faces on clouds. Folkpsychology also crucially involves metarepresentation, which makes deception possible and threatens any social order; however, these same metacognitive capacities provide the hope and promise of open-ended solutions through representations of counterfactual supernatural worlds that cannot be logically or empirically verified or falsified. Because religious beliefs cannot be deductively or inductively validated, validation occurs only by ritually addressing the very emotions motivating religion. Cross-cultural experimental evidence encourages these claims. (shrink)

This paper proposes a minimal logic of fine-grained information dynamics via belief bases. The framework is shown to be able to accommodate explicit belief, implicit belief, awareness of and awareness that, where awareness of agents is not treated as a tacit premise. A sound and complete axiomatization of static logic is established, upon which a series of dynamic operations are defined. It is argued that these dynamics adapt different scenarios. Our logic is minimal because to each agent (...) we only attach two databases, from which a variety of epistemic attitudes are generated. (shrink)

This paper analyzes the notion of a minimal belief change that incorporates new information. I apply the fundamental decision-theoretic principle of Pareto-optimality to derive a notion of minimal belief change, for two different representations of belief: First, for beliefs represented by a theory – a deductively closed set of sentences or propositions – and second for beliefs represented by an axiomatic base for a theory. Three postulates exactly characterize Pareto-minimal revisions of theories, yielding a weaker set of (...) constraints than the standard AGM postulates. The Levi identity characterizes Pareto-minimal revisions of belief bases: a change of belief base is Pareto-minimal if and only if the change satisfies the Levi identity (for “maxichoice” contraction operators). Thus for belief bases, Pareto-minimality imposes constraints that the AGM postulates do not. The Ramsey test is a well-known way of establishing connections between belief revision postulates and axioms for conditionals (“if p, then q”). Pareto-minimal theory change corresponds exactly to three characteristic axioms of counterfactual systems: a theory revision operator that satisfies the Ramsey test validates these axioms if and only if the revision operator is Pareto-minimal. (shrink)

This paper analyzes the notion of a minimal belief change that incorporates new information. I apply the fundamental decisiontheoretic principle of Pareto-optimality to derive a notion of minimal belief change, for two different representations of belief: First, for beliefs represented by a theory –a deductively closed set of sentences or propositions–and second for beliefs represented by an axiomatic base for a theory. Three postulates exactly characterize Pareto-minimal revisions of theories, yielding a weaker set of constraints than the (...) standard AGM postulates. The Levi identity characterizes Pareto-minimal revisions of belief bases: a change of belief base is Pareto-minimal if and only if the change satisfies the Levi identity (for “maxichoice” contraction operators). Thus for belief bases, Pareto-minimality imposes constraints that the AGM postulates do not. Keywords: belief revision, decision theory.. (shrink)

We describe a model of iterated belief revision that extends the AGM theory of revision to account for the effect of a revision on the conditional beliefs of an agent. In particular, this model ensures that an agent makes as few changes as possible to the conditional component of its belief set. Adopting the Ramsey test, minimal conditional revision provides acceptance conditions for arbitrary right-nested conditionals. We show that problem of determining acceptance of any such nested conditional can (...) be reduced to acceptance tests for unnested conditionals. Thus, iterated revision can be accomplished in a "virtual" manner, using uniterated revision. (shrink)

Agents typically revise their beliefs when confronted with evidence that contradicts those beliefs, selecting from a number of possible revisions sufficient to reestablish consistency. In cases where an individual’s beliefs concern spatial relations, belief revision has been fruitfully treated as a decision about which features of an initially constructed spatial mental model to modify. A normative claim about belief revision maintains that agents should prefer minimal belief revisions. Yet recent studies have rebutted the preceding claim, where minimality (...) is understood to consist in modifying the position of the fewest objects, showing instead that reasoners prefer revisions that modify the position of an object x while retaining the position of an object y, when the agent’s new evidence is a relational statement of the form ‘xRy’. We here present cases where the preceding effect is reduced, and show an effect of minimality as measured by the number of initial premises preserved. (shrink)

A popular introduction to common consent arguments for belief in God.

Using belief elicitation, the paper investigates the process of belief formation and evolution in a signaling game in which a common prior is not induced. Both prior and posterior beliefs of Receivers about Senders’ types are elicited, as well as beliefs of Senders about Receivers’ strategies. In the experiment, subjects often start with diffuse uniform beliefs and update them in view of observations. However, the speed of updating is influenced by the strength of initial beliefs. An interesting (...) result is that beliefs about the prior distribution of types are updated slower than posterior beliefs, which incorporate Senders’ strategies. In the medium run, for some specifications of game parameters, this leads to outcomes being significantly different from the outcomes of the game in which a common prior is induced. It is also shown that elicitation of beliefs does not considerably change the pattern of play in this game. (shrink)

Until recently, epistemology was largely caught in the grips of an epistemically unrealistic radical epistemological individualism on which the beliefs and testimony of others were of virtually no epistemic significance. Thankfully, epistemologists have bucked the individualist trend, acknowledging that one person's belief or testimony that P might offer another person prima facie epistemic reasons – or social evidence as I call it – to believe P. In this paper, I discuss the possibility and conditions under which beliefs and testimony (...) act as social evidence, in particular, beliefs and testimony regarding the existence of God. The epistemic egoist maintains that one must possess positive reasons in favor of other people's reliability or trustworthiness before their beliefs and testimony offer prima facie social evidence. The epistemic universalist, on the other hand, argues that the beliefs of all others are prima facie credible and should be treated accordingly. All this will set up subsequent discussion of the epistemic significance of common consent or widespread belief in God. I show how common consent arguments assume the epistemic universalist's account of the conditions under which the beliefs and testimony of others acquire reason-giving force as social evidence. (shrink)

Different similarity relations on sets are introduced, and their logical properties are investigated. Close relationships are shown to hold between similarity relations that are based on symmetrical difference and operators of belief contraction that are based on relational selection functions. Two new rationality criteria for minimal belief contraction, the maximizing property and the reducing property, are proposed.

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)

This work contrasts conservative or minimally mutilating revisions of empirical theories as they are identified in the presently dominant AGM model of formal belief revision and the structuralist program for the reconstruction of empirical theories. The aim is to make understandable why both approaches only partly succeed in substantially informing and formally restraining the issue. With respect to the rationality of minimal change, the overall result is negative. Readers with an interest in formal epistemology are provided with application cases (...) (mercury anomaly, revision of early thermo-dynamics, introduction of the neutrino), the historically inclined reader is offered a systematic perspective. The discussion can largely be followed without a background in formal logic. (shrink)

One of the most debated problems in the foundations of the special relativity theory is the role of conventionality. A common belief is that the Lorentz transformation is correct but the Galilean transformation is wrong. It is another common belief that the Galilean transformation is incompatible with Maxwell equations. However, the “principle of general covariance” in general relativity makes any spacetime coordinate transformation equally valid. This includes the Galilean transformation as well. This renders a new paradox. (...) This new paradox is resolved with the argument that the Galilean transformation is equivalent to the Lorentz transformation. The resolution of this new paradox also provides the most straightforward resolution of an older paradox which is due to Selleri in. I also present a consistent electrodynamics formulation including Maxwell equations and electromagnetic wave equations under the Galilean transformation, in the exact form for any high speed, rather than in low speed approximation. Electrodynamics in rotating reference frames is rarely addressed in textbooks. The presented formulation of electrodynamics under the Galilean transformation even works well in rotating frames if we replace the constant velocity v\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {v}$$\end{document} with v=ω×r\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbf {v}=\varvec{\omega }\times \mathbf {r}$$\end{document}. This provides a practical tool for applications of electrodynamics in rotating frames. When electrodynamics is concerned, between two inertial reference frames, both Galilean and Lorentz transformations are equally valid, but the Lorentz transformation is more convenient. In rotating frames, although the Galilean electrodynamics does not seem convenient, it could be the most convenient formulation compared with other transformations, due to the intrinsic complex nature of the problem. (shrink)

This paper is the product of an interdisciplinary, interreligious dialogue aiming to outline some of the possibilities and rational limits of supernatural religious belief, in the light of a critique of David Hume’s familiar sceptical arguments -- including a rejection of his famous Maxim on miracles -- combined with a range of striking recent empirical research. The Humean nexus leads us to the formulation of a new ”Common-Core/Diversity Dilemma’, which suggests that the contradictions between different religious belief (...) systems, in conjunction with new understandings of the cognitive forces that shape their common features, persuasively challenge the rationality of most kinds of supernatural belief. In support of this conclusion, we survey empirical research concerning intercessory prayer, religious experience, near-death experience, and various cognitive biases. But we then go on to consider evidence that supernaturalism -- even when rationally unwarranted -- has significant beneficial individual and social effects, despite others that are far less desirable. This prompts the formulation of a ”Normal/Objective Dilemma’, identifying important trade-offs to be found in the choice between our humanly evolved ”normal’ outlook on the world, and one that is more rational and ”objective’. Can we retain the pragmatic benefits of supernatural belief while avoiding irrationality and intergroup conflict? It may well seem that rationality is incompatible with any wilful sacrifice of objectivity. But in a situation of uncertainty, an attractive compromise may be available by moving from the competing factions and mutual contradictions of ”first-order’ supernaturalism to a more abstract and tolerant ”second-order’ view, which itself can be given some distinctive intellectual support through the increasingly popular Fine Tuning Argument. We end by proposing a ”Maxim of the Moon’ to express the undogmatic spirit of this second-order religiosity, providing a cautionary metaphor to counter the pervasive bias endemic to the human condition, and offering a more cooperation- and humility-enhancing understanding of religious diversity in a tense and precarious globalised age. (shrink)

The essay “The Common-Core/Diversity Dilemma: Revisions of Humean Thought, New Empirical Research, and the Limits of Rational Religious Belief‘ is a bold argument for the irrationality of “first-order‘ religious belief. However, unlike those associated with “New Atheism,‘ the paper’s authors Branden Thornhill-Miller and Peter Millican claim both that there are prospects for rational “second-order‘ religious belief and that religious belief and practice can play a positive role in human life. In response to Thornhill-Miller and Millican, (...) Janusz Salamon has argued that first- order religious belief can be rational, although not via the methods that philosophers who have typically defended the reasonability of faith have appealed to. Both papers are fascinating discussions of the epistemology of religious belief in general, and of the rationality of such commitment in light of modern science and religious disagreement in particular. In this paper, I’ll object to a few points made in each essay and argue that neither paper provides good reason to be dubious about the religious belief being rational along traditional lines. (shrink)

In the literature there are at least two models for probabilistic belief revision: Bayesian updating and imaging [Lewis, D. K. (1973), Counterfactuals, Blackwell, Oxford; Gärdenfors, P. (1988), Knowledge in flux: modeling the dynamics of epistemic states, MIT Press, Cambridge, MA]. In this paper we focus on imaging rules that can be described by the following procedure: (1) Identify every state with some real valued vector of characteristics, and accordingly identify every probabilistic belief with an expected vector of characteristics; (...) (2) For every initial belief and every piece of information, choose the revised belief which is compatible with this information and for which the expected vector of characteristics has minimal Euclidean distance to the expected vector of characteristics of the initial belief. This class of rules thus satisfies an intuitive notion of minimal belief revision. The main result in this paper is to provide an axiomatic characterization of this class of imaging rules. (shrink)