This essay develops a joint theory of rational (all-or-nothing) belief and degrees of belief. The theory is based on three assumptions: the logical closure of rational belief; the axioms of probability for rational degrees of belief; and the so-called Lockean thesis, in which the concepts of rational belief and rational degree of belief figure simultaneously. In spite of what is commonly believed, this essay will show that this combination of principles is satisfiable (...) (and indeed nontrivially so) and that the principles are jointly satisfied if and only if rational belief is equivalent to the assignment of a stably high rational degree of belief. Although the logical closure of belief and the Lockean thesis are attractive postulates in themselves, initially this may seem like a formal “curiosity”; however, as will be argued in the rest of the essay, a very reasonable theory of rational belief can be built around these principles that is not ad hoc and that has various philosophical features that are plausible independently. In particular, this essay shows that the theory allows for a solution to the Lottery Paradox, and it has nice applications to formal epistemology. The price that is to be paid for this theory is a strong dependency of belief on the context, where a context involves both the agent's degree of belief function and the partitioning or individuation of the underlying possibilities. But as this essay argues, that price seems to be affordable. (shrink)

In this paper we compare Leitgeb’s stability theory of belief and Spohn’s ranking-theoretic account of belief. We discuss the two theories as solutions to the lottery paradox. To compare the two theories, we introduce a novel translation between ranking functions and probability functions. We draw some crucial consequences from this translation, in particular a new probabilistic belief notion. Based on this, we explore the logical relation between the two belief theories, showing that models of (...) Leitgeb’s theory correspond to certain models of Spohn’s theory. The reverse is not true. Finally, we discuss how these results raise new questions in belief theory. In particular, we raise the question whether stability is rightly thought of as a property pertaining to belief. (shrink)

In this commentary on Rotts paper Stability, Strength and Sensitivity: Converting Belief into Knowledge, I discuss two problems of the stability theory of knowledge which are pointed out by Rott. I conclude that these problems offer no reason for rejecting the stability theory, but might be grounds for deviating from the standard AGM account of belief revision which Rott presupposes.

In everyday life we either express our beliefs in all-or-nothing terms or we resort to numerical probabilities: I believe it's going to rain or my chance of winning is one in a million. The Stability of Belief develops a theory of rational belief that allows us to reason with all-or-nothing belief and numerical belief simultaneously.

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Reflection and the Stability of Belief: Essays on Descartes, Hume, and Reid by Louis E. LoebKevin MeekerLouis E. Loeb. Reflection and the Stability of Belief: Essays on Descartes, Hume, and Reid. New York: Oxford University Press, 2010. Pp. xvii + 369. ISBN: 978-0-19-536876-5, Cloth, $99.00. ISBN 978-0-19-536875-8, Paper, $45.00.This book is (almost entirely) a collection of previously published essays by Louis Loeb. The first (...) three essays focus primarily on advancing the general interpretive claim that Descartes’s main epistemological goal is achieving unshakable beliefs. While essays 5–10 address many topics in Humean interpretation, they all contribute in various ways to supporting Loeb’s claim that Hume’s primary epistemological goal is achieving stable beliefs. Essay 12 compares the naturalisms of Hume and Reid. All of the collected essays are excellent.Such excellence is not surprising, for Loeb is an influential interpreter of early modern philosophy, justly renowned for the ingenuity of his readings. Spanning the last three decades, these essays display many fine qualities that have helped make Loeb such a prominent historian. Here I will briefly mention three of these qualities. First, Loeb has remarkable command of the primary historical texts and the secondary literature. This mastery is perhaps best seen in his “What is Worth Preserving in the Kemp Smith Interpretation of Hume?” (essay 9). In addition to providing a detailed exposition of a wide range of texts from Hume and Norman Kemp Smith, Loeb also makes adroit comments about the literature discussing the secondary literature when he addresses the “Canonical Understanding” of Kemp Smith (246–47). Second, Loeb effortlessly integrates historical and contemporary concerns. His “Hume’s Agent-Centered Sentimentalism” (essay 8), for instance, has [End Page 257] an interesting discussion of how Hume’s moral theory might aid contemporary utilitarians (238–44). Moreover, essays 5 (“Integrating Hume’s Accounts of Belief and Justification”) and 10 (“Psychology, Epistemology, and Skepticism in Hume’s Argument about Induction”) fruitfully discuss Hume’s epistemology in light of issues important to the contemporary distinction between internalism and externalism. Third, Loeb’s intuitive knack for isolating important connections amongst various texts and figures allows him to tell a concise story about the evolution of certain philosophical ideas that panoramically covers large portions of the history of philosophy. His “Locke and British Empiricism” (essay 11), which connects epistemological themes in Locke with Descartes, Hume, Berkeley, Malebranche, and Reid, among others, is one example. (Because this essay is, as of this writing, still forthcoming, it is the only essay that is not previously published.) Finally, all three of these qualities are prominently on display in “Sextus, Descartes, Hume, and Peirce” (essay 4), which interestingly uses contemporary views about belief (especially as developed by David Velleman) to understand Descartes and Hume “against the backdrop of Sextus and Peirce” (107). To my mind this essay is the best in the book.There are at least two main advantages of collecting these excellent essays into a book. First, the collection allows Loeb to systematically emphasize the similarities between different early modern thinkers in a way that typically strengthens the cumulative case he makes for his readings of these philosophers. Second, the volume permits us to catch a rare glimpse of how an interpreter’s views can change over time. Considering the cumulative effect of the arguments as well as the changes in Loeb’s views also provides us with a great opportunity to reflect critically on many important issues in a fruitful way. The rest of this review will focus on such critical reflections.Let us start with Descartes, as Loeb does. In his introduction to the essays, Loeb helpfully contextualizes his discussions of Descartes. He points out that his paper “Was Descartes Sincere in His Appeal to the Light of Nature?” (not included here) maintains that the arguments Descartes presents are so poor that they “suggest” that “Descartes was insincere in offering his proofs of the existence of God and in appealing to Divine veracity to validate clear and distinct perception” (9; cf. 35). Of course others have likewise contended that Descartes was a dissimulator. But in the first four chapters... (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Reflection and the Stability of Belief: Essays on Descartes, Hume, and Reid by Louis E. LoebKevin MeekerLouis E. Loeb. Reflection and the Stability of Belief: Essays on Descartes, Hume, and Reid. New York: Oxford University Press, 2010. Pp. xvii + 369. ISBN: 978-0-19-536876-5, Cloth, $99.00. ISBN 978-0-19-536875-8, Paper, $45.00.This book is (almost entirely) a collection of previously published essays by Louis Loeb. The first (...) three essays focus primarily on advancing the general interpretive claim that Descartes’s main epistemological goal is achieving unshakable beliefs. While essays 5–10 address many topics in Humean interpretation, they all contribute in various ways to supporting Loeb’s claim that Hume’s primary epistemological goal is achieving stable beliefs. Essay 12 compares the naturalisms of Hume and Reid. All of the collected essays are excellent.Such excellence is not surprising, for Loeb is an influential interpreter of early modern philosophy, justly renowned for the ingenuity of his readings. Spanning the last three decades, these essays display many fine qualities that have helped make Loeb such a prominent historian. Here I will briefly mention three of these qualities. First, Loeb has remarkable command of the primary historical texts and the secondary literature. This mastery is perhaps best seen in his “What is Worth Preserving in the Kemp Smith Interpretation of Hume?” (essay 9). In addition to providing a detailed exposition of a wide range of texts from Hume and Norman Kemp Smith, Loeb also makes adroit comments about the literature discussing the secondary literature when he addresses the “Canonical Understanding” of Kemp Smith (246–47). Second, Loeb effortlessly integrates historical and contemporary concerns. His “Hume’s Agent-Centered Sentimentalism” (essay 8), for instance, has [End Page 257] an interesting discussion of how Hume’s moral theory might aid contemporary utilitarians (238–44). Moreover, essays 5 (“Integrating Hume’s Accounts of Belief and Justification”) and 10 (“Psychology, Epistemology, and Skepticism in Hume’s Argument about Induction”) fruitfully discuss Hume’s epistemology in light of issues important to the contemporary distinction between internalism and externalism. Third, Loeb’s intuitive knack for isolating important connections amongst various texts and figures allows him to tell a concise story about the evolution of certain philosophical ideas that panoramically covers large portions of the history of philosophy. His “Locke and British Empiricism” (essay 11), which connects epistemological themes in Locke with Descartes, Hume, Berkeley, Malebranche, and Reid, among others, is one example. (Because this essay is, as of this writing, still forthcoming, it is the only essay that is not previously published.) Finally, all three of these qualities are prominently on display in “Sextus, Descartes, Hume, and Peirce” (essay 4), which interestingly uses contemporary views about belief (especially as developed by David Velleman) to understand Descartes and Hume “against the backdrop of Sextus and Peirce” (107). To my mind this essay is the best in the book.There are at least two main advantages of collecting these excellent essays into a book. First, the collection allows Loeb to systematically emphasize the similarities between different early modern thinkers in a way that typically strengthens the cumulative case he makes for his readings of these philosophers. Second, the volume permits us to catch a rare glimpse of how an interpreter’s views can change over time. Considering the cumulative effect of the arguments as well as the changes in Loeb’s views also provides us with a great opportunity to reflect critically on many important issues in a fruitful way. The rest of this review will focus on such critical reflections.Let us start with Descartes, as Loeb does. In his introduction to the essays, Loeb helpfully contextualizes his discussions of Descartes. He points out that his paper “Was Descartes Sincere in His Appeal to the Light of Nature?” (not included here) maintains that the arguments Descartes presents are so poor that they “suggest” that “Descartes was insincere in offering his proofs of the existence of God and in appealing to Divine veracity to validate clear and distinct perception” (9; cf. 35). Of course others have likewise contended that Descartes was a dissimulator. But in the first four chapters... (shrink)

There are two prominent ways of formally modelling human belief. One is in terms of plain beliefs, i.e., sets of propositions. The second one is in terms of degrees of beliefs, which are commonly taken to be representable by subjective probability functions. In relating these two ways of modelling human belief, the most natural idea is a thesis frequently attributed to John Locke: a proposition is or ought to be believed just in case its subjective probability exceeds a (...) contextually fixed probability threshold \. This idea is known to have two serious drawbacks: first, it denies that beliefs are closed under conjunction, and second, it may easily lead to sets of beliefs that are logically inconsistent. In this paper I present two recent accounts of aligning plain belief with subjective probability: the Stability Theory of Leitgeb (2013, 2014, 2015, 2017) and the Probalogical Theory of Lin and Kelly (2012a, 2012b). I argue that Leitgeb’s theory may be too sceptical for the purposes of real life. (shrink)

Legal and philosophical theories of religious exemptions have primarily understood them as a means toward one or more moral ends: protecting rights and securing equality, primarily. But exemptions also serve an under-theorized stabilizing function in resolving conflicts between law and belief. In this paper, I argue that these conflicts pose a challenge to public justification, and ipso facto to political stability. I then show how religious exemptions can support stability by ameliorating these conflicts, and elaborate parameters for (...) identifying those exemptions most likely to achieve this stability-enhancing effect. (shrink)

Legal and philosophical theories of religious exemptions have primarily understood them as a means toward one or more moral ends: protecting rights and securing equality, primarily. But exemptions also serve an under-theorized stabilizing function in resolving conflicts between law and belief. In this paper, I argue that these conflicts pose a challenge to public justification, and ipso facto to political stability. I then show how religious exemptions can support stability by ameliorating these conflicts, and elaborate parameters for (...) identifying those exemptions most likely to achieve this stability-enhancing effect. (shrink)

For centuries, philosophers, political scientists, and jurists have struggled to understand the possibilities for justice and peace among a multiplicity of sovereign states. Like Dante, who sought to organize the world under the authority of the Holy Roman Empire, many theorists have tried to explain how sovereign states should be governed to ensure stability and peace in the absence of any established higher authority. Theories of World Governance traces the various conceptual approaches to world harmony from the close of (...) the Middle Ages to today. Considering the immediate problems of order in a decentralized world community, Cornelius F. Murphy, Jr., outlines what he believes are the essential long-term conditions for world peace. Covering a wide range of disciplines -- from theology and philosophy to jurisprudence, ethics, and sociology -- Murphy explores how theorists have reflected upon the necessary components of an effective global order. At the outset, the thought of Christian Europe was shaped by a belief in a natural order established by the Creator of the universe. However, with the advent of the Enlightenment, the connections between the human and the transcendent were severed. There was a movement from a theocentric understanding of the powers of the human mind to an intellectual outlook that blurred the distinctions between the divine and human. This study in the history of ideas examines the profound effects of the fundamental shift from transcendence to immanence upon the development of international theory. Murphy discusses the thought of Leibniz, Wolff, Kant, Hegel, and Phillip Allott, among others. The study concludes with an extended reflection on the importanceof a sound political philosophy to the future well-being of the global community. Possible improvements in the existing arrangements, such as reform of the United Nations, are discussed. Murphy suggests that in order for a society of sovereign states to be transformed into a world political community, human rights and self-governance within states must first be strengthened and, at the same time, individuals of all states must begin to realize their responsibilities toward the whole human family. (shrink)

Until recently, it seemed like no theory about the relationship between rational credence and rational outright belief could reconcile three independently plausible assumptions: that our beliefs should be logically consistent, that our degrees of belief should be probabilistic, and that a rational agent believes something just in case she is sufficiently confident in it. Recently a new formal framework has been proposed that can accommodate these three assumptions, which is known as “the stability theory of (...) belief” or “high probability cores.” In this paper, I examine whether the stability theory of belief can meet two further constraints that have been proposed in the literature: that it is irrational to outright believe lottery propositions, and that it is irrational to hold outright beliefs based on purely statistical evidence. I argue that these two further constraints create a dilemma for a proponent of the stability theory: she must either deny that her theory is meant to give an account of the common epistemic notion of outright belief, or supplement the theory with further constraints on rational belief that render the stability theory explanatorily idle. This result sheds light on the general prospects for a purely formal theory of the relationship between rational credence and belief, i.e. a theory that does not take into account belief content. I argue that it is doubtful that any such theory could properly account for these two constraints, and hence play an important role in characterizing our common epistemic notion of outright belief. (shrink)

What does it mean to hold a belief? Some of our ways of speaking in English suggest that to hold a belief is to have something in your mind: beliefs are things we acquire, defend, recover, and so on (Abelson, 1986). That is, believing is a matter of being in a state of having a thing. In this paper, I will argue for an alternative: believing is something we do. This is not a new suggestion. For instance, Matthew (...) Boyle (2011) defends a theory of belief as an activity, which he traces back to Aristotle. This paper, however, makes two new contributions: first, I argue for an analogy between belief and planning that fleshes out what it would mean to understand belief as an activity, and second, I aim to show how the resulting view can help sense of a variety of theories in cognitive psychology that suggest cognitive information storage is dynamic and reconstructive. (shrink)

The present paper aims at a synthesis of belief revision theory with the Sneed formalism known as the structuralist theory of science. This synthesis is brought about by a dynamisation of classical structuralism, with an abductive inference rule and base generated revisions in the style of Rott (2001). The formalism of prioritised default logic (PDL) serves as the medium of the synthesis. Why seek to integrate the Sneed formalism into belief revision theory? With the hybrid (...) system of the present investigation, a substantial simplification of the ranking information that is necessary to define revisions and contractions uniquely is achieved. This system is, furthermore, expressive enough to capture complex and non-trivial scientific examples. It is thus closely related to a novel research area within belief revision theory which addresses the dynamics of scientific knowledge. (shrink)

We initiate a systematic investigation of the abstract elementary classes that have amalgamation, satisfy tameness, and are stable in some cardinal. Assuming the singular cardinal hypothesis, we prove a full characterization of the stability cardinals, and connect the stability spectrum with the behavior of saturated models.We deduce that if a class is stable on a tail of cardinals, then it has no long splitting chains. This indicates that there is a clear notion of superstability in this framework.We also (...) present an application to homogeneous model theory: for [Formula: see text] a homogeneous diagram in a first-order theory [Formula: see text], if [Formula: see text] is both stable in [Formula: see text] and categorical in [Formula: see text] then [Formula: see text] is stable in all [Formula: see text]. (shrink)

Williams puts forward and develops his theory of integrity on the basis of criticizing utilitarianism and Kantian ethics as too demanding to make enough room for personal projects. Instead, his integrity theory advocates that we should act out of commitments with which we deeply identify ourselves. In doing so, we express who we really are and make our life meaningful. If not so, our integrity would be violated and we may lose ourselves. Such a description of the self (...) in moral life is criticized as solipsism for that it makes the relationship between one’s projects and himself only be regulated by himself. This paper aims to point out that such criticism is inappropriate. To show the inaccuracy of the criticism, the author will analyze the relationship between the self and others in two aspects. The first aspect is about the structure of formation of desires and others, and the second one is about the action responsibility and others. After analysis, in the first aspect of desires, the self needs others to form and stabilize desires, beliefs and motivations to cooperate with others. Others help the self to sustain the sense of reality to prevent the self from forming wishful thinking. As to action, others’ need for response is an important element in ascribing the self’s action responsibility. The self acquires self-conception, self-cognition and self-identity through the interaction with others. Thus, others play an essential role in Williams’ theory of integrity. Although there are some flaws in Williams’ integrity theory, to reexamine his theory is conducive to our understanding of moral life. (shrink)

Rational actions reflect beliefs and preferences in certain orderly ways. The problem of theory is to explain which beliefs and preferences are relevant to the rationality of particular actions, and exactly how they are relevant. One distinction of interest here is between an agent's beliefs and preferences just before an action's time, and his beliefs and preferences at its time. Theorists do not agree about the times of beliefs and desires that are relevant to the rationality of action. Another (...) distinction is between actions that would, in one sense or another, maximize expected utilities given relevant beliefs and desires, and actions, decisions for which would, in one sense or another, be stable. There is disagreement about the relevance of these things to the rationality of actions. Here, in the first part below, several possible positions on these issues are explained and compared. In the second part, I contrast perspectives on these issues, and comment on arguments that might be brought against the position I favor. In the third part, I restate and elaborate on this position. (shrink)

The distinguished philosopher Louis Loeb examines the epistemological framework of Scottish philosopher David Hume, as employed in his celebrated work A Treatise of Human Nature. Loeb's project is to advance an integrated interpretation of Hume's accounts of belief and justification. His thesis is that Hume, in his Treatise, has a "stability-based" theory of justification which posits that his belief is justified if it is the result of a belief producing mechanism that engenders stable beliefs. But (...) Loeb argues that the striking corollary to this theory is that no belief generating mechanism is fully stable - or fully justified - for a fully reflective person. This carefully argued and original interpretation of Hume makes sense of seemingly contradictory ideas and will provoke serious discussion among Hume scholars. (shrink)

David Hume's A Treatise of Human Nature is famous for its extreme skepticism. Louis Loeb argues that Hume's destructive conclusions have in fact obscured a constructive stage that Hume abandons prematurely. Working within a philosophical tradition that values tranquillity, Hume favors an epistemology that links justification with settled belief. Hume appeals to psychological stability to support his own epistemological assessments, both favorable regarding causal inference, and unfavorable regarding imaginative propensities. The theory's success in explaining Hume's epistemic distinctions (...) gives way to pessimism, since Hume contends that reflection on beliefs is deeply destabilizing. So much the worse, Hume concludes, for placing a premium on reflection. Hume endorses and defends the position that stable beliefs of unreflective persons are justified, though they would not survive reflection. At the same time, Hume relishes the paradox that unreflective beliefs enjoy a preferred epistemic status and strains to establish it. Loeb introduces a series of amendments to the Treatise that secures a more positive result for justified belief while maintaining Hume's fundamental principles. In his review of Hume's applications of his epistemology, Loeb uncovers a stratum of psychological doctrine beyond associationism, a theory of conditions in which beliefs are felt to conflict and of the resolution of this uneasiness or dissonance. This theory of mental conflict is also essential to Hume's strategy for integrating empiricism about meaning with his naturalism. However, Hume fails to provide a general account of the conditions in which conflicting beliefs lead to persisting instability, so his theory is incomplete. Loeb explores Hume's concern with stability in reference to his discussions of belief, education, the probability of causes, unphilosophical probability, the belief in body, sympathy and moral judgment, and the passions, among other topics. (shrink)

This paper presents a theory of belief revision that allows people to come tobelieve in contradictions. The AGM theory of belief revision takes revision,in part, to be consistency maintenance. The present theory replacesconsistency with a weaker property called coherence. In addition to herbelief set, we take a set of statements that she rejects. These two sets arecoherent if they do not overlap. On this theory, belief revision maintains coherence.

A probability function on an algebra of events is assumed. Some of the events are scientific refutations in the sense that the assumption of their occurrence leads to a contradiction. It is shown that the scientific refutations form a a boolean sublattice in terms of the subset ordering. In general, the restriction of to the sublattice is not a probability function on the sublattice. It does, however, have many interesting properties. In particular, (i) it captures probabilistic ideas inherent in some (...) legal procedures; and (ii) it is used to argue against the commonly held view that behavioral violations of certain basic conditions for qualitative probability are indicative of irrationality. Also discussed are (iii) the relationship between the formal development of scientific refutations presented here and intuitionistic logic, and (iv) an interpretation of a belief function used in the behavioral sciences to explain empirical results about subjective, probabilistic estimation, including the Ellsberg paradox. (shrink)

I develop a “two-systems” interpretation of Husserl’s theory of belief. On this interpretation, Husserl accounts for our sense of the world in terms of (1) a system of embodied horizon meanings and passive synthesis, which is involved in any experience of an object, and (2) a system of active synthesis and sedimentation, which comes on line when we attend to an object’s properties. I use this account to defend Husserl against several forms of Heideggerean critique. One line of (...) critique, recently elaborated by Taylor Carman, says that Husserl wrongly loads everyday perception with explicit beliefs about things. A second, earlier line of critique, due to Hubert Dreyfus, charges Husserl with thinking of belief on a problematic Artificial Intelligence (AI) model which involves explicit rules applied to discrete symbol structures. I argue that these criticisms are based on a conflation of Husserl’s two systems of belief. The conception of Husserlian phenomenology which emerges is compatible with Heideggerean phenomenology and associated approaches to cognitive science (in particular, dynamical systems theory). (shrink)

This volume will thus appeal to advanced students and scholars not just in the history of early modern philosophy but in epistemology and other core areas of ...

A formalism is introduced to represent the connective organization of an evolving neuronal network and the effects of environment on this organization by stabilization or degeneration of labile synapses associated with functioning. Learning, or the acquisition of an associative property, is related to a characteristic variability of the connective organization: the interaction of the environment with the genetic program is printed as a particular pattern of such organization through neuronal functioning. An application of the theory to the development of (...) the neuromuscular junction is proposed and the basic selective aspect of learning emphasized. (shrink)

Several authors have investigated the question of whether canonical logic-based accounts of belief revision, and especially the theory of AGM revision operators, are compatible with the dynamics of Bayesian conditioning. Here we show that Leitgeb's stability rule for acceptance, which has been offered as a possible solution to the Lottery paradox, allows to bridge AGM revision and Bayesian update: using the stability rule, we prove that AGM revision operators emerge from Bayesian conditioning by an application of (...) the principle of maximum entropy. In situations of information loss, or whenever the agent relies on a qualitative description of her information state - such as a plausibility ranking over hypotheses, or a belief set - the dynamics of AGM belief revision are compatible with Bayesian conditioning; indeed, through the maximum entropy principle, conditioning naturally generated AGM revision operators. This mitigates an impossibility theorem of Lin and Kelly for tracking Bayesian conditioning with AGM revision, and suggests an approach to the compatibility problem that highlights the information loss incurred by acceptance rules in passing from probabilistic to qualitative representations of beliefs. (shrink)

We identify two aspects of the problem of maintaining perceptual stability despite an observer's eye movements. The first, visual direction constancy, is the (egocentric) stability of apparent positions of objects in the visual world relative to the perceiver. The second, visual position constancy, is the (exocentric) stability of positions of objects relative to each other. We analyze the constancy of visual direction despite saccadic eye movements.Three information sources have been proposed to enable the visual system to achieve (...) stability: the structure of the visual field, proprioceptive inflow, and a copy of neural efference or outflow to the extraocular muscles. None of these sources by itself provides adequate information to achieve visual direction constancy; present evidence indicates that all three are used.Our final question concerns how information processing operations result in a stable world. The three traditionally suggested means have been elimination, translation, or evaluation. All are rejected. From a review of the physiological and psychological evidence we conclude that no subtraction, compensation, or evaluation need take place. The problem for which these solutions were developed turns out to be a false one. We propose a “calibration” solution: correct spatiotopic positions are calculated anew for each fixation. Inflow, outflow, and retinal sources are used in this calculation: saccadic suppression of displacement bridges the errors between these sources and the actual extent of movement. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Hume's Theory of Belief Michael M. Gorman Belief is a key concept in Hume's philosophy, and yet Hume's statements aboutbeliefappear to be hopelesslyinconsistent.1 Various solutions have been offered, from saying that Hume is incorrigibly confused to saying that his theory ofbeliefchanged over the course of his career. This article will focus on the question ofthe nature ofbelief and show that Hume's theory is in (...) fact consistent. In sections 1 and 2, I will separate those passages where Hume discusses the nature of beUeffrom those where he discusses other questions. In sections 3-6, 1 will examine his theory ofthe nature ofbelief. Finally, in section 7, 1 will briefly look at his theories on other questions concerning belief. 1.Hume's statements about belief can be divided into at least nine different categories. Hume says that a beliefis: 1.an idea conceived in a certain manner (e.g., E 49, T 96); 2.that certain manner ofconception itself(e.g., E 49, T 97); 3.an idea that feels a certain way (e.g., E 48, T 103); 4.that certain feeling itself(e.g., E 49, T 624, 629); 5.an idea that has a great influence on the mind (e.g, T 118-20); 6.an act ofmind rendering realities influential on the mind (e.g., E 49, T 629); 7.a lively idea related to an impression (e.g., T 96); 8.a lively manner of conceiving an idea, which manner arises from an impression (e.g., E 50); 9.something that makes ideas forceful and vivacious (e.g., T 101, 627). If one were in a really bad mood, one could probably split Hume's formulations into even more categories.2 2.One solution wouldbe to saythat Hume ishopelessly confused.3 This is not accurate, however. The first thingtobe done is to notice thatonly the statements belonging to the first four categories are actually answers to the question, What is the nature of beUef? Hume tells us that abeUefis: an ideaconceived in acertainmanner, theverymanner ofconception ofsuch an idea, an idea thatfeels a certain way, thevery feeling of such an idea. To explicate Hume's theory of the nature of Volume XLX Number 1 89 MICHAEL M. GORMAN beUef, I will show that the second formulation is a poor version ofthe first and that the fourth formulation is a poor version ofthe third—in other words, that there are reallyonlytwo theorieshere, notfour. Then I will reconcile these two theories. As for Hume's discussion ofother questions concerning belief, the statementsin the fifth and sixth categories address the question, What does à belief do? Those in the seventh and eighth categories take for granted the statements in the first and second categories respectively and address the further question, What causes beliefs? Those in the ninth category are probably cases of bad writing. All these will be examined in section 7. 3. Let us look at the texts that fit into the first and second categories listed in section 1. These express what can be called Hume's "manner-of-conception theory" (MCT). First, Hume says that a belief is a certain kind ofidea, namely an idea conceived in a certain manner. He describes this manner ofconception by saying that such an idea is conceived with a high degree of force and vivacity, liveliness, and so forth. This analysis rests on Hume's distinction between the content of an idea and the manner in which the idea is conceived. [A]s 'tis certain there is a great difference betwixt the simple conception ofthe existence ofan object, and the beliefofit, and as this difference lies not in the parts or composition of the idea, which we conceive; it follows, that it must lie in the manner, in which we conceive it. (T 94-95) One can believe that something is the case, or one can simply conceive ofits being the case without assenting to it. In both cases, Hume says, the content ofthe idea must be the same. Otherwise, both making up one's mind and disagreeingwith someone wouldbe impossible: making up one's mind would be a transition from thinking about one thing to thinking about... (shrink)

Belief revision theories aim to model the dynamics of epistemic states. Besides beliefs, epistemic states comprise most importantly justificational structures. Typically, belief revision theories, however, model the dynamics of beliefs while neglecting justificational structures over and above logical relations. Despite some awareness that this approach is problematic, how devastating the consequences of this neglect are has not yet been fully grasped. In this paper, I argue that taking justificational structures into account could solve four well-known problems of (...) class='Hi'>belief revision. (shrink)

The frame problem is the problem of how we selectively apply relevant knowledge to particular situations in order to generate practical solutions. Some philosophers have thought that the frame problem can be used to rule out, or argue in favor of, a particular theory of belief states. But this is a mistake. Sentential theories of belief are no better or worse off with respect to the frame problem than are alternative theories of belief, most notably, the (...) “map” theory of belief. (shrink)

Since belief revision deals with the interaction of belief and information over time, branching-time temporal logic seems a natural setting for a theory of belief change. We propose two extensions of a modal logic that, besides the next-time temporal operator, contains a belief operator and an information operator. The first logic is shown to provide an axiomatic characterization of the first six postulates of the AGM theory of belief revision, while the second, stronger, (...) logic provides an axiomatic characterization of the full set of AGM postulates. © 2006 Elsevier B.V. All rights reserved. (shrink)

One of Frank Ramsey’s crucial contributions to philosophy is his theory of belief. Ramsey deals with the notion of full belief in “Facts and Propositions,” as well as that of degrees of belief in “Truth and Probability.” In his posthumously published manuscript OnTruth, Ramsey analyses beliefs and emphasizes the essential role of agent’s actions in his theory. In this paper, I follow Ramsey’s thoughts as they developed in consecutive essays all evolving around the concept of (...) belief. I show how Ramsey considers partial and full beliefs, distinguishing between full, certain, and true ones. His final project was to be titled Truth and Probability, which means Ramsey was considering these issues simultaneously. I examine the strong influence pragmatism has on Ramsey’s thoughts to finally show that even though Ramsey is working with both these doxastic states his rejection of true beliefs for his final theory of belief becomes clearer with every essay. I will argue that Ramsey’s final theory of belief is a theory of partial belief. Moreover, I will provide arguments supporting a normative reading of Ramsey’s theory. (shrink)

These days the two most popular approaches to belief ascription are Millianism and Contextualism. The former approach is inconsistent with the existence of ordinary Frege cases, such as Lois believing that Superman flies while failing to believe that Clark Kent flies. The Millian holds that the only truth-conditionally relevant aspect of a proper name is its referent or extension. Contextualism, as I will define it for the purposes of this essay, includes all theories according to which ascriptions of the (...) form ‘S believes that a is F’ and ‘S believes that b is F’, where ‘a’ and ‘b’ are coreferential proper names, may, depending on the context, differ in truth-value even though in those very contexts each ascription relates the same believer to the very same proposition. What the two theories have in common is the claim that names are Millian. What separates the two theories is what they say about belief contexts. In this essay I prove that Millianism is true, Contextualism is true, or our intuitions regarding belief ascriptions are hopelessly inaccurate. As a consequence, my argument is a proof that either names and many general terms are Millian or our intuitions regarding belief ascriptions are hopelessly inaccurate. (shrink)

In legal proceedings, a fact-finder needs to decide whether a defendant is guilty or not based on probabilistic evidence. We defend the thesis that the defendant should be found guilty just in case it is rational for the fact-finder to believe that the defendant is guilty. We draw on Leitgeb’s stability theory for an appropriate notion of rational belief and show how our thesis solves the problem of statistical evidence. Finally, we defend our account of legal proof (...) against challenges from Staffel and compare it to a recent competitor put forth by Moss. (shrink)

This paper investigates the stochastically exponential stability of reaction-diffusion impulsive stochastic cellular neural networks. The reaction-diffusion pulse stochastic system model characterizes the complexity of practical engineering and brings about mathematical difficulties, too. However, the difficulties have been overcome by constructing a new contraction mapping and an appropriate distance on a product space which is guaranteed to be a complete space. This is the first time to employ the fixed point theorem to derive the stability criterion of reaction-diffusion impulsive (...) stochastic CNN with distributed time delays. Finally, an example is provided to illustrate the effectiveness of the proposed methods. (shrink)

Russellianism is characterized as the view that ‘that’-clauses refer to Russellian propositions, familiar set-theoretic pairings of objects and properties. Two belief-reporting sentences, S and S*, possessing the same Russellian content, but differing in their intuitive truthvalue, are provided. It is argued that no Russellian explanation of the difference in apparent truthvalue is available, with the upshot that the Russellian fails to explain how a speaker who asserts S but rejects S* can be innocent of inconsistency, either in what she (...) says or, at least, in what she implicates. Yet, while there is no semantic or pragmatic explanation of the substitution failure consistent with Russellianism, there remains the possibility of a purely psychological explanation that is, nonetheless, Russellian. This is an attractive option. It comes at a cost, however, since, in abandoning the project of providing a semantic or pragmatic explanation of anti-substitutivity intuitions, the Russellian is no longer in the business of explaining how a rational, well-informed speaker, with no incentive to mislead, can avoid inconsistency in reporting the facts as they appear. (shrink)

An idea going back to Plato’s Meno is that knowledge is stable. Recently, a seemingly stronger and more exciting thesis has been advanced, namely that rational belief is stable. I sketch two stability theories of knowledge and rational belief, and present an example intended to show that knowledge need not be stable and rational belief need not be stable either. The second claim does not follow from the first, even if we take knowledge to be a (...) special kind of rational belief. ‘Stability’ is an ambiguous term that has an internally conditional structure. (shrink)

In Theory of Games, Braithwaite shows that mathematical theory of games can be used to shed light upon such notions as prudence and justice in situations involving human choices and co-operation between individuals. In his work on the Nature of Religious Belief he argues that just as a moral assertion is an expression of an intention to act in accordance with certain policy, so a religious assertion must be understood as a declaration of adherence to a system (...) of moral principles governing 'inner life' as well as external behaviour. (shrink)