This article examines the method of reflective equilibrium (RE) and its role in philosophical inquiry. It begins with an overview of RE before discussing some of the subtleties involved in its interpretation, including challenges to the standard assumption that RE is a form of coherentism. It then evaluates some of the main objections to RE, in particular, the criticism that this method generates unreasonable beliefs. It concludes by considering how RE relates to recent debates about the role of intuitions (...) in philosophy. (shrink)

How can we figure out what’s right or wrong, if moral truths are neither self-evident nor something we can perceive? Very roughly, the method of reflective equilibrium (RE) says that we should begin moral inquiry from what we already confidently think, seeking to find a a match between our initial convictions and general principles that are well-supported by background theories, mutually adjusting both until we reach a coherent outlook in which our beliefs are in harmony (the equilibrium part) (...) and we know why and how they support each other (the reflective part). It has been central to the self-understanding of normative ethics and other branches of philosophy in the last half a century. In this chapter, we examine the history of the idea of RE and introduce a schema for generating 256 variants. We explain why RE is subject to serious objections insofar as it purports to yield epistemic justification in virtue of achieving coherence. However, we also develop a new argument to the effect that RE is the best feasible method for us to achieve moral understanding and the ability to justify our judgments to others. It may thus be crucial for responsible moral inquiry, even if coherence among considered judgments and principles is neither sufficient nor necessary for justified moral belief. (shrink)

Philippe Huneman has recently questioned the widespread application of mechanistic models of scientific explanation based on the existence of structural explanations, i.e. explanations that account for the phenomenon to be explained in virtue of the mathematical properties of the system where the phenomenon obtains, rather than in terms of the mechanisms that causally produce the phenomenon. Structural explanations are very diverse, including cases like explanations in terms of bowtie structures, in terms of the topological properties of the system, or in (...) terms of equilibrium. The role of mathematics in bowtie structured systems and in topologically constrained systems has recently been examined in different papers. However, the specific role that mathematical properties play in equilibrium explanations requires further examination, as different authors defend different interpretations, some of them closer to the new-mechanistic approach than to the structural model advocated by Huneman. In this paper, we cover this gap by investigating the explanatory role that mathematics play in Blaser and Kirschner’s nested equilibrium model of the stability of persistent long-term human-microbe associations. We argue that their model is explanatory because: i) it provides a mathematical structure in the form of a set of differential equations that together satisfy an ESS; ii) that the nested nature of the ESSs makes the explanation of host-microbe persistent associations robust to any perturbation; iii) that this is so because the properties of the ESS directly mirror the properties of the biological system in a non-causal way. The combination of these three theses make equilibrium explanations look more similar to structural explanations than to causal-mechanistic explanation. (shrink)

In this paper, we focus on one controversial element of the method of reflective equilibrium, namely Rawls’s idea that the commitments that enter the justificatory procedure should be pre-selected or filtered: According to him, only considered judgements should be taken into account in moral philosophy. There are two camps of critics of this filtering process: 1) Critics of reflective equilibrium: They reject the Rawlsian filtering process as too weak and seek a more reliable one, which would actually constitute (...) a distinct epistemic method. 2) Proponents of reflective equilibrium: They reject the Rawlsian filtering process as too exclusionary. We defend RE against its critics, arguing that the method can secure reasonable commitments without depending on a strong external filtering process. However, we side with the critical proponents of reflective equilibrium and argue that without the Rawlsian weak filtering process, RE is more plausible both as a general method as well as in the context of moral philosophy. (shrink)

The method of reflective equilibrium focuses on the relationship between principles and judgments. Principles are relatively general rules for comprehending the area of enquiry. Judgments are our intuitions or commitments, ‘at all levels of generality’ (Rawls 1975: 8), regarding the subject matter. The basic idea of reflective equilibrium is to bring principles and judgments into accord. This can be achieved by revising the principles and/or the judgments. -/- I first look at normative political judgments (Section 2) before considering (...) the role of principles, arguments, devices of representation and background theory in wide reflective equilibrium (Section 3). I then consider two of the main challenges to the method (Section 4), and show how to use it to deliberate about substantive political principles (Section 5). I conclude with an extended example of the method in action (Section 6). (shrink)

Donald Capps (2009: 145) suggested the hypothesis that “the Nash equilibrium is descriptive of the normal brain, whereas the game theory formulated by John van Neumann, which Nash’s theory challenges, is descriptive of the schizophrenic brain”. The paper offers arguments in its favor. They are from psychiatry, game theory, set theory, philosophy and theology. The Nash equilibrium corresponds to wholeness, stable emergent properties as well as to representing actual infinity on a material, limited and finite organ as a (...) human brain. (shrink)

I distinguish two ways of developing anti-exceptionalist approaches to logical revision. The first emphasizes comparing the theoretical virtuousness of developed bodies of logical theories, such as classical and intuitionistic logic. I'll call this whole theory comparison. The second attempts local repairs to problematic bits of our logical theories, such as dropping excluded middle to deal with intuitions about vagueness. I'll call this the piecemeal approach. I then briefly discuss a problem I've developed elsewhere for comparisons of logical theories. Essentially, the (...) problem is that a pair of logics may each evaluate the alternative as superior to themselves, resulting in oscillation between logical options. The piecemeal approach offers a way out of this problem andthereby might seem a preferable to whole theory comparisons. I go on to show that reflective equilibrium, the best known piecemeal method, has deep problems of its own when applied to logic. (shrink)

Boltzmannian statistical mechanics partitions the phase space of a sys- tem into macro-regions, and the largest of these is identified with equilibrium. What justifies this identification? Common answers focus on Boltzmann’s combinatorial argument, the Maxwell-Boltzmann distribution, and maxi- mum entropy considerations. We argue that they fail and present a new answer. We characterise equilibrium as the macrostate in which a system spends most of its time and prove a new theorem establishing that equilib- rium thus defined corresponds to (...) the largest macro-region. Our derivation is completely general in that it does not rely on assumptions about a system’s dynamics or internal interactions. (shrink)

This is a handout identifying twenty objections that have been made to the reflective equilibrium method.

T.H. Irwin characterizes the reflective equilibrium procedure as one which should not involve ruthless surgery, in a metaphorical sense. I argue that many people will find avoiding this difficult, because they do not conceive or go in for subtle options.

This paper aims to flesh out the celebrated notion of reflective equilibrium within a probabilistic framework for epistemic rationality. On the account developed here, an agent's attitudes are in reflective equilibrium when there is a certain sort of harmony between the agent's credences, on the one hand, and what the agent accepts, on the other hand. Somewhat more precisely, reflective equilibrium is taken to consist in the agent accepting, or being prepared to accept, all and only claims (...) that follow from a maximally comprehensive theory that is more probable than any other such theory. Drawing on previous work, the paper shows that when an agent is in reflective equilibrium in this sense, the set of claims they accept or are prepared to accept is bound to be logically consistent and closed under logical implication. The paper also argues that this account can explain various features of philosophical argumentation in which the notion of reflective equilibrium features centrally, such as the emphasis on evaluating philosophical theories holistically rather than in a piecemeal fashion. (shrink)

The received wisdom in statistical mechanics is that isolated systems, when left to themselves, approach equilibrium. But under what circumstances does an equilibrium state exist and an approach to equilibrium take place? In this paper we address these questions from the vantage point of the long-run fraction of time definition of Boltzmannian equilibrium that we developed in two recent papers. After a short summary of Boltzmannian statistical mechanics and our definition of equilibrium, we state an (...) existence theorem which provides general criteria for the existence of an equilibrium state. We first illustrate how the theorem works with a toy example, which allows us to illustrate the various elements of the theorem in a simple setting. After a look at the ergodic programme, we discuss equilibria in a number of different gas systems: the ideal gas, the dilute gas, the Kac gas, the stadium gas, the mushroom gas and the multi-mushroom gas. In the conclusion we briefly summarise the main points and highlight open questions. (shrink)

Practical equilibrium, like reflective equilibrium, is a way of deciding what to think about morality. It shares with reflective equilibrium the general thesis that there is some way in which a moral theory must, in order to be acceptable, answer to one’s moral intuitions, but it differs from reflective equilibrium in its specification of exactly how a moral theory must answer to one’s intuitions. Whereas reflective equilibrium focuses on a theory’s consistency with those intuitions, practical (...) equilibrium also gives weight to a theory’s approval of one’s having those intuitions. (shrink)

I address the worry that reflective equilibrium is too weak as an account of justification because it fails to let differing views converge. I take up informal aspects of convergence and operationalise them in a formal model of reflective equilibrium. This allows for exploration by the means of computer simulation. Findings show that the formal model does not yield unique outputs, but still boosts agreement. I conclude from this that reflective equilibrium is best seen as a pluralist (...) account of justification that cannot be accused of resulting in an “anything goes” relativism. (shrink)

In previous work, I have sought to show that the basic argument for epistemic relativism derives from the problem of the criterion that stems from ancient Pyrrhonian scepticism. Because epistemic relativism depends upon a sceptical strategy, it is possible to respond to relativism on the basis of an anti-sceptical strategy. I argue that the particularist response to scepticism proposed by Roderick Chisholm may be combined with a naturalistic and reliabilist conception of epistemic warrant as the basis for a satisfactory response (...) to epistemic relativism. In this paper, I outline this particularist response to relativism, and provide further commentary on the relationship between naturalism and particularism. In addition, I set the approach in contrast with reflective equilibrium approaches in epistemology. I also briefly explore the connection between the particularist response to relativism and G. E. Moore’s defense of an external world. (shrink)

I argue against the claim that it is trivial to state that Sidgwick used the method of wide reflective equilibrium. This claim is based on what could be called the Triviality Charge, which is pressed against the method of wide reflective equilibrium by Peter Singer. According to this charge, there is no alternative to using the method if it is interpreted as involving all relevant philosophical background arguments. The main argument against the Triviality Charge is that although the (...) method of wide reflective equilibrium is compatible with coherentism (understood as a form of weak foundationalism) as well as moderate foundationalism, it is not compatible with strong foundationalism. Hence, the claim that a philosopher uses the method of wide reflective equilibrium is informative. In particular, this is true with regard to Sidgwick. (shrink)

This paper proposes a Rawlsian conception of moral justification as a social activity. Through a close reading, Rawls’ view of ethical justification is shown to be significantly more dialogical and deliberative than is commonly appreciated. The result is a view that emphasizes the social nature of ethical justification and identifies information sharing between persons as the crux of justification in metaethics, in contrast to normative ethics. I call it Rawlsian reflective equilibrium to distinguish it from other varieties.

In this paper, I present a problem for regarding the reflective equilibrium and original position methods as consistent. I do not prove that there is an inconsistency, but there is a puzzle of how the two methods can be made consistent. The concern about inconsistency is because the former method allows for a kind of historical bias, as noted by T.H. Irwin, whereas the latter method seeks to guard against historical bias.

Social scientists, political scientists and philosophers debate key concepts such as democracy, power and autonomy. Contested concepts like these pose questions: Are terms such as “democracy” hopelessly ambiguous? How can two theorists defend alternative accounts of democracy without talking past each other? How can we understand debates in which theorists disagree about what democracy is? This paper first discusses the popular strategy to answer these questions by appealing to Rawls’s distinction between concepts and conceptions. According to this approach, defenders of (...) rival conceptions of, e.g. justice can disagree without talking past each other because they share the concept of justice. It is argued that this idea is attractive but limited in application and that it fails to do justice to the dynamic and normative aspects of concept formation. Reflective equilibrium is then suggested as an alternative approach. It replaces the static contrast between a conceptual ‘core’ and competing conceptions by a dynamic perspective of concept formation as a partly normative undertaking: pre-theoretic language use and commitments can provide a shared starting point for developing alternative accounts which yield different concepts of, e.g. justice. This perspective provides a new understanding of how it is possible that different theorists defend rival accounts of, e.g. justice, without talking past each other. (shrink)

The goal of this paper is to re-assess reflective equilibrium (“RE”). We ask whether there is a conception of RE that can be defended against the various objections that have been raised against RE in the literature. To answer this question, we provide a systematic overview of the main objections, and for each objection, we investigate why it looks plausible, on what standard or expectation it is based, how it can be answered and which features RE must have to (...) meet the objection. We find that there is a conception of RE that promises to withstand all objections. However, this conception has some features that may be unexpected: it aims at a justification that is tailored to understanding and it is neither tied to intuitions nor does it imply coherentism. We conclude by pointing out a cluster of questions we think RE theorists should pay more attention to. (shrink)

In Being Realistic About Reasons,T.M. Scanlon develops a non-naturalistic realist account of normative reasons. A crucial part of that account is Scanlon’s contention that there is no deep epistemological problem for non-naturalistic realists, and that the method of reflective equilibrium suffices to explain the possibility of normative knowledge. In this critical notice we argue that this is not so: on a realist picture, normative knowledge presupposes a significant correlation between distinct entities, namely between normative beliefs and normative facts. This (...) correlation calls for an explanation. We show that Scanlon does not have the resources to offer such an explanation. (shrink)

Which moral judgments should one pay attention to in building a moral philosophy? Thomas Kelly and Sarah McGrath object to John Rawls’s suggestion to not rely on judgments heavily bound up with one’s own interests. I propose a solution in response to the objection.

John Rawls’ method of reflective equilibrium is the most influential methodology in contemporary ethics.This paper argues that this influence is undeserved, for two reasons. First, reflective equilibrium fails to accomplish two tasks that give us reason to care about methodology. On the one hand, it fails to explain how (or whether) moral knowledge is possible.This is because the method is explicitly oriented towards the distinct (and less interesting) task of characterizing our moral sensibilities. On the other hand, the (...) method fails to provide an informative way of adjudicating central methodological debates in ethics. Second, where Rawls’ method –and the background methodology he uses to motivate it –do have substance, that substance is implausible. The role of dispositions in the method entails that it endorses obviously irrational inferences. Further, the method makes substantively implausible distinctions between the dispositions that are allowed to play a methodological role. Rawls' background methodology appeals to the idea of a psychology in ‘wide reflective equilibrium’. However, both formal and empirical path-dependence considerations strongly suggest that there is nothing even minimally determinate that is someone’s psychology in ‘wide reflective equilibrium’. I close by exploring salient attempts to salvage the spirit of reflective equilibrium by abandoning elements of Rawls’ approach. I argue that none of these attempts succeed. I conclude that appeal to the method of reflective equilibrium is not a helpful means of addressing pressing methodological questions in ethics. In a slogan, reflective equilibrium is methodologically irrelevant. (shrink)

We discuss the social-epistemic aspects of Catherine Elgin’s theory of reflective equilibrium and understanding and argue that it yields an argument for the view that a crucial social-epistemic function of epistemic authorities is to foster understanding in their communities. We explore the competences that enable epistemic authorities to fulfil this role and argue that among them is an epistemic virtue we call “epistemic empathy”.

Consider a gas confined to the left half of a container. Then remove the wall separating the two parts. The gas will start spreading and soon be evenly distributed over the entire available space. The gas has approached equilibrium. Why does the gas behave in this way? The canonical answer to this question, originally proffered by Boltzmann, is that the system has to be ergodic for the approach to equilibrium to take place. This answer has been criticised on (...) different grounds and is now widely regarded as flawed. In this paper we argue that these criticisms have dismissed Boltzmann’s answer too quickly and that something almost like Boltzmann’s answer is true: the approach to equilibrium takes place if the system is epsilon-ergodic, i.e. ergodic on the entire accessible phase space except for a small region of measure epsilon. We introduce epsilon-ergodicity and argue that relevant systems in statistical mechanics are indeed espsilon-ergodic. (shrink)

This paper responds to Thomas Kelly and Sarah McGrath’s worry that there can be evil reflective equilibrium. I propose that some of John Rawls’s restrictions on moral judgments we can enter into the procedure serve to protect against evil reflective equilibrium.

John Rawls’ “reflective equilibrium” ranges amongst the most popular conceptions in contemporary ethics when it comes to the basic methodological question of how to justify and trade off different normative positions and attitudes. Even where Rawls’ specific contractualist account is not adhered to, “reflective equilibrium” is readily adopted as the guiding idea of coherentist approaches, seeking moral justification not in a purely deductive or inductive manner, but in some balancing procedure that will eventually procure a stable adjustment of (...) relevant doctrines and standpoints. However, it appears that the widespread use of this idea has led to some considerable deviations from its meaning within Rawls’ original framework and to a critical loss of conceptual cogency as an ethico-hermeneutical tool. This contribution identifies three kinds of “balancing” constellations that are frequently, but inadequately brought forth under the heading of Rawlsian “reflective equilibrium”: (a) balancing theoretical accounts against intuitive convictions; (b) balancing general principles against particular judgements; (c) balancing opposite ethical conceptions or divergent moral statements, respectively. It is argued that each of these applications departs from Rawls’ original construction of “reflective equilibrium” and also deprives the idea of its reliability in clarifying and weighing moral stances. (shrink)

Standard models in epistemic game theory make strong assumptions about agents’ knowledge of their own beliefs. Agents are typically assumed to be introspectively omniscient: if an agent believes an event with probability p, she is certain that she believes it with probability p. This paper investigates the extent to which this assumption can be relaxed while preserving some standard epistemic results. Geanakoplos (1989) claims to provide an Agreement Theorem using the “truth” axiom, together with the property of balancedness, a significant (...) relaxation of introspective omniscience. I provide an example which shows that Geanakoplos’s statement is incorrect. I then introduce a new property, local balancedness, which allows us both to correct Geanakoplos’s result, and to extend it to cases where the truth axiom may fail. I exploit this general Agreement Theorem to provide novel epistemic conditions for correlated and Nash equilibrium, both of which relax the assumption of introspective omniscience. In all three cases, the results are also extended to infinite state spaces. (This is Chapter 5 of my 2014 Oxford DPhil (PhD) thesis.). (shrink)

I consider Timothy Williamson’s objection that we do not have any reason to regard reflective equilibrium as a philosophical method. I present what I think a Rawlsian advocate of the method would say, or could say.

Cornell realism (CR), a prominent meta-ethical position that has emerged since the last decades of the twentieth century, proposes a non-reductionist naturalistic account of moral properties and facts. This paper argues that the best version of CR’s chosen methodology for arriving at justified moral beliefs must be seen as a variant of reflective equilibrium. In comparison to the traditional versions, our proposal offers a ‘social’ reinterpretation of reflective equilibrium in delineating CR’s epistemology. We argue that it satisfactorily accounts (...) for objectivity and calls for the inclusion of the social nature of both moral and scientific inquiries. Emphasising the social dimension of their epistemological account also nudges debates in metaethics into incorporating the much-needed social dimension while dealing with questions of moral beliefs and facts that have been of CR’s concern. (shrink)

This article argues that, suitably modified, the method of reflective equilibrium is a plausible way of selecting moral principles. The appropriate conception of the method is wide and radical, admitting consideration of a full range of moral principles and arguments, and requiring the enquiring individual to consider others' views and undergo experiences that may offset any formative biases. The individual is not bound by his initial considered judgments, and may revise his view in any way whatsoever. It is appropriate (...) to describe the method as a balance between coherentism and fallibilist foundationalism. With these points in mind, various criticisms, including the claims that considered judgments are not initially credible and are shaped by prejudice, and that the method itself fails to determine principle selection, are challenged. (shrink)

In this paper, I attempt to synthesize the two most influential contemporary ethical approaches that appeal to moral intuitions, viz., Rawlsian reflective equilibrium and Audi’s moderate intuitionism. This paper has two parts. First, building upon the work of Audi and Gaut, I provide a more detailed and nuanced account of how these two approaches are compatible. Second, I show how this novel synthesis can both (1) fully address the main objections to reflective equilibrium, viz., that it provides neither (...) necessary nor sufficient conditions for the justification of our moral beliefs and (2) help ethical intuitionism to deal with the fundamental problem of peer disagreement over our basic moral intuitions. In doing so, I sketch out a novel and attractive diachronic way of thinking about peer disagreement more generally. (shrink)

In this paper, I present an objection to the reflective equilibrium method based on land purchases and trespassing. I then propose a solution, which involves a change to how we regard the method.

Much forensic inference based upon DNA evidence is made assuming Hardy-Weinberg Equilibrium (HWE) for the genetic loci being used. Several statistical tests to detect and measure deviation from HWE have been devised, and their limitations become more obvious when testing for deviation within multiallelic DNA loci. The most popular methods-Chi-square and Likelihood-ratio tests-are based on asymptotic results and cannot guarantee a good performance in the presence of low frequency genotypes. Since the parameter space dimension increases at a quadratic rate (...) on the number of alleles, some authors suggest applying sequential methods, where the multiallelic case is reformulated as a sequence of “biallelic” tests. However, in this approach it is not obvious how to assess the general evidence of the original hypothesis; nor is it clear how to establish the significance level for its acceptance/rejection. In this work, we introduce a straightforward method for the multiallelic HWE test, which overcomes the aforementioned issues of sequential methods. The core theory for the proposed method is given by the Full Bayesian Significance Test (FBST), an intuitive Bayesian approach which does not assign positive probabilities to zero measure sets when testing sharp hypotheses. We compare FBST performance to Chi-square, Likelihood-ratio and Markov chain tests, in three numerical experiments. The results suggest that FBST is a robust and high performance method for the HWE test, even in the presence of several alleles and small sample sizes. (shrink)

The method of reflective equilibrium (MRE) is a method of justification popularized by John Rawls and further developed by Norman Daniels, Michael DePaul, Folke Tersman, and Catherine Z. Elgin, among others. The basic idea is that epistemic agents have justified beliefs if they have succeeded in forming their beliefs into a harmonious system of beliefs which they reflectively judge to be the most plausible. Despite the common reference to MRE as a method, its mechanisms or rules are typically expressed (...) in a metaphorical or simplified manner and are therefore criticized as too vague. Recent efforts to counter this criticism have been directed towards the attempt to provide formal explications of MRE. This paper aims to supplement these efforts by providing an informal working definition of MRE. This approach challenges the view that MRE can adequately be characterized only in the negative as a set of anti-essentialisms. I argue that epistemic agents follow MRE iff they follow four interconnected rules, which are concerned with a minimalistic form of foundationalism, a minimalistic form of fallibilism, a moderate form of holism, and a minimalistic form of rationality. In the critical spirit of MRE, the corresponding working definition is, of course, provisional and revisable. In general, the aim is to contribute to a reflective equilibrium (RE) concerning MRE. If it is successful, this working definition provides a better grasp of the most basic elements of the method and thereby enhances our understanding of it. (shrink)

In this paper it is argued that functional role semantics can be saved from criticisms, such as those raised by Putnam and Fodor and Lepore, by indicating which beliefs and inferences are more constitutive in determining mental content. The Scylla is not to use vague expressions; the Charybdis is not to endorse the analytic/synthetic distinction. The core idea is to use reflective equilibrium as a strategy to pinpoint which are the beliefs and the inferences that constitute the content of (...) a mental state. The beliefs and the inferences that are constitutive are those that are in reflective equilibrium in the process of attributing mental states to others. (shrink)

John Rawls recommends a reflective equilibrium method for evaluating which principles institutions should abide by. In this paper, I identify and challenge three assumptions that he makes.

Why does classical equilibrium statistical mechanics work? Malament and Zabell (1980) noticed that, for ergodic dynamical systems, the unique absolutely continuous invariant probability measure is the microcanonical. Earman and Rédei (1996) replied that systems of interest are very probably not ergodic, so that absolutely continuous invariant probability measures very distant from the microcanonical exist. In response I define the generalized properties of epsilon-ergodicity and epsilon-continuity, I review computational evidence indicating that systems of interest are epsilon-ergodic, I adapt Malament and (...) Zabell’s defense of absolute continuity to support epsilon-continuity, and I prove that, for epsilon-ergodic systems, every epsilon-continuous invariant probability measure is very close to the microcanonical. (shrink)

It seems that intuitions are indispensable in philosophical theorizing. Yet, there is evidence that our intuitions are heavily influenced by biases. This generates a puzzle: we must use our intuitions, but we seemingly cannot fully trust those very intuitions. In this paper, I develop a methodology for philosophical theorizing which attempts to avoid this puzzle. Specifically, I develop and defend a methodology that I call Extra-Wide Reflective Equilibrium. I argue that this method allows us to use intuitions, while also (...) providing a mechanism to check the influence of bias on our intuitions. In section I, defend the claim that intuitions are indispensable in philosophical theorizing. In section II, I outline recent arguments against the reliability of intuitions. In section III, I explain and defend my account of Extra-Wide Reflective Equilibrium. (shrink)

The method of reflective equilibrium starts with a set of initial judgments about some subject matter and refines that set to arrive at an improved philosophical worldview. However, the method faces two, trenchant objections. The Garbage-In, Garbage-Out Objection argues that reflective equilibrium fails because it has no principled reason to rely on some inputs to the method rather than others and putting garbage-in assures you of getting garbage-out. The Circularity Objection argues that reflective equilibrium fails because it (...) has no principled, non-circular way of sorting whatever is put into the method. The moves required to avoid both objections are instructive. Reflective equilibrium requires a meta-justification, and we offer one that appeals to the epistemic goods that underwrite a view known as phenomenal conservatism. Reflective equilibrium calls on us to start with what seems most likely to be true and to alter that collection of judgments in the ways that seem most likely to get us to the truth. Proceeding in this way is epistemically defensible and unavoidable. Hence, reflective equilibrium is not just good, it’s phenomenal. (shrink)

A model of brain function is presented that is consistently based on the biological principle of equilibrium. The neuronal modules of the cerebral cortex are proposed as units in which equilibrium between incoming signals and the synaptic structure is determined or established. Because of the electromagnetic activity of the brain, the electromagnetic properties of thecells are brought into focus. Due to the synaptic changes of the modules -essentially during sleep -an electromagnetic resting balance between the modules is established. (...) Incoming signals during the day, disturb the electromagnetic resting equilibrium and are detected and understood by this. The connecting nodes within the neuronal network are given by the equilibrium modules. Incoming information is represented in the form of the specific pathway of the network, while recognized information is represented by the equilibrium states within the modules. The paper leads to an understanding of information storage and processing in the brain. It even provides a hypothesis for understanding the emergence of the "self". Finally, the consideration of electromagnetic wave properties of neurons opens up a biophysical starting point to understanding conscious perceptions. In neuroscience, we lack a unifying theory of the brain. The reason for this may be an important detail –a missing link –that we do not yet see. Following the "track of biological equilibrium" in this paper leads to the hypothesis that the electromagnetic properties of the neurons are potential candidates to fill that gap. A hypothesis is developed describing their physiological significance in the processing of neurological information. (shrink)

H.L.A. Hart objects to John Rawls’s liberty principle by drawing attention to how our legal system accepts the restriction of liberty to protect against other harms than liberty-deprivation, such as by laws against slander, libel, and publications which grossly infringe privacy. What is the solution for John Rawls, faced with this criticism? One solution is, by the reflective equilibrium method, to justify abandoning the judgment that these actions are immoral.

Are John Rawls’s most noticeable methodological contributions, reflective equilibrium and the original position, consistent with each other? I draw attention to a worry that they stand in inconsistent relationships to the claim that ought implies can: it can only be the case that we ought to do something if we can do it.

Statistical tests that detect and measure deviation from the Hardy-Weinberg equilibrium (HWE) have been devised but are limited when testing for deviation at multiallelic DNA loci is attempted. Here we present the full Bayesian significance test (FBST) for the HWE. This test depends neither on asymptotic results nor on the number of possible alleles for the particular locus being evaluated. The FBST is based on the computation of an evidence index in favor of the HWE hypothesis. A great deal (...) of forensic inference based on DNA evidence assumes that the HWE is valid for the genetic loci being used. We applied the FBST to genotypes obtained at several multiallelic short tandem repeat loci during routine parentage testing; the locus Penta E exemplifies those clearly in HWE while others such as D10S1214 and D19S253 do not appear to show this. (shrink)

THIS PAPER IS THE CO-WINNER OF THE FRED BERGER PRIZE IN PHILOSOPHY OF LAW FOR THE 1999 AMERICAN PHILOSOPHICAL ASSOCIATION FOR THE BEST PUBLISHED PAPER IN THE PREVIOUS TWO YEARS. -/- The conflict between liberal legal theory and critical legal studies (CLS) is often framed as a matter of whether there is a theory of justice that the law should embody which all rational people could or must accept. In a divided society, the CLS critique of this view is overwhelming: (...) there is no such justice that can command universal assent. But the liberal critique of CLS, that it degenerates into an unpalatable moral relativism on which there is no non-arbitrary basis between a justice that underwrites forms of domination such as slavery and a justice that condemns such forms of domination is equally powerful and compelling. I show that there is a way to harmonize both views that is subject to empirical test. -/- First I show that the most widely accepted and influential formulation of liberal justice, John Rawls' Justice as Fairness, in. e.g, A Theory of Justice, cannot avoid the relativistic challenge because it would not be accepted, as a matter of sociological fact, by real people in a divided society once the "veil of Ignorance" is removed and real people step out from the Original Position. To put it differently, different reflective equilibria are inevitable in a divided society. Given the weight that Rawls properly puts on the realizability of a conception of justice and its stability in practice, this is a fatal objection. There can be no divided society that is "well ordered" in Rawls' sense, governed by a shared conception of justice and known to be so governed. -/- I then turn to the most powerful statement of the CLS view, Milton's Fisk's relativistic account in The State and Justice. For Fisk, justice is a compromise between what the dominant groups can compel and what the the subordinate groups will acquiesce to., There is no one such compromise in any given situation, so the account is in that sense relativistic, but more deeply, it is relativistic in that it offers no non-arbitrary, non-question begging way to choose between the official justice of, e.g., a slaveholding society and and the radical justice of the slaves, which has no place for slaveholders as a group or slavery as an institution.All that Fisk can offer is an arbitrary existential choice: I'm with the slaves. (Or the slaveowners.) Most of us would find this disconcerting or even unacceptable. -/- I show that Fisk's general sort of account can be modified to allow for an non-arbitrary choice. Given general facts about human nature, societies based on domination will produce resistance that over the long run will diminish or eliminate various forms of domination. Through a sort of ratchet effect, rights won will be hard if not impossible to reverse. Societies embodying forms of domination can therefore be compared on dimensions of stability: the more domination, the more resistance, and the less stability. Such societies are inferior on the dimension of justice to more emancipatory society on the terms of both kinds of justice, official and radical. -/- This is not question begging because regimes of domination incorporate stability no less than more emancipatory social orders. The choice between official justice embodying domination and radical justice that does not is not arbitrary because it is based on a shared commitment to long term stability. This offers an empirical test of which social orders are more justice, and a prediction that over time, domination will tend to decrease. (shrink)

It is an ongoing controversy whether natural selection is a cause of population change, or a mere statistical description of how individual births and deaths accumulate. In this paper I restate the problem in terms of the reference class problem, and propose how the structure of stable equilibrium can provide a solution in continuity with biological practice. Insofar natural selection can be understood as a tendency towards equilibrium, key statisticalist criticisms are avoided. Further, in a modification of the (...) Newtonian-force analogy, it can be suggested that a better metaphor for natural selection is that of an emergent force, similar in nature to entropic forces: with magnitude and direction, but lacking a spatiotemporal origin or point of application. (shrink)

Origin of a dissipative structure in a chemical dynamic system: occurs under the following constraints: 1) Affinity must be high. (The system must be far from equilibrium.); 2) There must be an auto-catalytic process; 3) A process that reduces the concentration of the auto-catalyst must operate; 4) The relevant parameters (rate constants, etc.) must lie in a range corresponding to a limit cycle trajectory. That is, there must be closure of the network of reaction such that a state sufficiently (...) close to the prior condition is achieved at the corresponding part of each oscillation. If these constraints continue to be met interactions of the system with the rest of the world are quite different in the presence of the dissipative structure than they would be in the absence of that self-organized coherence. Closure of a network of relationships which gives rise to a dissipative structure is a 'unit-determining' feature. The effects of the structure as a whole are the resultants of the effects of the components, but the concentrations of the components at any instant are effects of the closure of the limit cycle. This is an influence on components arising from what those components constitute --- downward causation. (shrink)

This dissertation attempts to settle some challenging historiographic issues concerning the origin and development of the concept of economic equilibrium. Specifically, our research goal is to identify the philosophical and historical drivers of the mathematization of economic theory. To this end, we attempt to answer three fundamental research questions. First, why (and not how) has economics become a mathematical science? Second, what are the major methodological blunders that lie at the foundations of Modern General Equilibrium Theory? Third, is (...) the contemporary criticism of Modern General Equilibrium Theory meaningful and well-founded? In order, chapters 1-3 address the first question, chapters 4 and 5 address the second, whereas chapter 6 addresses the third question. Regarding the first question, we investigate the methodological relationships between Modern Physics, Modern Philosophy, and Walras’s Theory of General Equilibrium. Interestingly, our findings reveal that while the study of motion in Modern Physics relies upon a clear distinction between static and dynamic equilibrium, early mathematical economics borrows its methodology from Modern Physics but relies upon an Aristotelian conception of equilibrium. Furthermore, we identify exciting analogies between Kant’s philosophy and Walras’s Elements. Finally, we show that the so-called Walras Paradox also features another unexplored dimension. Namely, Walras’s work overall relies upon a bottom-up approach to mathematics. Yet Walras’s work includes problems that require a top-down approach to mathematics to be solved. Regarding the second question, we delve into the tight relationship between the History of Mathematics in the 19th Century, the Philosophy of Mathematics in the 20th Century, and the development of Modern General Equilibrium Theory in the 20th Century. Notably, we find that the top-down approach to mathematics provides economists with a reliable methodology to resolve the problems in Walras’s original work. Hence, the mathematization of General Equilibrium Theory in the 20th Century is a child of its time that carries the inapplicability of pure mathematics to real-world problems along with itself. Therefore, although the mathematization of General Equilibrium Theory is an unprecedented milestone in economic theory, the foundations of Modern General Equilibrium Theory inherit the methodological shortcomings of Contemporary Mathematics. That is why the Sonnenschein-Mantel-Debreu does not overtake the Aristotelian conception of equilibrium. Accordingly, we rebut the claim that Debreu and colleagues' mathematization of General Equilibrium Theory resolves the fundamental methodological shortcomings of Walras’s original work. Eventually, we use our answers to our first and second research questions to address the contemporary criticism of General Equilibrium Theory. On the one hand, we show that the latter criticism does not account for the fact that General Equilibrium Theory inherits the scientific realism and determinism of Modern Physics. In other words, we argue that the inability of General Equilibrium models to manage uncertainty effectively has nothing to do with its mathematization in the 20th Century. Instead, it results from the unexplored dimension of the Walras Paradox, which we uncover. On the other hand, we show that common accusations of inconsistency, incompleteness, and undecidability in General Equilibrium Theory are ill-founded. That is because other rigorous alternatives to axiomatization in economics are not paradox-free. On these grounds, we conclude that a much better option is to employ a topic-neutral language to provide rigorous presentations of contested concepts in economics. Particularly, we show that formal mereology offers a convenient methodological framework to resolve the disagreement between the Neoclassical and Institutionalist economists’ respective definitions of the concept of the market. In this way, we show that the latter concept is definable as a process. But, more importantly, we note that formal mereology also offers a convenient framework to reformulate other economic concepts concisely and rigorously. In this regard, we observe that formal mereology might provide a resolution for Hayek’s Problem because it would enable economists to define general equilibrium as a perduring socioeconomic process. -/- In case you want a copy of my dissertation, please email me. (shrink)

The purpose of this paper is to provide a detailed technical protocol analysis of chess masters' evaluative expertise, paying particular attention to the analysis of the structure of their memory process in evaluating foreseen possibilities in games of dynamic equilibrium. The paper has two purposes. First, to publish a results chapter from my DPhil thesis (in revised journal article form) attending to the measurement of foresight in chess masters' evaluation process, testing alternative theories of cognitive expertise in the domain (...) of chess; and second to provide a subset of the technical graphical analysis that corresponds to that measurement to preserve this protocol analysis for access in the academic domain for future studies of expert memory and foresight (e.g., Ericsson & Simon, 1993). The step-by-step protocol analysis consists of: (i) an introduction to foresight cognition as hypothesis testing, (ii) a theoretical review in the domain of chess masters' expertise according to the theoretical frameworks in that field purporting hypotheses relevant to chess masters' evaluative skill processes, and (iii) summary tables and non-parametric statistical analysis corroborating chunking theory frameworks of expert cognition (e.g., DeGroot, 1965; Newell & Simon, 1972; Gobet, 1998; Gobet et al., 2004), and refuting the alternative search-evaluation models (e.g., Holding & Reynolds, 1982). Moreover, the journal article espouses the preservation of the traditional protocol analysis method core to the field of expert cognition (DeGroot, 1969; Kotov, 1971). The full protocol analysis can be found in monograph form here on my SSRN profile in ‘The role of falsification in hypothesis testing’. It takes the form of a specialist population study (e.g., detailed case study work; Luria, 1987). Thus the outline consists of a short introduction, a theoretical methodological review discussing protocol analysis methods for specialist population studies in cognition (with particular attention to the preservation of protocol analysis methods for chess studies in cognition and expert memory/ with a fresh angle on the foresight process), and the full set of protocol analyses with corresponding problem behaviour graphs. A subset of the main results has been published elsewhere (e.g., Cowley & Byrne, 2004; Cowley 2006), receiving scientific and scientific journalistic acclaim (e.g., Nature Online News 2004). (shrink)