In the latter half of the twentieth century, philosophers of science have argued (implicitly and explicitly) that epistemically rational individuals might compose epistemically irrational groups and that, conversely, epistemically rational groups might be composed of epistemically irrational individuals. We call the conjunction of these two claims the Independence Thesis, as they together imply that methodological prescriptions for scientific communities and those for individual scientists might be logically independent of one another. We develop a formal model of scientific inquiry, define (...) four criteria for individual and group epistemic rationality, and then prove that the four definitions diverge, in the sense that individuals will be judged rational when groups are not and vice versa. We conclude by explaining implications of the inconsistency thesis for (i) descriptive history and sociology of science and (ii) normative prescriptions for scientific communities. (shrink)

In this paper, I consider particular attempts by E. J. Lowe and Michael Gorman at providing an independence criterion of substancehood and argue that the stipulative exclusion of non-particulars and proper parts (or constituents) from such accounts raises difficult issues for their proponents. The results of the present discussion seem to indicate that, at least for the case of composite entities, a unity criterion of substancehood might have at least as much, and perhaps more, to offer than an (...) class='Hi'>independence criterion and therefore ought to be explored further by neo-Aristotelians in search of a defensible notion of substancehood. I indicated briefly how such a unity criterion might be used by neo-Aristotelians to support the inclusion of hylomorphic compounds in the category of substance, given the traditional role of form as the principle of unity within the compound. (shrink)

Background independence begins life as an informal property that a physical theory might have, often glossed as 'doesn't posit a fixed spacetime background'. Interest in trying to offer a precise account of background independence has been sparked by the pronouncements of several theorists working on quantum gravity that background independence embodies in some sense an essential discovery of the General Theory of Relativity, and a feature we should strive to carry forward to future physical theories. This paper (...) has two goals. The first is to investigate what a world must be like in order to be truly described by a background independent theory given extant accounts of background independence. The second is to argue that there are no non-empirical reasons to be more confident in theories that satisfy extant accounts of background independence than in theories that don't. The paper concludes by drawing a general moral about a way in which focussing primarily on mathematical formulations of our physical theories can adversely affect debates in the metaphysics of physics. (shrink)

We often get evidence that bears on the reliability of some of our own first-order reasoning. The rational response to such “higher-order” evidence would seem to depend on a rational assessment of how reliable we can expect that reasoning to be, in light of the higher-order evidence. “Independence” principles are intended to constrain this reliability-assessment, so as to prevent question-begging reliance on the very reasoning being assessed. However, extant formulations of Independence principles tend to be vague or ambiguous, (...) and coming up with a tolerably precise formulation turns out to be tricky. This paper aims to make some progress toward developing a more precise Independence principle, and also to highlight some of the difficulties the project entails. The hope is to take a step toward understanding how rational belief is informed by evidence bearing on agents’ cognitive reliability. (shrink)

An important principle in the epistemology of disagreement is Independence, which states, “In evaluating the epistemic credentials of another’s expressed belief about P, in order to determine how (or whether) to modify my own belief about P, I should do so in a way that doesn’t rely on the reasoning behind my initial belief about P” (Christensen 2011, 1-2). I present a series of new counterexamples to both Independence and also a revised, more widely applicable, version of it. (...) I then formulate and endorse a third version of Independence that avoids those counterexamples. Lastly, I show how this third version of Independence reveals two new ways one may remain steadfast in the face of two real life disagreements: one about God’s existence and one about moral realism. (shrink)

Intuitively, a classical field theory is background-in- dependent if the structure required to make sense of its equations is itself subject to dynamical evolution, rather than being imposed ab initio. The aim of this paper is to provide an explication of this intuitive notion. Background-independence is not a not formal property of theories: the question whether a theory is background-independent depends upon how the theory is interpreted. Under the approach proposed here, a theory is fully background-independent relative to an (...) interpretation if each physical possibility corresponds to a distinct spacetime geometry; and it falls short of full background-independence to the extent that this condition fails. (shrink)

This paper introduces the axiom of Negative Dominance, stating that if a lottery f is strictly preferred to a lottery g, then some outcome in the support of f is strictly preferred to some outcome in the support of g. It is shown that if preferences are incomplete on a sufficiently rich domain, then this plausible axiom, which holds for complete preferences, is incompatible with an array of otherwise plausible axioms for choice under uncertainty. In particular, in this setting, Negative (...) Dominance conflicts with the standard Independence axiom. A novel theory, which includes Negative Dominance, and rejects Independence, is developed and shown to be consistent. (shrink)

The value of optimality modeling has long been a source of contention amongst population biologists. Here I present a view of the optimality approach as at once playing a crucial explanatory role and yet also depending on external sources of confirmation. Optimality models are not alone in facing this tension between their explanatory value and their dependence on other approaches; I suspect that the scenario is quite common in science. This investigation of the optimality approach thus serves as a case (...) study, on the basis of which I suggest that there is a widely felt tension in science between explanatory independence and broad epistemic interdependence, and that this tension influences scientific methodology. (shrink)

Mary Wollstonecraft argues that women must be independent citizens, but that they cannot be that unless they fulfill certain duties as mothers. This is problematic in a number of ways, as argued by Laura Brace in a 2000 article. However, I argue that if we understand Wollstonecraft's concept of independence in a republican, rather than a liberal context, and at the same time pay close attention to her discussion of motherhood, a feminist reading of Wollstonecraft is not only possible (...) but enriching. I will attempt to show, in particular, that the seeds of a feminist argument for co-parenting are to be found in the Vindication of the Rights of Woman. (shrink)

In cognitive science, the concept of dissociation has been central to the functional individuation and decomposition of cognitive systems. Setting aside debates about the legitimacy of inferring the existence of dissociable systems from ‘behavioural’ dissociation data, the main idea behind the dissociation approach is that two cognitive systems are dissociable, and thus viewed as distinct, if each can be damaged, or impaired, without affecting the other system’s functions. In this article, I propose a notion of functional independence that does (...) not require dissociability, and describe an approach to the functional decomposition and modelling of cognitive systems that complements the dissociation approach. I show that highly integrated cognitive and neurocognitive systems can be decomposed into non-dissociable but functionally independent components, and argue that this approach can provide a general account of cognitive specialization in terms of a stable structure–function relationship. 1 Introduction2 Functional Independence without Dissociability3 FI Systems and Cognitive Architecture4 FI Systems and Cognitive Specialization. (shrink)

Democratic decision-making is often defended on grounds of the ‘wisdom of crowds’: decisions are more likely to be correct if they are based on many independent opinions, so a typical argument in social epistemology. But what does it mean to have independent opinions? Opinions can be probabilistically dependent even if individuals form their opinion in causal isolation from each other. We distinguish four probabilistic notions of opinion independence. Which of them holds depends on how individuals are causally affected by (...) environmental factors such as commonly perceived evidence. In a general theorem, we identify causal conditions guaranteeing each kind of opinion independence. These results have implications for whether and how ‘wisdom of crowds’ arguments are possible, and how truth-conducive institutions can be designed. (shrink)

In epistemology and in ordinary life, we make many normative claims about beliefs. As with all normative claims, philosophical questions arise about what – if anything – underwrites these kinds of normative claims. On one view, epistemic instrumentalism, facts about what we (epistemically) ought to believe, or about what is an (epistemic, normative) reason to believe what, obtain at least partly in virtue of our goals (or aims, ends, intentions, desires, etc.). The converse view, anti-instrumentalism, denies this, and holds that (...) the facts about what we ought or have reasons to believe are independent of our goals. In this chapter, I present the case for anti-instrumentalism. I lay out a well-known problem for instrumentalism, which is to say exactly what goal (or goals) grounds our epistemic reasons. For each possible answer, the view seems to generate problematic results. I consider some ways of trying to make the instrumentalist view more sophisticated to solve the problem and reject them. I then note a further problem for instrumentalism that applies regardless of what goal the instrumentalist says grounds our epistemic reasons. Finally, I sketch my preferred positive anti-instrumentalist view and argue that it is more theoretically virtuous than instrumentalism in several respects. (shrink)

Two recent and influential papers, van Rooij 2007 and Lassiter 2012, propose solutions to the proviso problem that make central use of related notions of independence—qualitative in the first case, probabilistic in the second. We argue here that, if these solutions are to work, they must incorporate an implicit assumption about presupposition accommodation, namely that accommodation does not interfere with existing qualitative or probabilistic independencies. We show, however, that this assumption is implausible, as updating beliefs with conditional information does (...) not in general preserve independencies. We conclude that the approach taken by van Rooij and Lassiter does not succeed in resolving the proviso problem. (shrink)

Philosophers often claim that humility is a dependent virtue: a virtue that depends on another virtue for its value. I consider three views about this relation: Specific Dependence, Unspecific Dependence, and Fittingness. I argue that, since humility cannot uniquely depend on another virtue, and since this uniqueness is desirable, we should reject Specific and Unspecific Dependence. I defend a Fittingness view, according to which the humble person possesses some objectively good quality fitting for humility. I show beyond Slote’s original characterization (...) of the dependence relation that, even if humility’s value depends on having objectively good qualities, humility itself can be one such quality. So, humility can depend on itself. I call this view Bootstrapped Fittingness. (shrink)

Orthodox semantics for natural language modals give rise to two puzzles for their interactions with disjunction: Ross’s puzzle and the puzzle of free choice permission. It is widely assumed that each puzzle can be explained in terms of the licensing of ‘Diversity’ inferences: from the truth of a possibility or necessity modal with an embedded disjunction, hearers infer that each disjunct is compatible with the relevant set of worlds. I argue that Diversity inferences are too weak to explain the full (...) range of data. Instead, I argue, modals with embedded disjunctions license ‘Independence’ inferences: from the truth of a modal with an embedded disjunction, hearers infer that each disjunct is an independent alternative among the relevant set of worlds. I then develop a bilateral inquisitive semantics for modals that predicts the validity of these Independence inferences. My account vindicates common intuitions about both Ross’s puzzle and the puzzle of free choice permission, and explains the full range of data. (shrink)

We introduce an independence notion for choice functions, which we call ‘epistemic independence’ following the work by De Cooman et al. [17] for lower previsions, and study it in a multivariate setting. This work is a continuation of earlier work of one of the authors [29], and our results build on the characterization of choice functions in terms of sets of binary preferences recently established by De Bock and De Cooman [11]. We obtain the many-to-one independent natural extension (...) in this framework. Given the generality of choice functions, our expression for the independent natural extension is the most general one we are aware of, and we show how it implies the independent natural extension for sets of desirable gambles, and therefore also for less expressive imprecise-probabilistic models. Once this is in place, we compare this concept of epistemic independence to another independence concept for choice functions proposed by Seidenfeld [28], which De Bock and De Cooman [2] have called S-independence. We show that neither is more general than the other. (shrink)

In spite of its everyday connotations, the term independence as republicans understand it is not a celebration of individualism or self-reliance but embodies an acknowledgement of the importance of personal and social relationships in people’s lives. It reflects our connectedness rather than separateness and is in this regard a relational ideal. Properly understood, independence is a useful concept in addressing a fundamental problem in social philosophy that has preoccupied theorists of relational autonomy, namely how to reconcile the idea (...) of individual human agency with the inevitable and necessary influence of other people, both directly and indirectly. I derive my account from the work of Mary Wollstonecraft and Catharine Macaulay, whose contributions have remained largely overlooked by current republican theorists. I have three purposes in this chapter. First, I set out the relational character of independence. Secondly, I outline a republican approach to the problem of structural social threats to agency. Finally, I hope to establish the basis for a fruitful dialogue between republicans and relational autonomy theorists on the requirements and dynamics of individual agency and freedom in oppressive social situations. I identify three distinctive features of the internal logic of freedom as independence that give it a relational character: it always locates the person within a community; there is a mediating role played by the notion of arbitrariness in connecting individual and collective perspectives; a causal relationship exists linking each person’s freedom as independence such that that the dependence of one class of persons jeopardizes the independence of the whole community. (shrink)

We articulate John Dewey’s “independent factors” approach to moral philosophy and then adapt and extend this approach to address contemporary debate concerning the nature and sources of epistemic normativity. We identify three factors (agent reliability, synchronic rationality, and diachronic rationality) as each making a permanent contribution to epistemic value. Critical of debates that stem from the reductionistic ambitions of epistemological systems that privilege of one or another of these three factors, we advocate an axiological pluralism that acknowledges each factor as (...) an independent “spring” of epistemic value within responsible inquiry. (shrink)

In a recent paper in this Journal San Pedro I formulated a conjecture relating Measurement Independence and Parameter Independence, in the context of common cause explanations of EPR correlations. My conjecture suggested that a violation of Measurement Independence would entail a violation of Parameter Independence as well. Leszek Wroński has shown that conjecture to be false. In this note, I review Wroński’s arguments and agree with him on the fate of the conjecture. I argue that what (...) is interesting about the conjecture, however, is not whether it is true or false in itself, but the reasons for the actual verdict, and their implications regarding locality. (shrink)

There have been many attempts to determine what makes a natural kind real, chief among them is the criterion according to which natural kinds must be mind-independent. But it is difficult to specify this criterion: many supposed natural kinds have an element of mind-dependence. I will argue that the mind-independence criterion is nevertheless a good one, if correctly understood: the mind-independence criterion concerns the unification principles for natural kinds. Unification principles determine how natural kinds unify their properties, and (...) only those natural kinds that have a mind-independent unification principle should be considered real. (shrink)

We investigate epistemic independence for choice functions in a multivariate setting. This work is a continuation of earlier work of one of the authors [23], and our results build on the characterization of choice functions in terms of sets of binary preferences recently established by De Bock and De Cooman [7]. We obtain the independent natural extension in this framework. Given the generality of choice functions, our expression for the independent natural extension is the most general one we are (...) aware of, and we show how it implies the independent natural extension for sets of desirable gambles, and therefore also for less informative imprecise-probabilistic models. Once this is in place, we compare this concept of epistemic independence to another independence concept for choice functions proposed by Seidenfeld [22], which De Bock and De Cooman [1] have called S-independence. We show that neither is more general than the other. (shrink)

The paper takes up a traditional view that has also been a part of some recent analytic metaphysics, namely, the view that substance is to be understood in terms of independence. Taking as my point of departure some recent remarks by Kit Fine, I propose reviving the Aristotelian-scholastic idea that the sense in which substances are independent is that they are non-inherent, and I do so by developing a broad notion of inherence that is more usable in the context (...) of contemporary analytic metaphysics than the traditional notion is. I end by showing how non-inherence, while necessary for being a substance, cannot be taken as sufficient without some qualifying remarks. (shrink)

Australasian Journal of Philosophy, Volume 92, Issue 2, Page 365-377, June 2014.

Bilateralism is a theory of meaning according to which assertion and denial are independent speech acts. Bilateralism also proposes two coordination principles for assertion and denial. I argue that if assertion and denial are independent speech acts, they cannot be coordinated by the bilateralist principles.

Much of the literature on the relationship between belief and credence has focused on the reduction question: that is, whether either belief or credence reduces to the other. This debate, while important, only scratches the surface of the belief-credence connection. Even on the anti-reductive dualist view, belief and credence could still be very tightly connected. Here, I explore questions about the belief-credence connection that go beyond reduction. This paper is dedicated to what I call the independence question: just how (...) independent are belief and credence? I look at this question from two angles: a descriptive one (as a psychological matter, how much can belief and credence come apart?) and a normative one (for a rational person, how closely connected are belief and credence?) Ultimately, I suggest that the two attitudes are more independent than one might think. (shrink)

Is a phenomenal pain a conscious primitive or composed of more primitive phenomenal states? Are pain experiences necessarily or only contingently unpleasant? Here, I sketch how to answer such questions concerning intra-phenomenal metaphysics using the example of pain and unpleasantness. Arguments for a symmetrical metaphysical independence of phenomenal pain and unpleasant affect are presented, rejecting a composite view like the IASP definition and dimensional views. The motivating intuition of these views is explained by common binding mechanisms in consciousness and (...) characterized as fallacious if generalized. There are, however, underlying commonalities between pain perception and unpleasant affect, e.g. formal content or evolutionary ancestry. (shrink)

There is a substantial class of collective decision problems whose successful solution requires interdependence among decision makers at the agenda-setting stage and independence at the stage of choice. We define this class of problems and describe and apply a search-and-decision mechanism theoretically modeled in the context of honeybees and identified in earlier empirical work in biology. The honeybees’ mechanism has useful implications for mechanism design in human institutions, including courts, legislatures, executive appointments, research and development in firms, and basic (...) research in the sciences. Our paper offers a fresh perspective on the idea of “biomimicry” in institutional design and raises the possibility of comparative institutional analysis across species. (shrink)

We provide conditions under which an incomplete strongly independent preorder on a convex set X can be represented by a set of mixture preserving real-valued functions. We allow X to be infi nite dimensional. The main continuity condition we focus on is mixture continuity. This is sufficient for such a representation provided X has countable dimension or satisfi es a condition that we call Polarization.

Intentionality is customarily characterised as the mind’s direction upon its objects. This characterisation allows for a number of different conceptions of intentionality, depending on what we believe about the nature of the objects or the nature of the direction. Different conceptions of intentionality may result in classifying sensory experience as intentional and nonintentional in different ways. In the first part of this paper, I present a certain view or variety of intentionality which is based on the idea that the intentional (...) object of a sensory experience must be Independent; that is, an intentional object must be such that its existence doesn’t depend on being experienced (except in some very special cases). This means, for example, that sense-data understood as mind-dependent objects are not intentional objects, because their existence depends on the occurrence of an experience. In the second part of the paper, I will sketch a view of how sensory experiences can acquire an Independent object. (shrink)

Discussions of political obligation and political authority have long focused on the idea that the commands of genuine authorities constitute content-independent reasons. Despite its centrality in these debates, the notion of content-independence is unclear and controversial, with some claiming that it is incoherent, useless, or increasingly irrelevant. I clarify content-independence by focusing on how reasons can depend on features of their source or container. I then solve the long-standing puzzle of whether the fact that laws can constitute content-independent (...) reasons is consistent with the fact that some laws must fail to bind due to their egregiously unjust content. Finally I defend my understanding of content-independence against challenges and show why it retains a place of special importance for questions about the law and political obligation. Content-independence highlights that it is some feature of the law or law-making process in general that is supposed to generate moral obligations for citizens, not the merits of particular laws. (shrink)

Robustness arguments hold that hypotheses are more likely to be true when they are confirmed by diverse kinds of evidence. Robustness arguments require the confirming evidence to be independent. We identify two kinds of independence appealed to in robustness arguments: ontic independence —when the multiple lines of evidence depend on different materials, assumptions, or theories—and probabilistic independence. Many assume that OI is sufficient for a robustness argument to be warranted. However, we argue that, as typically construed, OI (...) is not a sufficient independence condition for warranting robustness arguments. We show that OI evidence can collectively confirm a hypothesis to a lower degree than individual lines of evidence, contrary to the standard assumption undergirding usual robustness arguments. We employ Bayesian networks to represent the ideal empirical scenario for a robustness argument and a variety of ways in which empirical scenarios can fall short of this ideal. (shrink)

Much of the discussion of set-theoretic independence, and whether or not we could legitimately expand our foundational theory, concerns how we could possibly come to know the truth value of independent sentences. This paper pursues a slightly different tack, examining how we are ignorant of issues surrounding their truth. We argue that a study of how we are ignorant reveals a need for an understanding of set-theoretic explanation and motivates a pluralism concerning the adoption of foundational theory.

In the face of an impossibility result, some assumption must be relaxed. The Mere Addition Paradox is an impossibility result in population ethics. Here, I explore substantially weakening the decision-theoretic assumptions involved. The central finding is that the Mere Addition Paradox persists even in the general framework of choice functions when we assume Path Independence as a minimal decision-theoretic constraint. Choice functions can be thought of either as generalizing the standard axiological assumption of a binary “betterness” relation, or as (...) providing a general framework for a normative (rather than axiological) theory of population ethics. Path Independence, a weaker assumption than typically (implicitly) made in population ethics, expresses the idea that, in making a choice from a set of alternatives, the order in which options are assessed or considered is ethically arbitrary and should not affect the final choice. Since the result establishes a conflict between the relevant ethical principles and even very weak decision-theoretic principles, we have more reason to doubt the ethical principles. (shrink)

I argue that if minds supervene on the intrinsic physical properties of things like brains, then typical human brains host many minds at once. Support comes from science-nonfiction realities that, unlike split-brain cases, have received little direct attention from philosophers. One of these realities is that some patients are functioning (albeit impaired) and phenomenally conscious by all medical and commonsense accounts despite the fact that they have undergone a hemispherectomy: an entire brain hemisphere has been fully detached. Another is the (...) Wada test, in which a patient has each hemisphere anesthetized, one after the other, while the other hemisphere is awake and functioning—again, phenomenally conscious by any standard. I will argue that hemispherectomies, Wada tests, and related procedures each present cases in which the minds that exist after the detachment (or anesthetization) of a hemisphere are surviving minds which must be associated with the surviving (or un-anesthetized) hemisphere. I will argue that such surviving minds existed before the medical procedure, instantiated by the then-intact hemisphere that was due to survive the loss of its complementary hemisphere. If so, then the typical subject has at least three minds: a “left hemisphere mind”, a “right hemisphere mind”, and a “whole brain mind”. But the argument generalizes to cases in which smaller portions of the brain are lost, yielding a great number of additional minds, some overlapping. Some important ethical implications are raised and briefly examined. (shrink)

Rawls in his later philosophy claims that it is sufficient to accept political conception as true or right, depending on what one's worldview allows, on the basis of whatever reasons one can muster, given one's worldview (doctrine). What political liberalism is interested in is a practical agreement on the political conception and not in our reasons for accepting it. There are deep issues (regarding deep values, purpose of life, metaphysics etc.) which cannot be resolved through invoking common reasons (this is (...) the fact of free reason itself), and trying to resolve them would involve us in interminable debates and would hamper the practical task of agreement on the political conception. Given the absolute necessity of a political society which is stable and enduring, it is thus wise to avoid these issues in founding a political society and choosing its basic principles - this is the pragmatic part of Rawls's position. In this paper I argue that this strategy leads Rawls into a paradox: (i) although the intention is to stay independent of comprehensive doctrines, the political conception is in fact totally (and precariously) dependent on comprehensive doctrines (not just on one doctrine but on each and every major doctrine in society). It is dependent on them: for its conceptualisation as an independent idea, for its justification, for the check of its reasonability in relation to the external world, for the formation of identities and value inculcation and hence for the formation of its model citizen; (ii) the very search for independence makes the political conception more dependent on comprehensive doctrines, and by extension makes it potentially more prone to intervention in and tampering with comprehensive doctrines (it is enough to show that it is a strong conceptual possibility to cast doubt on the whole strategy). Thus, for example, the political conception relies on the hope that “firmly held convictions gradually change” and that it would “in fact . . . have the capacity to shape those doctrines toward itself”. The purpose of the Rawlsian conjecture is to give these “hopes” a concrete, practical form by giving advice to proponents of the comprehensive doctrine on how they can do all this and “try to show them that, despite what they might think, they can still endorse a reasonable political conception”. I further argue that this paradox can be overcome by making the core of political liberalism more flexible. (shrink)

Self-employment merits protection and promotion, we often hear, because it confers independence from a boss. But what, if anything, is wrong with having a boss? On one of the two views that this chapter inspects, being under the power of a boss is objectionable as such, no matter how suitably checked this power may be, for it undermines workers’ agency. On a second view, which republican theorists favor, what is objectionable is subjection not to the power of a boss (...) as such but to their arbitrary power. The first view is unconvincing, I argue, as it entails (implausibly) that being under the power of others in realms like the family or the state is likewise objectionable as such. And although the second view yields compelling reasons for self-employment, it only does so when employers’ power is not suitably checked. When it is, such reasons are more easily outweighed by competing considerations, like those stemming from the further forms of dependence—on suppliers and purchasers—that self-employment may prompt. (shrink)

The falsity of moral claims is commonly deduced from two tenets: that they presuppose the existence of objective values and that these values don’t exist. Hence, the error theory concludes, moral claims are false. In this article, I put pressure on the image of human morality that is presupposed in moving from the non-existence of objective values to the falsity of moral claims. I argue that, while, understood in a certain way, the two premises of the error theory are correct, (...) this does not render moral discourse false, because moral objectivity is disanalogous to objectivity in empirical sciences and as such need not be characterized in terms of mind-independency. Using Dewey, I illuminate the possibility of accommodating the guiding intuitions of the error theory in a first-order account of morality. (shrink)

Much recent philosophical work on social freedom focuses on whether freedom should be understood as non-interference, in the liberal tradition associated with Isaiah Berlin, or as non-domination, in the republican tradition revived by Philip Pettit and Quentin Skinner. We defend a conception of freedom that lies between these two alternatives: freedom as independence. Like republican freedom, it demands the robust absence of relevant constraints on action. Unlike republican, and like liberal freedom, it is not moralized. We show that freedom (...) as independence retains the virtues of its liberal and republican counterparts while shedding their vices. Our aim is to put this conception of freedom more firmly on the map and to offer a novel perspective on the logical space in which different conceptions of freedom are located. (shrink)

This paper considers non-standard analysis and a recently introduced computational methodology based on the notion of ①. The latter approach was developed with the intention to allow one to work with infinities and infinitesimals numerically in a unique computational framework and in all the situations requiring these notions. Non-standard analysis is a classical purely symbolic technique that works with ultrafilters, external and internal sets, standard and non-standard numbers, etc. In its turn, the ①-based methodology does not use any of these (...) notions and proposes a more physical treatment of mathematical objects separating the objects from tools used to study them. It both offers a possibility to create new numerical methods using infinities and infinitesimals in floating-point computations and allows one to study certain mathematical objects dealing with infinity more accurately than it is done traditionally. In these notes, we explain that even though both methodologies deal with infinities and infinitesimals, they are independent and represent two different philosophies of Mathematics that are not in a conflict. It is proved that texts :539–555, 2017; Gutman and Kutateladze in Sib Math J 49:835–841, 2008; Kutateladze in J Appl Ind Math 5:73–75, 2011) asserting that the ①-based methodology is a part of non-standard analysis unfortunately contain several logical fallacies. Their attempt to show that the ①-based methodology can be formalized within non-standard analysis is similar to trying to show that constructivism can be reduced to the traditional Mathematics. (shrink)

A central feature of ordinary moral thought is that moral judgment is mind-independent in the following sense: judging something to be morally wrong does not thereby make it morally wrong. To deny this would be to accept a form of subjectivism. Neil Sinclair (2008) makes a novel attempt to show how expressivism is simultaneously committed to (1) an understanding of moral judgments as expressions of attitudes and (2) the rejection of subjectivism. In this paper, I discuss Sinclair’s defense of anti-subjectivist (...) moral mind-independence on behalf of the expressivist, and I argue that the account does not fully succeed. An examination of why it does not is instructive, and it reveals a fundamental dilemma for the expressivist. I offer a suggestion for how the expressivist might respond to the dilemma and so uphold Sinclair’s defense. (shrink)

Can one refute Berkeleyan phenomenalism by arguing that sensory objects seem mind-independent, and that, according to Berkeley, experience is to be taken at face value? Relying on Mackie’s recent discussion of the issue, I argue, first, that phenomenalism cannot be straightforwardly refuted by relying on perceptual or bodily experience of mind-independence together with the truthfulness of experience. However, I maintain, second that phenomenalism can be indirectly refuted by appealing to the bodily experience of resistance. Such experience presents us with (...) the causal activity of the resisting physical object. If experience is truthful, as the phenomenalist has it, physical objects are causally active. But then their effects no longer depend on our perceiving them, on pain of overdetermination. (shrink)

Metaethical expressivism faces the perennial objection that its commitment to non‐cognitivism about moral judgment renders the view revisionary of our ordinary moral thought. The standard response to this objection is to say that since the expressivist's theoretical commitments about the nature of moral judgment are independent of normative ethics, the view cannot be revisionary of normative ethics. This essay seeks to evaluate the standard response by exploring several senses of independence that expressivism might enjoy from normative ethics. I develop (...) a taxonomy on which, at least by the expressivist's own lights, normative ethics is not dependent on non‐cognitivism about moral judgment in a way that might render that claim itself normative ethical. The argument will require us to formulate a theory of moral subject matter according to the expressivist, a matter of independent interest. Although this discussion will essentially vindicate the standard response to the perennial objection, it will also highlight a major limitation thereof. This is that even for the expressivist, the taxonomic independence of non‐cognitivism about moral judgment from normative ethics does not guarantee its moral independence from normative ethics; that is, showing that non‐cognitivism about moral judgment is not a moral claim is not itself to show that it is not a morally relevant claim. I conclude by arguing that the question of moral dependence, usually discussed under the heading of objectivity, is ultimately first‐order moral rather than taxonomic, and so can only be resolved on first‐order moral grounds. (shrink)

The independence problems for functionalism stem from the worry that if functional properties are defined in terms of their causes and effects then such functional properties seem to be too intimately connected to these purported causes and effects. I distinguish three different ways the independence problems can be filled out – in terms of necessary connections, analytic connections and vacuous explanations. I argue that none of these present serious problems. Instead, they bring out some important and over-looked features (...) of functionalism. (shrink)

One of the distinctive features of the obligation to obey the law is its content-independence. We ought to do what the law commands because the law commands it, and not because of the law's content—i.e., the independent merits of the actions it prescribes. Despite its popularity, the notion of content-independence is marked by ambiguity. In this paper, I first clarify what content-independence is. I then develop a simple test—the “content-independence test”—which allows us to establish whether any (...) candidate justification of the obligation to obey the law delivers genuine content-independence. I apply this test to prominent such justifications and conclude that several of them, surprisingly, fail it. (shrink)

I shall defend the view that the experience of resistance gives us a direct phenomenal access to the mind-independence of perceptual objects. In the first part, I address an objection against the very possibility of experiencing mind-independence. The possibility of an experience of mind-independence being secured, I argue in the second part that the experience of resistance is the kind of experience by which we access mind-independence.

A new Evidence Test is applied to the problem of testing whether two Poisson random variables are dependent. The dependence structure is that of Holgate’s bivariate distribution. These bivariate distribution depends on three parameters, 0 < theta_1, theta_2 < infty, and 0 < theta_3 < min(theta_1, theta_2). The Evidence Test was originally developed as a Bayesian test, but in the present paper it is compared to the best known test of the hypothesis of independence in a frequentist framework. It (...) is shown that the Evidence Test is considerably more powerful when the correlation is not too close to zero, even for small samples. (shrink)