I examine the history of the concept of spontaneity in philosophy and the social sciences, particularly as it relates to monetary phenomena. I then offer an argument for the general significance of spontaneity. The essay concludes that scholars across the humanities and social sciences, whatever their (disciplinary, political, ideological, etc.) persuasion, would be well-served to further develop the theory of spontaneity and its social effects.

The paper is an introduction to geometric algebra and geometric calculus for those with a knowledge of undergraduate mathematics. No knowledge of physics is required. The section Further Study lists many papers available on the web.

It is widely accepted that knowledge of certain of one’s own mental states is authoritative in being epistemically more secure than knowledge of the mental states of others, and theories of self-knowledge have largely appealed to one or the other of two sources to explain this special epistemic status. The first, ‘detectivist’, position, appeals to an inner perception-like basis, whereas the second, ‘constitutivist’, one, appeals to the view that the special security awarded to certain self-knowledge is a conceptual matter. I (...) argue that there is a fundamental class of cases of authoritative self-knowledge, ones in which subjects are consciously thinking about their current, conscious intentional states, that is best accounted for in terms of a theory that is, broadly speaking, introspectionist and detectivist. The position developed has an intuitive plausibility that has inspired many who work in the Cartesian tradition, and the potential to yield a single treatment of the basis of authoritative self-knowledge for both intentional states and sensation states. (shrink)

This chapter contains section titled: Externalism and Authoritative Self‐Knowledge The “Fully Cartesian” Conception Externalism and Authoritative Self‐Knowledge A Suggestion.

In this article, I outline a strategy for challenging J.L. Schellenberg’s hiddenness argument, and specifically the premise within the argument that asserts the existence of what Schellenberg calls nonresistant nonbelief. Drawing on some of the philosophical resources of skeptical theism, I show how this premise is based on a particular “noseeum assumption”—what I call Schellenberg’s Noseeum Assumption—that underwrites a particular “noseeum argument.” This assumption is that, regarding putative nonresistant nonbelievers, more likely than not we’d detect these nonbelievers’ resistance toward God (...) if there were any. I give reasons for thinking that it is not more reasonable to affirm than to refrain from affirming Schellenberg’s Noseeum Assumption, and so reason to think that the hiddenness argument is not a good argument for atheism. I also defend the strategy I outline against several objections. (shrink)

This chapter contains section titles: Introduction Section 1 Section 2 Conclusion.

For anyone approaching the Encheiridion of Epictetus for the first time, this book provides a comprehensive guide to understanding a complex philosophical text. Including a full translation and clear explanatory commentaries, Epictetus's 'Encheiridion' introduces readers to a hugely influential work of Stoic philosophy. Scott Aikin and William O. Stephens unravel the core themes of Stoic ethics found within this ancient handbook. Focusing on the core themes of self-control, seeing things as they are, living according to nature, owning one's roles (...) and fulfilling the responsibilities that those roles entail, the authors elucidate the extremely challenging ideas in Epictetus's brisk chapters. Divided into five distinct parts, this book provides readers with: -/- - A new translation of the Encheiridion by William O. Stephens. - A new introduction to ancient Stoicism, its system of concepts, and the ancient figures who shaped it. - A fresh treatment of the notorious and counter-intuitive 'Stoic paradoxes'. - An accessible overview of the origin and historical context of the Encheiridion. - Detailed commentaries on each chapter of the Encheiridion that clarify its recurring themes and highlight their interconnections. - Careful attention to the presentation of the arguments embedded in Epictetus's aphoristic style. - A thoughtful discussion of serious criticisms of Epictetus's Stoicism and replies to these objections. -/- Written with clarity and authority, Epictetus's 'Encheiridion' provides a foundation from which readers can understand this important text and engage with the fundamental questions of Stoic philosophy and ethics. This guide will aid teachers of Epictetus, students encountering Stoicism for the first time, and readers seeking a greater understanding of Stoic ethics. (shrink)

How did I raise my arm? The simple answer is that I raised it as a consequence of intending to raise it. A slightly more complicated response would mention the absence of any factors which would inhibit the execution of the intention- and a more complicated one still would specify the intention in terms of a goal (say, drinking a beer) which requires arm-raising as a means towards that end. Whatever the complications, the simple answer appears to be on the (...) right track. (shrink)

It is widely accepted that physicalism faces its most serious challenge when it comes to making room for the phenomenal character of psychological experience, its so-called what-it-is-like aspect. The challenge has surfaced repeatedly over the past two decades in a variety of forms. In a particularly striking one, Frank Jackson considers a situation in which Mary, a brilliant scientist who knows all the physical facts there are to know about psychological experience, has spent the whole of her life in a (...) black and white room. He asks, What will happen when Mary is released from her black and white room or is given a colour television monitor? Will she learn anything or not? It seems just obvious that she will learn something about the world and our visual experience of it. But then it is inescapable that her previous knowledge was incomplete. But she had all the physical information. (Jackson 1986: 130). (shrink)

One might think that if the majority of virtue signallers judge that a proposition is true, then there is significant evidence for the truth of that proposition. Given the Condorcet Jury Theorem, individual virtue signallers need not be very reliable for the majority judgment to be very likely to be correct. Thus, even people who are skeptical of the judgments of individual virtue signallers should think that if a majority of them judge that a proposition is true, then that provides (...) significant evidence that the proposition is true. We argue that this is mistaken. Various empirical studies converge on the following point: humans are very conformist in the contexts in which virtue signalling occurs. And stereotypical virtue signallers are even more conformist in such contexts. So we should be skeptical of the claim that virtue signallers are sufficiently independent for the Condorcet Jury Theorem to apply. We do not seek to decisively rule out the relevant application of the Condorcet Jury Theorem. But we do show that careful consideration of the available evidence should make us very skeptical of that application. Consequently, a defense of virtue signalling would need to engage with these findings and show that despite our strong tendencies for conformism, our judgements are sufficiently independent for the Condorcet Jury Theorem to apply. This suggests new directions for the debate about the epistemology of virtue signalling. (shrink)

An overview of what constitutes as lying and the epistemic and moral consequences lying incurs.

Our day-to-day experience of the world regularly brings us into contact with middlesized objects such as apples, dogs, and other human beings. These objects possess observable properties, properties that are available or accessible to the unaided senses, such as redness and roundness, as well as properties that are not so available, such as chemical ones. Both of these kinds of properties serve as valuable sources of information about our familiar middle-sized objects at least to the extent that they enable us (...) to understand the behaviours of those objects and their effects on each other and on us. I see the apple on the table before me, and in doing so I see its redness, its roundness, and so on. I do not see, but know that it has, a certain chemical constitution. The knowledge gained of the apple by means of both properties tells me something about the nature of that apple. In general, most, if not all, of the properties that objects in the observable world possess serve as the basis of our knowledge of such objects. But the subject-predicate form of much of our discourse and thought about objects suggests that substances are one kind of thing, properties another. We use subject terms such as names to identify objects, predicate terms to attribute properties to them. What, then, is it for an object to have a property? And what is the relation between an object and its properties? (shrink)

This research examines the most important historical, political, economic, social, cultural, and religious factors before, during, and after the reign of Communism in Czechoslovakia from 1918 to 2021 and their effect on the extreme increase in atheism and decrease in Christianity, particularly Roman Catholicism, in the present-day Czech Republic. It devotes special attention to the role of the Clandestine Catholic Church (Ecclesia Silentii) and the changing policies of the Holy See vis-à-vis this Church, examining these policies' impact on the continuing (...) decline of Roman Catholicism in the Czech Republic after the collapse of Communism. The article also deals with Pope Pius XII's Secret Mandates of 1948-1950, the Second Vatican Council, and the Holy See's Ostpolitik. Scholars, who previously relied only on the views of the Czechs, blame the unprecedented drop in Christianity, the near-total destruction of the Catholic Church, and the rise in atheism on the Czechoslovak communist government's four decades of totalitarianism. Although the increase in atheism and decrease in Christianity were substantial during the era of Communism from 1948 to 1989, our data indicate that the decline in Christianity, particularly the historically predominating Roman Catholicism, did not commence with the 1948 communist coup d’état but traces its origins to the breakdown of the Austro-Hungarian Empire after the conclusion of WWI and the establishment of Czechoslovakia on October 28, 1918. What's more, this research shows that the most significant and unprecedented steep deterioration of the Christian Faith, namely Roman Catholicism, did not occur during the era of Communism but only after the Czechoslovak communist government collapsed in 1989. This massive decay did not happen even during the most extraordinary communist persecution of the Catholic Church during the era of Stalinism in Czechoslovakia. This research further finds that the Holy See's ill-advised policies and systematic, sustained, and prevalent failures in leadership, guidance, and teachings are responsible for the near destruction of the Roman Catholic Church and especially the end destruction of the Clandestine Catholic Church (Ecclesia Silentii), in the Czech and Slovak Republics after the fall of Communism. These failures furthermore contributed to the Czech Republic, the historical lands of Bohemia and Moravia that once were in the center of Christendom, degenerating into the most atheist country in Europe and the world today. (shrink)

I give concise derivations of Price's equation and the criteria for kin and group selection, prove that kin and group selection are equivalent, and discuss the controversies about altruism.

Nanotechnology research is beginning to see widespread coverage in the media and popular science literatures, but discussions of hopes and fears about nanotechnology have already become polarised into utopian and dystopian visions. More moderate discussions focus on the near-term applications of nanotechnologies, and on potential benefits and harms. However, in exploring the social and ethical implications of nanotechnology, important lessons should be learned from experiences in other fields. In particular, studies of the ethical, legal, and social issues of genetics research (...) have successfully mapped out many of the issues that arise when new technologies are deployed. It is our contention that, for the most part, the ethical and social issues arising in nanomedicine are not altogether new, and thus do not require novel ethical principles or frameworks, nor a massive investment in ‘NELSI’ research. Instead, what is needed is support for the development of a culture of ethics amongst scientists and clinicians, basic scientific and medical knowledge for bioethicists, and a social competency for citizens to participate actively in debates about the implications of new technologies in general. (shrink)

I defend a new version of the non-identity theodicy. After presenting the theodicy, I reply to a series of objections. I then argue that my approach improves upon similar approaches in the literature.

Genetic testing in the workplace is a technology both full of promise and fraught with ethical peril. Though not yet common, it is likely to become increasingly so. We survey the key arguments in favour of such testing, along with the most significant ethical worries. We further propose a set of pragmatic criteria, which, if met, would make it permissible for employers to offer (but not to require) workplace genetic testing.

Entanglement has been called the most important new feature of the quantum world. It is expressed in the quantum formalism by the joint measurement formula. We prove the formula for projection valued observables from a plausible assumption, which for spacelike separated measurements is an expression of relativistic causality. The state reduction formula is simply a way to express the joint measurement formula after one measurement has been made, and its result known.

What is knowledge of one's own current, consciously entertained intentional states a form of inner awareness? If so, what form? In this paper I explore the prospects for a quasi-observational account of a certain class of cases where subjects appear to have self-knowledge, namely, the so-called cogito-like cases. In section one I provide a rationale for the claim that we need an epistemology of self-knowledge, and specifically, an epistemology of the cogito-like cases. In section two I argue that contentful properties (...) in such cases have two features in common with observational properties of objects. In section three, I develop a quasi-observational account of self-knowledge for the cogito-like cases by considering various accounts of the nature of observational properties and by applying them to these cases. I conclude by addressing some important objections to the account. (shrink)

This paper (i) gives necessary and sufficient conditions that clocks in an inertial lattice can be synchronized, (ii) shows that these conditions do not imply a universal light speed, and (iii) shows that the terrestrial redshift experiment provides evidence that clocks in a small inertial lattice in a gravitational field can be synchronized.

Economists associated with the Austrian School of Economics are known to deny the value of macroeconomics as descended from the work of John Maynard Keynes and, especially, his followers. Yet, Austrian economists regularly engage in a related scientific activity: theorizing about the causes and consequences of economic fluctuations, i.e., the business cycle. What explains the Austrians’ willingness to engage in theorizing about the business cycle while denying the scientific import of macroeconomics? The present paper argues that the methodological precepts of (...) the School, which have remained largely in place since Carl Menger first pronounced them at the start of the Methodenstreit, justify the kind of business-cycle theorizing that Austrians do and imply the limited scientific value of macroeconomics as descended from Keynes. (shrink)

Many recent discussions of self-consciousness and self-knowledge assume that there are only two kinds of accounts available to be taken on the relation between the so-called first-order (conscious) states and subjects' awareness or knowledge of them: a same-order, or reflexive view, on the one hand, or a higher-order one, on the other. I maintain that there is a third kind of view that is distinctively different from these two options. The view is important because it can accommodate and make intelligible (...) certain cases of authoritative self-knowledge that cannot easily be made intelligible, if at all, by these other two types of accounts. My aim in this paper is to defend this view against those who maintain that a same-order view is sufficient to account for authoritative self-knowledge. (shrink)

This manuscript consists of two parts, Part I. and Part II. Part I., written by the same author and titled "THE PERSECUTED CHURCH: THE CLANDESTINE CATHOLIC CHURCH (ECCLESIA SILENTII) IN CZECHOSLOVAKIA DURING COMMUNISM 1948 – 1991," was published in the January issue of the Occasional Papers on Religion in Eastern Europe (OPREE), ISSN: 2693-2148.2 It includes a brief historical overview and introduces the Clandestine Catholic Church (Ecclesia Silentii) in Czechoslovakia during Communism from 1948 to 1991. Part II. directly follows Part (...) I. and continues with the following sections: Results, Discussion, Conclusion, and References. Part II considers the collapse of the Czech Roman Catholic Church and the end destruction of the Clandestine Catholic Church by the Holy See, along with the process of secularization after the fall of communism in Czechoslovakia from 1991 to 2021. (shrink)

In general relativity, a spacetime and a gravitational field form an indivisible unit: no field, no spacetime. This is a lesson of Einstein's hole argument. We use a simple transformation in a Schwartzschild pacetime to illustrate this.

In an important and widely cited paper, Zerilli, Knott, Maclaurin, and Gavaghan (2019) argue that opaque AI decision makers are at least as transparent as human decision makers and therefore the concern that opaque AI is not sufficiently transparent is mistaken. I argue that the concern about opaque AI should not be understood as the concern that such AI fails to be transparent in a way that humans are transparent. Rather, the concern is that the way in which opaque AI (...) is opaque is very different than the way in which humans are opaque. What matters is the degree to which the opaque processes of a class of decision makers are stable, uniform, and safe. The degree to which such processes have these features in humans is higher than the degree to which such processes have these features in opaque AI. And therefore we should require AI to be more transparent than humans. (shrink)

For any essential property God has, there is an ability He does not have. He is unable to bring about any state of affairs in which He does not have that property. Such inabilities seem to preclude omnipotence. After making trouble for the standard responses to this problem, I offer my own solution: God is not omnipotent. This may seem like a significant loss for the theist. But I show that it is not. The theist may abandon the doctrine that (...) God is omnipotent without scaling back the extent of His power and without denying that He has all perfections. (shrink)

Religious fictionalism is the theory that it is morally and intellectually legitimate to affirm religious sentences and to engage in public and private religious practices, without believing the content of religious claims. This article discusses the main features of fictionalism, contrasts hermeneutic, and revolutionary kinds of fictionalism and explores possible historical and recent examples of religious fictionalism. Such examples are found in recent theories of faith, pragmatic approaches to religion, and mystical traditions in religious theology.

Maureen Donnelly has recently argued that directionalism, the view that relations have a direction, applying to their relata in an order, is unable to properly treat certain symmetric relations. She alleges that it must count the application of such a relation to an appropriate number of objects in a given order as distinct from its application to those objects in any other ordering of them. I reply by showing how the directionalist can link the application conditions of any fixed arity (...) relation, no matter its arity or symmetry, and its converse(s) in such a way that directionalism will yield the correct ways in which it can apply. I thus establish that directionalism possesses the same advantage Donnelly's own account of relations, relative positionalism, has over traditional positionalist accounts of relations, which do not properly treat symmetric relations. I then note some advantages that directionalism has over its closest competitors. This includes Donnelly's relative positionalism, since directionalism is not, like relative positionalism, committed to the involvement of relative properties in every irreducibly relational claim. I close by conceding that, as Donnelly notes, directionalism is committed to the primitive relation of order-sensitive relational application. But I don't find this notion as mysterious as Donnelly does. I conclude that, even if one construes this feature of directionalism as a drawback, the two views are at worst at a draw, other things being equal, since this drawback is mitigated by the advantage directionalism has over relative positionalism. (shrink)

Many philosophers, psychologists, and medical practitioners believe that killing is no worse than letting die on the basis of James Rachels's Bare-Difference Argument. I show that his argument is unsound. In particular, a premise of the argument is that his examples are as similar as is consistent with one being a case of killing and the other being a case of letting die. However, the subject who lets die has both the ability to kill and the ability to let die (...) while the subject who kills lacks the ability to let die. Modifying the latter example so that the killer has both abilities yields a pair of cases with morally different acts. The hypothesis that killing is worse than letting die is the best explanation of this difference. (shrink)

There is a wealth of evidence which indicates that arguments are not very efficient tools for changing minds. Against this skepticism, Novaes (2023) presents evidence that, given the right social context, arguments sometimes play a significant role in belief revision. However, drawing on Levy (2021), I argue that the evidence Novaes cites is compatible with the view that it is not arguments that change individual minds but instead belief outsourcing that occurs alongside the consideration of arguments.

I present a counterexample to Kirk-Giannini’s Dilemmatic Theory of gaslighting.

Studies of the Early Modern debate concerning absolute and relative space and motion often ignore the significance of the concept of true motion in this debate. Even philosophers who denied the existence of absolute space maintained that true motions could be distinguished from merely apparent ones. In this paper, I examine Berkeley's endorsement of this distinction and the problems it raises. First, Berkeley's endorsement raises a problem of consistency with his other philosophical commitments, namely his idealism. Second, Berkeley's endorsement raises (...) a problem of adequacy, namely whether Berkeley can provide an adequate account of what grounds the distinction between true and merely apparent motion. In this paper, I argue that sensitivity to Berkeley's distinction between what is true in the metaphysical, scientific, and vulgar domains can address both the consistency and the adequacy problems. I argue that Berkeley only accepts true motion in the scientific and vulgar domains, and not the metaphysical. There is thus no inconsistency between his endorsement of true motion in science and ordinary language, and his metaphysical idealism. Further, I suggest that sensitivity to these three domains shows that Berkeley possesses resources to give an adequate account of how true motions are discovered in natural science. (shrink)

Some commentators on Hermann Cohen have remarked on what they take to be a puzzle about the origins of his mature anti-psychologism. When Cohen was young, he studied a kind of psychology, the Völkerpsychologie of Moritz Lazarus and Heymann Steinthal, and wrote apparently psycholgistic accounts of knowledge almost up until the moment he first articulated his anti-psychologistic neo-Kantianism. To be sure, Cohen's mature anti psycholgism does constitute a rejection of certain central commitments of Völkerpsychologie. However, the relation between Völkerpsychologie and (...) Cohen's mature anti-psychologism is not one of straightforward opposition. This paper argues that Cohen had significantly less distance to travel than it appears to get from his early Völkerpsychologie to his mature anti-psychologism. In particular, this paper argues that Cohen always had an anti-psychologistic account of knowledge, even during the period when he was studying Völkerpsychologie, and further, that key features of his Völkerpsychologie partly shaped his mature account of knowledge. Finally, the paper identifies how Cohen’s views did change over the transition from his völkerpsychological period to his later anti-psychologism. It thus identifies what changes in Cohen’s views do need to be explained. (shrink)

Many nongovernmental forms of business regulation aim at reducing ethical violations in commerce. We argue that such nongovernmental ethics standards, while often laudable, raise their own ethical challenges. In particular, when such standards place burdens upon vulnerable market participants (often, though not always, SMEs), they do so without the backing of traditional legitimate political authority. We argue that this constitutes a structural analogy to wars of humanitarian intervention. Moreover, we show that, while some harms imposed by such standards are desirable, (...) others are best thought of as a form of collateral damage. We thus look at the well-developed literature on just war theory for inspiration and find that the principles of jus ad bellum and jus in bello contain many insights that can be fruitfully adapted to the case of nongovernmental standard-setting. Consequently, we propose the Ius ad Normam—a set of principles that should guide would-be standard-setters in assessing whether imposing those burdens is ethically justifiable in particular cases. We also discuss how powerful multinational businesses often act simultaneously as standard-takers and standard-setters and explore the normative implications of this dual role. (shrink)

Consider the claims that representations of physical laws are intersubjective, and that they ultimately provide the foundation for all other intersubjective knowledge. Those claims, as well as the deeper philosophical commitments that justify them, constitute rare points of agreement between the Marburg School neo-Kantians Paul Natorp and Ernst Cassirer and their positivist rival, Ernst Mach. This is surprising, since Natorp and Cassirer are both often at pains to distinguish their theories of natural scientific knowledge from positivist views like Mach’s, and (...) often from Mach’s views in particular. Thus the very fact of this agreement between the Marburg School neo-Kantians and their positivist stalking horse points to a deep current of ideas that runs beneath the whole of the post-Kantian intellectual context they shared. (shrink)

Strawsonian accounts of moral responsibility are widely associated with opposition to hard determinism. However, it is only an historical accident that these views are bundled together. I show that Strawson’s deepest commitments are perfectly consistent with, and even support, a new and improved form of hard determinism. The resulting view is not revisionist about our practices in the way that extant versions of hard determinism are. After setting out my view, I then turn to Latham and Tierney’s (2022) objection to (...) manipulation arguments. I make two points about their objection. First, while extant versions of hard determinism are vulnerable to Latham and Tierney’s objection, my version of hard determinism is not. Second, I argue that their objection raises important questions about what it is for two cases to be morally equivalent. I defend a principle about when cases are morally equivalent. My principle suggests a way to improve Latham and Tierny’s objection to manipulation arguments that are paired with extant variants of hard determinism. However, when paired with my version of hard determinism, manipulation arguments may accommodate Latham and Tierney’s objection. (shrink)

Some philosophers defend the view that epistemic agents believe by lending credence. Others defend the view that such agents lend credence by believing. It can strongly appear that the disagreement between them is notational, that nothing of substance turns on whether we are agents of one sort or the other. But that is demonstrably not so. Only one of these types of epistemic agent, at most, could manifest a human-like configuration of attitudes; and it turns out that not both types (...) of agent are possible. (shrink)

We apply the analysis that we have developed over the course of several publications on the significance of ignorance for decision-making, especially in surrogate (and, thus, in political) contexts, to political decision-making, such as it has been, during the COVID-19 pandemic (see Scheall 2019; Crutchfield and Scheall 2019; Scheall and Crutchfield 2020; Scheall 2020). Policy responses to the coronavirus constitute a case study of the problem of policymaker ignorance. We argue that political responses to the virus cannot be explained by (...) assuming that the interests of policymakers were at loggerheads with those of their constituents at the beginning of the crisis. In order to explain the responses of policymakers, it is necessary to recognize the effects of relevant ignorance on their incentives to pursue different policy objectives. We discuss the knowledge that policymakers required at the start of the pandemic in order to deliberately realize the goal of limiting overall human suffering and the spontaneous forces that could have facilitated the realization of this goal. The problem of policymaker ignorance implies that policymakers have not earnestly pursued the goal of limiting overall suffering due to the novel coronavirus, but have repeatedly resorted to the pursuit of relatively less epistemically burdensome goals. The problem of policymaker ignorance explains why policymakers have focused primarily on limiting one kind of suffering – physical suffering due to the virus – and have mostly ignored related kinds of suffering, i.e., the economic, sociological, psychological, and physical suffering caused by policies to limit physical suffering from the virus. The problem of policymaker ignorance also helps to explain why policymakers relied on the relatively blunt instrument of economic lockdown rather than more focused protection policies, and why they continue to resort to lockdowns, despite the emerging scientific evidence of their ineffectiveness at mitigating physical suffering due to the virus. (shrink)

The paper examines one of the considerations that determines the extent to which policymakers pursue the objec- tives demanded by constituents. The nature and extent of their ignorance serve to determine the incentives confronted by policymakers to pursue their constituents’ demands. The paper also considers several other consequences of policymaker ig- norance and its relationship to expert failure.

The ancient Stoics had an uneven track record with regard to women’s standing. On the one hand, they recognized women as fully capable of rationality and virtue. On the other hand, they continued to hold that women’s roles were in the home. These views are consistent, given Stoic value theory, but are unacceptable on liberal feminist grounds. Stoic value theory, given different emphasis on the ethical role of choice, is shown to be capable of satisfying the liberal feminist requirement that (...) autonomy must be respected. In turn, a model for Stoic feminism is proposed. (shrink)

There are two ways to characterize symmetric relations. One is intensional: necessarily, _Rxy_ iff _Ryx_. In some discussions of relations, however, what is important is whether or not a relation gives rise to the same completion of a given type (fact, state of affairs, or proposition) for each of its possible applications to some fixed relata. Kit Fine calls relations that do ‘strictly symmetric’. Is there is a difference between the notions of necessary and strict symmetry that would prevent them (...) from being used interchangeably in such discussions? I show that there is. While the notions coincide assuming an intensional account of relations and their completions, according to which relations/completions are identical if they are necessarily coinstantiated/equivalent, they come apart assuming a hyperintensional account, which individuates relations and completions more finely on the basis of relations’ real definitions. I establish this by identifying two definable relations, each of which is necessarily symmetric but nonetheless results in distinct facts when it applies to the same objects in opposite orders. In each case, I argue that these facts are distinct because they have different grounds. (shrink)