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)

This article intends to briefly discuss the relevant knowledge and experience of cognitive science research, and also to seek advice from colleagues in the academic circle and all scholars who are concerned about the development of cognitive science.

This paper puts forward the idea of five levels of human cognition: neural cognition, psychological cognition, linguistic cognition, thinking cognition and cultural cognition. It distinguishes the differences between low-order cognition and high-order cognition. Human cognition, that is, high-order cognition, is based on language and characterized by thinking and culture. The five levels of human cognition are divided according to the scientific standard, which means divided according to the level of cognitive process in human mind. This kind of division is the (...) basis of scientific research, too. The cognition of five levels determines the development of cognitive science, and their cross connection determines the development of more interdisciplinary subjects. This paper discusses in detail the present situation and achievements of research on the cognition of five levels, which helps us see not only the relationship between all levels, but also the relations between scientific research on cognitive science and its discipline development. The classification of five levels has important theoretical significance and practical value. (shrink)

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

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)

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)

The last two decades have seen a welcome proliferation of the collection and dissemination of data on social progress, as well as considered public debates rethinking existing standards of measuring the progress of societies. These efforts are to be welcomed. However, they are only a nascent step on a longer road to the improved measurement of social progress. In this paper, I focus on the central role that gender should take in future efforts to measure progress in securing human rights, (...) with a particular focus on anti-poverty rights. I proceed in four parts. First, I argue that measurement of human rights achievements and human rights deficits is entailed by the recognition of human rights, and that adequate measurement of human rights must be genuinely gender-sensitive. Second, I argue that existing systems of information collection currently fail rights holders, especially women, by failing to adequately gather information on the degree to which their rights are secure. If my first two claims are correct, this failure represents a serious injustice, and in particular an injustice for women. Third, I make recommendations regarding changes to existing information collection that would generate gender-sensitive measures of anti-poverty rights. Fourth, I conclude by responding to various objections that have been raised regarding the rise of indicators to track human rights. (shrink)

European Journal of Philosophy, Volume 30, Issue 1, Page 148-168, March 2022.

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)

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.

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)

A plausible explanation of the wrongfulness of threatening, advanced most explicitly by Mitchell Berman, is that the wrongfulness of threatening derives from the wrongfulness of the act threatened. This essay argues that this explanation is inadequate. We can learn something important about the wrongfulness of threatening (with implications for thinking about coercion) by comparing credible threats to some other claims of impending harm. A credible bluff threat to do harm is likely to be more and differently wrongful than making intentionally (...) false warnings about other sources of harm. This essay surveys some examples to secure this point, shows that Berman's moralized account of their wrongfulness is wanting, and offers the outline of an approach better suited to explain the wrongfulness of threatening.1. (shrink)

How should we conceive of policymakers for the purposes of political analysis? In particular, if we wish to explain and predict political decisions and their consequences, if we wish to ensure that political action is as effective as it can be, how should we think of policymakers? Should we think of them as they are commonly conceived in traditional political analysis, i.e., as uniquely knowledgeable and as either altruistic (i.e., as motivated to realize goals associated with their constituents’ interests) or (...) knavish (i.e., as motivated to realize goals associated with their own personal interests), or should we treat them as possibly ignorant with respect to their political tasks? -/- It is always an open question whether policymakers possess the knowledge required to realize some policy objective. It should never be assumed a priori that policymaker knowledge is adequate to the policy tasks with which policymakers are charged. Politicians need knowledge concerning the causes of social phenomena adequate to control events sufficiently well to ensure the success of their policies. No argument has ever been offered for the standard, if only implicit, assumption that policymakers, somehow automatically, possess this knowledge. In many contexts, there is no reason to believe that policymakers possess or can acquire this knowledge. Indeed, a bit of reflection reveals how unlikely it is that and how rare the circumstances must be in which policymakers meet this condition, which political philosophers, theorists, economists, and other political thinkers have traditionally assumed as a matter of course. -/- The main purpose of the book is to encourage a conversation among scholars and students of political inquiry (in philosophy and political theory, political science, economics and political economy) concerning the best way to conceive of policymakers for the purposes of such inquiry. -/- The book defends an alternative, more realistic, method of political analysis. The book argues against the false assumption that policymakers are epistemically privileged. The book presents and defends the alternative assumption that, with respect to the knowledge required to discharge their political tasks effectively, policymakers are at least as ignorant as constituents. -/- The book further argues that whether policymakers are altruistic or knavish is, in the first instance, a function of the nature and extent of their ignorance with regard to constituent-minded policy goals. Policymakers who possess the knowledge required to be effectively altruistic are more likely to be altruistic, other things the same, than policymakers who are ignorant of the knowledge that successful altruism requires. -/- This being said, my goal is more to leave readers thinking about and inclined to debate these profound issues than to prescribe a particular methodological conclusion (even less to advocate a particular political conclusion). The book is a heuristic for spurring further conversation. It makes of readers fellow interlocutors partnered with the characters (and the author!) of the dialogue. -/- The vehicle for this analysis is a conversation between four friends, philosophy graduate students, with different interests, different levels and kinds of experience, and different political preferences. The four friends consider how politicians should be conceived for the purposes of analyzing political decision-making and its consequences. -/- In his famous Dialogues concerning Natural Religion, David Hume concluded that the assumption of an all-knowing and all-powerful God was neither necessary nor sufficient to explain natural phenomena. Dialogues concerning Natural Politics does for social science what Hume did for natural science. Both books undermine the assumption that some epistemically privileged being – God in the case of natural phenomena and God-like politicians in the case of social phenomena – must be invoked to explain relevant phenomena. (shrink)

Kopeikin (forthcoming a, forthcoming b) and Rachels’ (1975) bare-difference cases elicit the intuition that killing is no different than letting die. Hill’s (2018) bare-difference cases elicit the intuition that killing is worse than letting die. At least one of the intuitions must be mistaken. This calls for an error theory. Hill has an error theory for the intuition elicited by the Kopeikin/Rachels’ cases. Kopeikin and Rachels have an error theory for the intuition elicited by Hill’s cases. A natural thought is (...) that we are at an impasse. There is no plausible basis for preferring one error theory to the other. I argue that this natural thought is mistaken. Not all error theories are equal. Preliminary considerations favor Hill’s error theory and disfavor the Kopeikin/Rachels error theory. But preliminary considerations are not decisive. The way forward in the bare-difference debate is not to evaluate intuitions. The intuitions are in. What is left to do now is evaluate the comparative status of the Hill and the Kopeikin/Rachels error theories. (shrink)

Scott Aikin, Tempest Henning Download PDF.

The two greatest mathematicians of the early twentieth century, David Hilbert and Henri Poincaré transformed the mathematics of their time. Their personal interaction was infrequent, until Hilbert invited Poincaré to deliver the first Wolfskehl Lectures in Göttingen in the spring of 1909. A correspondence ensued, which fixed the content and timing of the lecture series. A close reading of the exchange throws light on what Hilbert wanted Poincaré to talk about, and on what Poincaré wanted to present to Hilbert and (...) his colleagues. To answer the latter question, reference is made to the published version of Poincaré’s six talks, with a focus on two of them, concerning the propagation of Hertzian waves, and the theory of relativity. (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.

Recent accounts of coercion can be mapped onto two different axes: whether they focus on the situation of the coercee or the activities of the coercer; and whether or not they depend upon moral judgments in their analysis of coercion. Using this analysis, I suggest that almost no recent theories have seriously explored a non-moralized, coercer-focused approach to coercion. I offer some reasons to think that a theory in this underexplored quadrant offers some important advantages over theories confined to the (...) other quadrants. In particular I suggest that much of our interest in coercion depends on facts about the coercer, such as the sorts of powers coercers must possess to be able to coerce, and on the coercer's intention in using those powers to constrain or alter the coercee's activities. (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)

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)

Have you ever thought about how self-consciousness (self-awareness) originated in the universe? Understanding consciousness is one of the toughest "nuts to crack." In recent years, scientists and philosophers have attempted to provide an answer to this mystery. The reason for this is simply because it cannot be confined to solely a materialistic interpretation of the world. Some scientific materialists have suggested that consciousness is merely an illusion in order to insulate their worldviews. Yet, consciousness is the most fundamental thing we (...) know, even more so than the external world since we require it to perceive or think about anything. Without it, reasoning would be impossible. Dr. Scott Ventureyra, in this ground-breaking book, explores the idea of the Christian God and Creation in order to tackle this most difficult question. He demonstrates that theology has something significant to offer in reflection of how consciousness originated in the universe. He also makes a modest claim that the Christian conception of God and Creation provide a plausible account for the origin of self-consciousness. He integrates philosophy, theology, and science in an innovative way to embark on this exploration. (shrink)

The purpose of this paper is to argue for psychological egoism, i.e., the view that the ultimate motivation for all human action is the agent’s self-interest. Two principal opponents to psychological egoism are considered. These two views are shown to make human action inexplicable. Since the reason for putting forward these views is to explain human action, these views fail. If psychological egoism is the best explanation of human action, then humans will not differ as regards their motivations for their (...) actions. However, humans will differ as regards their knowledge of what is in fact in their self-interest. (shrink)

In this paper, I try to make sense of the possibility of several forms of voluntarily undertaken “sexual obligation.” The claim that there can be sexual obligations is liable to generate worries with respect to concerns for gender justice, sexual freedom, and autonomy, especially if such obligations arise in a context of unjust background conditions. This paper takes such concerns seriously but holds that, despite unjust background circumstances, some practices that give rise to ethical sexual obligations can actually ameliorate some (...) of the problems caused by such background conditions. Similarly, despite a surface appearance that sexual obligation and sexual autonomy are in tension, this need not be the case. By understanding how practices and conventions regulate the way such obligations can arise, this paper shows how supporting the possibility of sexual obligation can actually facilitate individual efforts to achieve sexual autonomy. (shrink)

Introduction to the Special Volume, “Method, Science and Mathematics: Neo-Kantianism and Analytic Philosophy,” edited by Scott Edgar and Lydia Patton. At its core, analytic philosophy concerns urgent questions about philosophy’s relation to the formal and empirical sciences, questions about philosophy’s relation to psychology and the social sciences, and ultimately questions about philosophy’s place in a broader cultural landscape. This picture of analytic philosophy shapes this collection’s focus on the history of the philosophy of mathematics, physics, and psychology. The following (...) essays uncover, reflect on, and exemplify modes of philosophy that are engaged with these allied disciplines. They make the case that, to the extent that analytic philosophers are still concerned with philosophy’s ties to these disciplines, we would do well to pay attention to neo-Kantian views on those ties. (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)

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)

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)

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)

Responds to two other chapters that describe what they identify as the "Socratic Method." Our claim is that the elenchos is not sufficiently methodical as to qualify as a "method.".

Homeopathic medications are used by millions, and hundreds of millions of dollars are spent on these remedies in the USA alone. In the UK, the NHS covers homeopathic treatments. Nonetheless, homeopathy is held in considerable disrepute by much of the medical and scientific community.Many proponents of homeopathy are well aware of these criticisms but remain unimpressed. The differences of opinion run deep, and the debate seems deadlocked. We aim to shed some light on this situation. We briefly recap some of (...) the major arguments on each side, but we try to go further by making explicit an underlying philosophical presupposition. In particular, we will claim that there is an important principle, which has ancient roots going back at least to Occam, some version of which constrains all empirical reasoning.We call this constraint the simplicity principle.We argue that this is not something specific to a scientific paradigm, but that, all of us, including proponents of homeopathy, are themselves deeply committed to the simplicity principle. However, once the simplicity principle is made explicit and applied to homeopathy, allegiance to homeopathy is clearly seen as irrational. The point is not merely the lack of clinical trials supporting homeopathy; rather, belief in the efficacy of homeopathy leaves a mountain of unexplained mysteries, and thereby flies in the face of the simplicity rule that guides the homeopaths’ own reasoning and arguments. If nothing else, we hope that defenders of homeopathy will gain a greater understanding of why critics are so deeply reluctant to accept the efficacy of homeopathic interventions – and that this reluctance is not mere stubbornness or artificial allegiance to western medicine. Finally, we also hope thereby to illustrate the usefulness of philosophy in unearthing presuppositions in seemingly deadlocked debates. (shrink)

Several prominent theorists have recently advocated reconceptualizing rape as “nonconsensual sex,” omitting the traditional “force” element of the crime. I argue that such a conceptualization fails to capture what is distinctively problematic about rape for women and why rape is pivotal in supporting women’s gender oppression. I argue that conceptualizing rape as coerced sex can replace both the force and nonconsent elements and thereby remedies some of the main difficulties with extant definitions, especially in recognizing “acquaintance” rape as such. I (...) argue that this approach helps explain its distinctive badness both for the individual victims and for women as a group. (shrink)

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)

I reply to criticisms from Duetz and Dentith, Basham, and Hewitt. I argue that the central disputes on this topic concern how ordinary people understand conspiracy theories and how to evaluate concrete conspiracy theories and conspiracy theorists.

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.

Judith Thomson’s “A Defense of Abortion” is one of the most widely taught papers in undergraduate philosophy, yet it is notoriously difficult to teach. Thomson uses simple terminology and imaginative thought experiments, but her philosophical moves are complex and sometimes difficult to explain to a class still mystified by the prospect of being kidnapped to save a critically ill violinist. My aim here is to identify four sources of difficulty that tend to arise when teaching this paper. In my experience, (...) these four sources of difficulty create significant problems for undergraduate students, yet each one is easy for instructors to underestimate. My objective is therefore to identify the problems, explain why they tend to occur and warn other instructors about their potential impact in the classroom. (shrink)

In Bertrand Russell's 1903 Principles of Mathematics, he offers an apparently devastating criticism of the neo-Kantian Hermann Cohen's Principle of the Infinitesimal Method and its History (PIM). Russell's criticism is motivated by his concern that Cohen's account of the foundations of calculus saddles mathematics with the paradoxes of the infinitesimal and continuum, and thus threatens the very idea of mathematical truth. This paper defends Cohen against that objection of Russell's, and argues that properly understood, Cohen's views of limits and infinitesimals (...) do not entail the paradoxes of the infinitesimal and continuum. Essential to that defense is an interpretation, developed in the paper, of Cohen's positions in the PIM as deeply rationalist. The interest in developing this interpretation is not just that it reveals how Cohen's views in the PIM avoid the paradoxes of the infinitesimal and continuum. It also reveals some of what is at stake, both historically and philosophically, in Russell's criticism of Cohen. (shrink)

In recent analytic literature on the Trinity we have seen a variety of "social" models of the Trinity. By contrast there are few "non-­‐social" models. One prominent "non-­‐social" view is Brian Leftow's "Latin Trinity." I argue that the name of Leftow's model is not sufficiently descriptive in light of diverse models within Latin speaking theology. Next, I develop a new "non-­‐social" model that is inspired by Richard of St. Victor's description of a person in conjunction with my appropriating insights about (...) indexicals from David Kaplan and John Perry. I point out that the copula in tokens of statements like, "I am the Father," is an ambiguous term and when used by a certain divine person a different proposition is affirmed. Central to this model is the claim that the copula bears the "is of identity" and the "is of numerical sameness without identity." Further, I show that Leftow's model employs two concepts of "person," a Lockean one and a Boethian one, and mine employs Richard of St. Victor's. I describe Leftow's model as a "hard non-­‐social" model and mine as a "soft non-­‐social" model that is nearer to some social models. I conclude that Leftow's model is not the lone candidate among "non-­‐social" models and that the variety of "non-­‐social" models has yet to be exhausted. (shrink)

In this paper, I will argue for a complex of three theses. First, that the problem of deep disagreement is an instance of the regress problem of justification. Second, that the problem of deep disagreement, as a regress problem, depends on a dialecticality requirement for arguments. Third, that the dialecticality requirement is plausible and defensible.