Of primary importance in formulating a response to the increasing prevalence and power of artificial intelligence (AI) applications in society are questions of ontology. Questions such as: What “are” these systems? How are they to be regarded? How does an algorithm come to be regarded as an agent? We discuss three factors which hinder discussion and obscure attempts to form a clear ontology of AI: (1) the various and evolving definitions of AI, (2) the tendency for pre-existing technologies to be (...) assimilated and regarded as “normal,” and (3) the tendency of human beings to anthropomorphize. This list is not intended as exhaustive, nor is it seen to preclude entirely a clear ontology, however, these challenges are a necessary set of topics for consideration. Each of these factors is seen to present a 'moving target' for discussion, which poses a challenge for both technical specialists and non-practitioners of AI systems development (e.g., philosophers and theologians) to speak meaningfully given that the corpus of AI structures and capabilities evolves at a rapid pace. Finally, we present avenues for moving forward, including opportunities for collaborative synthesis for scholars in philosophy and science. (shrink)

Visions of future applications of artificial intelligence tend to veer toward the naively optimistic or frighteningly dystopian, neglecting the numerous human factors necessarily involved in the design, deployment and oversight of such systems. The dream that AI systems may somehow replace the irregularities and struggles of human governance with unbiased efficiency is seen to be non-scientific and akin to a religious hope, whereas the current trajectory of AI development indicates that it will increasingly serve as a tool by which humans (...) exercise control over other humans. To facilitate the responsible development of AI systems for the public good, we discuss current conversations on the topics of transparency and accountability. (shrink)

Technology and Artificial Intelligence, both today and in the near future, are dominated by automated algorithms that combine optimization with models based on the human brain to learn, predict, and even influence the large-scale behavior of human users. Such applications can be understood to be outgrowths of historical trends in industry and academia, yet have far-reaching and even unintended consequences for social and political life around the world. Countries in different parts of the world take different regulatory views for the (...) role and protection of user data, and this will in turn determine the course of development for technology and AI in the near future. (shrink)

A review of Marcus du Sautoy's 2019 book, THE CREATIVITY CODE: Art and Innovation in the Age of AI, Cambridge, MA: Belknap (Harvard) Press, 2019. ISBN: 9780674988132.

In a recent article appearing in this journal, Theresa Scavenius compellingly argues that the traditional “rational-individualistic” conception of responsibility is ill-suited to accounting for the sense in which moral agents share in responsibility for both contributing to the causes and, proactively, working towards solutions for climate change. Lacking an effective moral framework through which to make sense of individual moral responsibility for climate change, many who have good intentions and the means to contribute to solutions for climate change tend to (...) dismiss or put off addressing the root causes. With this tendency arises the practical problem that climate change calls for urgent global collective action, both in terms of mitigation and adaptation, in order to prevent global temperature rise from exceeding 2C and avoid worst case climate scenarios. In this paper, I develop a phenomenological theory of ecological responsibility which addresses the conceptual problem Scavenius brings out and contributes to clarifying the sense in which moral agents share responsibility for both the causes and solutions for climate change. To develop this theory, I draw from, combine, and transform insights from the late work of Husserl on open horizons, transcendental intersubjectivity, and genetic phenomenology with breakthroughs from Emmanuel Levinas in articulating an original, asymmetrical theory of unlimited, diachronic responsibility. In drawing from Husserl, I show how what Levinas describes as the source of a demand for unlimited, diachronic responsibility can be phenomenologically reinterpreted in terms of a horizon of indeterminacy. I then show how horizons of indeterminacy arise in phenomenological descriptions of both human and nonhuman entities in such a way that discloses the demand for responsibility as a broad-ranging demand for unlimited, diachronic ecological responsibility. An important implication of this phenomenological theory of ecological responsibility is that it contributes to clarifying the sense in which individual moral agents share in responsibility for long range collective moral problems such as climate change. (shrink)

The authors of this collection fail to make clear the distinction between naturalistic and purely logical/methodological approaches to the philosophy of science. I also criticise Thomas Nickles's attempt to devise an explanatory method for discovery in science using programs that produce trial and error explorations of a domain, which he thinks replaces the need for a conjecture a refutation approach (cf. Popper and Campbell). Such programs embody undeclared conjectures in the way they are set up.

In Legality Scott Shapiro seeks to provide the motivation for the development of his own elaborate account of law by undertaking a critique of H.L.A. Hart's jurisprudential theory. Hart maintained that every legal system is underlain by a rule of recognition through which officials of the system identify the norms that belong to the system as laws. Shapiro argues that Hart's remarks on the rule of recognition are confused and that his model of lawis consequently untenable. Shapiro contends that (...) a new approach is vital for progress in the philosophy of law and, with his lengthy presentation of his own Planning Theory of Law, he aspires to pioneer just such an approach. Except for a very terse observation in the final main section, this article does not directly assess the strengths and shortcomings of Shapiro's piquant planning theory. Instead, I defend Hart against Shapiro's charges and thereby undermine the motivation for the development of the planning theory. (shrink)

Providing the most thorough coverage available in one volume, this comprehensive, broadly based collection offers a wide variety of selections in four major genres, and also includes a section on film. Each of the five sections contains a detailed critical introduction to each form, brief biographies of the authors, and a clear, concise editorial apparatus. Updated and revised throughout, the new Fourth Edition adds essays by Margaret Mead, Russell Baker, Joan Didion, Annie Dillard, and Alice Walker; fiction by Nathaniel Hawthorne, (...) Ursula K. LeGuin, Anton Chekov, James Joyce, Katherine Mansfield, F. Scott Fitzgerald, William Faulkner, Alice Walker, Louise Erdrich, Donald Barthelme, and James McPherson; poems by John Donne, Robert Browning, Walt Whitman, Edwin Arlington Robinson, e.e. cummings, Langston Hughes, W.H. Auden, Philip Levine, and Louise Gluck; and plays by August Wilson, Marsha Norman, Wendy Wasserstein, and Vaclav Havel. The chapter devoted to film examines the relation of film to literature and gives the complete screenplay for Citizen Kane plus close analysis of a scene from the film. With its innovative structure, comprehensive coverage, and insightful and stimulating presentation of all kinds of literature, this is an anthology readers will turn to again and again. (shrink)

This paper responds to material from Scott Soames’s wide ranging book The World Philosophy Made, material which I am actually tempted to overlook. Soames adds a detail to a criticism H.L.A. Hart makes of John Rawls, but I argue that Soames cannot consistently endorse this criticism, given his acceptance of trickle-down economics and his aspiration to cohere with a dominant strand of right-wing American philosophy.

This is a two-page handout covering the subtle differences between H.L.A. Hart and Scott Soames on whether the protection of basic liberties would be prioritized using the original position method.

In this chapter, I examine Lewis's ideas about ontological innocence, ontological commitment and double-counting, in his discussion of composition as identity in Parts of Classes. I attempt to understand these primarily as epistemic or methodological claims: how far can we get down this route without adopting radical metaphysical theses about composition as identity?

This article aims to read feminist new materialisms (Barad), together with ‘postulated’ linguistic or cultural primacy of Queer Theory (Butler), to show how both are engaged in similar critical-ethical endeavours. The central argument is that the criticism of Barad and new materialisms misses Butler’s materialistic insights due to a narrow interpretation of Butler's alleged social-constructivist position. There is, therefore, a specific focus on where they both make similar ethical appeals. Moreover, the article relies on Adorno's negative dialectic to highlight an (...) interpretation of Barad and Butler as being part of the same dialectical movement, in which materialism and idealism fluctuate in their mutual criticisms, thus continuing the procession towards 'new knowledge' and emancipation, or freedom, through their motions back and forth. (shrink)

Philosophers ask just whose expression, if anyone’s, we hear in lyric poetry. Walton provides a novel possibility: it’s the reader who “uses” the poem (just as a speech giver uses a speech) who makes the language expressive. But worries arise once we consider poems in particular social or political settings, those which require a strong self-other distinction, or those with expressions that should not be disassociated from the subjects whose experience they draw from. One way to meet this challenge is (...) to consider the poem expressive of a plural subject, which frees us from looking for a particular individual whose voice we hear in the work, whether she be fictional or actual. Some lyrics give voice to a group whose experience is attended to in the work. This may be done through a posited fictional speaker, but the ontology of the speaker is shown to be less important. Attending to a group whose concerns are voiced allows us to explain how poems can manage to address our-worldly concerns even when lacking actual persons whose expressions we encounter in the poems. (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)

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)

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)

Should we fear a future in which the already tricky world of academic publishing is increasingly crowded out by super-intelligent artificial general intelligence (AGI) systems writing papers on phenomenology and ethics? What are the chances that AGI advances to a stage where a human philosophy instructor is similarly removed from the equation? If Jobst Landgrebe and Barry Smith are correct, we have nothing to fear.

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)

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.

In 1947 Donald Cary Williams claimed in The Ground of Induction to have solved the Humean problem of induction, by means of an adaptation of reasoning first advanced by Bernoulli in 1713. Later on David Stove defended and improved upon Williams’ argument in The Rational- ity of Induction (1986). We call this proposed solution of induction the ‘Williams-Stove sampling thesis’. There has been no lack of objections raised to the sampling thesis, and it has not been widely accepted. In our (...) opinion, though, none of these objections has the slightest force, and, moreover, the sampling thesis is undoubtedly true. What we will argue in this paper is that one particular objection that has been raised on numerous occasions is misguided. This concerns the randomness of the sample on which the inductive extrapolation is based. (shrink)

Inductive arguments from evil claim that evil presents evidence against the existence of God. Skeptical theists hold that some such arguments from evil evince undue confidence in our familiarity with the sphere of possible goods and the entailments that obtain between that sphere and God’s permission of evil. I argue that the skeptical theist’s skepticism on this point is inconsistent with affirming the truth of a given theodicy. Since the skeptical theist’s skepticism is best understood dialogically, I’ll begin by sketching (...) the kind of argument against which the skeptical theist’s skepticism is pitched. I will then define ‘skeptical theistic skepticism’, offer a precise definition of ‘theodicy’, and proceed with my argument. (shrink)

Silence is a multifaceted concept which is not merely as an absence of sound but a presence with significant ontological, existential, and phenomenological implications. Through a thematic analysis, this paper deconstructs silence into various dimensions—its ontology, linguistic universality, and its function as cessation of speech, a form of listening, an act of kenosis, a form of ascesis, and a way of life. The study employs philosophical discourse and mathematical notation to delve into these aspects, demonstrating that while each perspective sheds (...) light on certain facets of silence, none can comprehensively encapsulate its essence. The research underscores the paradoxical nature of silence. It is both a universal phenomenon recognised across cultures and an intimate, personal experience that resists definitive categorisation. The paper concludes that the true nature of silence, particularly when considering the state of "being silent," remains indefinable and elusive, inviting deeper contemplation on its role in human experience. (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.

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)

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)

The best arguments for the 1/3 answer to the Sleeping Beauty problem all require that when Beauty awakes on Monday she should be uncertain what day it is. I argue that this claim should be rejected, thereby clearing the way to accept the 1/2 solution.

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)

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)

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)

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)

Three objections to the epistemic theory of argument are presented and briefly rebutted. In light of this reply, a case for argumentative eclecticism is made.

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)

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

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)

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)

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)

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)

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)