It’s sometimes suggested that we can (in a sense) settle the truth-value of some statements in the language of number theory by stipulation, adopting either φ or ¬φ as an additional axiom. For example, in Clarke-Doane (2020b) and a series of recent APA presentations, Clarke-Doane suggests that any Σ01 sound expansion of our current arithmetical practice would express a truth. In this paper, I’ll argue that (given a certain popular assumption about the model-theoretic representability of languages like ours) we can’t (...) know ourselves to have any such freedom. (shrink)

In this article, I discuss a trivialization worry for Hartry Field’s official formulation of the access problem for mathematical realists, which was pointed out by Øystein Linnebo (and has recently been made much of by Justin Clarke-Doane). I argue that various attempted reformulations of the Benacerraf problem fail to block trivialization, but that access worriers can better defend themselves by sticking closer to Hartry Field’s initial informal characterization of the access problem in terms of (something like) general epistemic norms of (...) coincidence avoidance. (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)

Mathematical knowledge and moral knowledge (or normative knowledge more generally) can seem intuitively puzzling in similar ways. For example, taking apparent human knowledge of either domain at face value can seem to require accepting that we benefited from some massive and mysterious coincidence. In the mathematical case, a pluralist partial response to access worries has been widely popular. In this paper, I will develop and address a worry, suggested by some works in the recent literature like (Clarke-Doane, 2020 ), that (...) connections between ought facts and action prevent us from giving a similarly pluralist response to moral access worries. (shrink)

Abstract In his discourses on ‘the lily of the field and the bird of the air,’ Kierkegaard presents faith as the best possible response to our precarious and uncertain condition, and as the ideal way to cope with the insecurities and concerns that his readers will recognize as common features of human existence. Reading these discourses together, we are introduced to the portrait of a potential believer who, like the ‘divinely appointed teachers’—the lily and the bird—succeeds in leading a life (...) that is full of care, but free of worry. Such a portrait, we claim, echoes Kierkegaard’s portrait of the knight of faith in Fear and Trembling . In this essay we suggest that faith, as characterized in the ‘lily and bird’ discourses, is a kind of existential trust that would allow us to overcome worry, while remaining wholeheartedly engaged in the finite realm of our cares and concerns. We claim that Kierkegaard’s goal in these discourses is not to belittle our earthly cares, but to invite us to develop a modified attitude toward all that we are susceptible to worry about. Content Type Journal Article Category Article Pages 1-19 DOI 10.1007/s11153-011-9322-5 Authors Sharon Krishek, Department of Philosophy, The Hebrew University of Jerusalem, Jerusalem, Israel Rick Anthony Furtak, Department of Philosophy, Colorado College, Colorado Springs, CO, USA Journal International Journal for Philosophy of Religion Online ISSN 1572-8684 Print ISSN 0020-7047. (shrink)

In this paper, I will attempt to develop and defend a common form of intuitive resistance to the companions in guilt argument. I will argue that one can reasonably believe there are promising solutions to the access problem for mathematical realism that don’t translate to moral realism. In particular, I will suggest that the structuralist project of accounting for mathematical knowledge in terms of some form of logical knowledge offers significant hope of success while no analogous approach offers such hope (...) for moral realism. (shrink)

This paper is a defense of moral evidentialism, the view that we have a moral obligation to form the doxastic attitude that is best supported by our evidence. I will argue that two popular arguments against moral evidentialism are weak. I will also argue that our commitments to the moral evaluation of actions require us to take doxastic obligations seriously.

The idea that knowledge can be extended by inference from what is known seems highly plausible. Yet, as shown by familiar preface paradox and lottery-type cases, the possibility of aggregating uncertainty casts doubt on its tenability. We show that these considerations go much further than previously recognized and significantly restrict the kinds of closure ordinary theories of knowledge can endorse. Meeting the challenge of uncertainty aggregation requires either the restriction of knowledge-extending inferences to single premises, or eliminating epistemic uncertainty in (...) known premises. The first strategy, while effective, retains little of the original idea—conclusions even of modus ponens inferences from known premises are not always known. We then look at the second strategy, inspecting the most elaborate and promising attempt to secure the epistemic role of basic inferences, namely Timothy Williamson’s safety theory of knowledge. We argue that while it indeed has the merit of allowing basic inferences such as modus ponens to extend knowledge, Williamson’s theory faces formidable difficulties. These difficulties, moreover, arise from the very feature responsible for its virtue- the infallibilism of knowledge. (shrink)

Since Benacerraf’s ‘What Numbers Could Not Be, ’ there has been a growing interest in mathematical structuralism. An influential form of mathematical structuralism, modal structuralism, uses logical possibility and second order logic to provide paraphrases of mathematical statements which don’t quantify over mathematical objects. These modal structuralist paraphrases are a useful tool for nominalists and realists alike. But their use of second order logic and quantification into the logical possibility operator raises concerns. In this paper, I show that the work (...) of both these elements can be done by a single natural generalization of the logical possibility operator. (shrink)

In this paper I will draw attention to an important route to external world skepticism, which I will call confidence skepticism. I will argue that we can defang confidence skepticism (though not a meeker ‘argument from might’ which has got some attention in the 20th century literature on external world skepticism) by adopting a partially psychologistic answer to the problem of priors. And I will argue that certain recent work in the epistemology of mathematics and logic provides independent support for (...) such psychologism. (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)

The paper argues that knowledge is not closed under logical inference. The argument proceeds from the openness of evidential support and the dependence of empirical knowledge on evidence, to the conclusion that knowledge is open. Without attempting to provide a full-fledged theory of evidence, we show that on the modest assumption that evidence cannot support both a proposition and its negation, or, alternatively, that information that reduces the probability of a proposition cannot constitute evidence for its truth, the relation of (...) evidential support is not closed under known entailment. Therefore the evidence-for relation is deductively open regardless of whether evidence is probabilistic or not. Given even a weak dependence of empirical knowledge on evidence, we argue that empirical knowledge is also open. On this basis, we also respond to the strongest argument in support of knowledge closure. Finally, we present a number of significant benefits of our position, namely, offering a unified explanation for a range of epistemological puzzles. (shrink)

Most contemporary political science researchers are advocates of multimethod research, however, the value and proper role of qualitative methodologies, like case study analysis, is disputed. A pluralistic philosophy of science can shed light on this debate. Methodological pluralism is indeed valuable, but does not entail causal pluralism. Pluralism about the goals of science is relevant to the debate and suggests a focus on the difference between evidence for warrant and evidence for use. I propose that case study research provides evidence (...) for use through providing information that bears on the applicability of causal generalizations and risk assessment. (shrink)

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)

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.

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)

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

In this article, we reflect on our experiences teaching a PWOL course called Philosophy for Living. The course uses modules focused on different historical philosophical ways of life (Epicureanism, Stoicism, Confucianism, Existentialism, etc.) to engage students in exploring how philosophy can be a way of life and how its methods, virtues, and ideas can improve their own lives. We describe and compare our experiences with two central aspects of our approach: engagement with diversity and the use of immersive experiences and (...) assignments. In particular, we discuss how we recognize and center various forms of diversity in philosophy—cultural and gender diversity, but also diversity in how and in what forms philosophy can be done and what “philosophy as a way of life” can be. We also examine how the experimental and experiential aspects of immersive assignments promote deeper understanding and create possibilities for personal transformation. (shrink)

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

Harman and Lewis credit Kripke with having formulated a puzzle that seems to show that knowledge entails dogmatism. The puzzle is widely regarded as having been solved. In this paper we argue that this standard solution, in its various versions, addresses only a limited aspect of the puzzle and holds no promise of fully resolving it. Analyzing this failure and the proper rendering of the puzzle, it is suggested that it poses a significant challenge for the defense of epistemic closure.

There are few indulgences academics can crave more than to have their work considered and addressed by leading researchers in their field. We have been fortunate to have two outstanding philosophers from whose work we have learned a great deal give ours their thoughtful attention. Grappling with Stephen Yablo’s, and Juan Comesaña’s comments and criticisms has helped us gain a better understanding of our ideas as well as their shortcomings. We are extremely grateful to them for the attentiveness and seriousness (...) with which they have considered our arguments and to philosophical studies for giving us this opportunity. Given the substantive difference between the two response papers, there is not much beyond sincere gratitude that we can covey to them jointly. We will therefore address them in turn. (shrink)

Timothy Williamson has famously argued that the principle should be rejected. We analyze Williamson's argument and show that its key premise is ambiguous, and that when it is properly stated this premise no longer supports the argument against. After canvassing possible objections to our argument, we reflect upon some conclusions that suggest significant epistemological ramifications pertaining to the acquisition of knowledge from prior knowledge by deduction.

This note points out a conflict between some common intuitions about metaphysical possibility. On the one hand, it is appealing to deny that there are robust counterfactuals about how various physically impossible substances would interact with the matter that exists at our world. On the other hand, our intuitions about how concepts like MOUNTAIN apply at other metaphysically possible worlds seem to presuppose facts about ‘solidity’ which cash out in terms of these counterfactuals. I consider several simple attempts to resolve (...) this conflict and note they all fall short. (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.

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.

There is a consistent and simple interpretation of the quantum theory of isolated systems. The interpretation suffers no measurement problem and provides a quantum explanation of state reduction, which is usually postulated. Quantum entanglement plays an essential role in the construction of the interpretation.

Natural experiments are an increasingly popular research design in political science. This popularity raises a number of questions. First, what are natural experiments and why are they appealing? Second, what makes a good natural experiment? And finally, are natural experiments able to provide resources for knowledge production that other methodologies cannot or do not provide? Using Mary Morgan’s and Thad Dunning’s recent work on natural experiments, I offer answers to the first two questions and use the analysis to argue that (...) natural experiments highlight features of knowledge production that support methodological pluralism and the multiple aims of research. (shrink)

I argue that current discussions of the epistemological significance of reflection have entangled concerns about reflection with agential concerns. I begin by showing that a central strand of internalist criticism finds externalism unsatisfactory because it fails to provide a particular kind of self-knowledge, knowledge about the epistemic status of one’s own beliefs. Identifying this internalist motivation as the desire for a kind of self-knowledge opens up new possibilities and suggests new conceptual resources. I employ one of these resources—Richard Moran’s distinction (...) between the theoretical stance and the deliberative stance—to locate two types of reflection: mere reflective awareness of one’s attitudes and agent-awareness of one’s attitudes. I then examine Ernest Sosa’s account of the importance of reflection, showing how Moran’s distinction brings out the centrality of agential concerns in Sosa’s argument for reflective knowledge. I also consider briefly its relevance to fully apt knowledge. While I focus on Sosa’s epistemology, the point extends to internalism more generally. (shrink)

This Thesis engages with contemporary philosophical controversies about the nature of dispositional properties or powers and the relationship they have to their non-dispositional counterparts. The focus concerns fundamentality. In particular, I seek to answer the question, ‘What fundamental properties suffice to account for the manifest world?’ The answer I defend is that fundamental categorical properties need not be invoked in order to derive a viable explanation for the manifest world. My stance is a field-theoretic view which describes the world as (...) a single system comprised of pure power, and involves the further contention that ‘pure power’ should not be interpreted as ‘purely dispositional’, if dispositionality means potentiality, possibility or otherwise unmanifested power or ability bestowed upon some bearer. The theoretical positions examined include David Armstrong’s Categoricalism, Sydney Shoemaker’s Causal Theory of Properties, Brian Ellis’s New Essentialism, Ullin Place’s Conceptualism, Charles Martin’s and John Heil’s Identity Theory of Properties and Rom Harré’s Theory of Causal Powers. The central concern of this Thesis is to examine reasons for holding a pure-power theory, and to defend such a stance. This involves two tasks. The first requires explaining what plays the substance role in a pure-power world. This Thesis argues that fundamental power, although not categorical, can be considered ontologically-robust and thus able to fulfil the substance role. A second task—answering the challenge put forward by Richard Swinburne and thereafter replicated in various neo-Swinburne arguments—concerns how the manifestly qualitative world can be explained starting from a pure-power base. The Light-like Network Account is put forward in an attempt to show how the manifest world can be derived from fundamental pure power. (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)

Progress in addiction science is hampered by disagreements and ambiguity around its core construct: addiction. Addiction Ontology (AddictO) offers a path to a solution of the kind that has addressed similar problems in other areas of science: a set of clearly and uniquely defined entities to which terms such as ‘addiction’, addictive disorder’ and ‘substance dependence ’can be applied for ease of reference while recognizing that it is the construct definitions and their unique IDs that are central, not the terms.

The rapid expansion of Big Tech companies into various societal domains (e.g., health, education, and agriculture) over the past decade has led to increasing concerns among governments, regulators, scholars, and civil society. While existing theoretical frameworks—often revolving around privacy and data protection, or market and platform power—have shed light on important aspects of Big Tech expansionism, there are other risks that these frameworks cannot fully capture. In response, this editorial proposes an alternative theoretical framework based on the notion of sphere (...) transgressions, which draws on political philosopher Michael Walzer's theory of justice. The editorial not only introduces the sphere transgressions framework, but it also highlights its potential to generate novel research questions. Furthermore, this editorial introduces eight articles and one commentary from a group of interdisciplinary scholars that critically examine Big Tech expansionism by reflecting on this expansionism from the perspective of different societal spheres or by engaging with the sphere transgressions framework itself. (shrink)

Many approaches to addressing labour injustices—shortfalls from minimally decent wages and working conditions— focus on how governments should orient themselves toward other states in which such phenomena take place, or to the firms that are involved with such practices. But of course the question of how to regard such labour practices must also be faced by individuals, and individual consumers of the goods that are produced through these practices in particular. Consumers have become increasingly aware of their connections to complex (...) global production processes that often involve such injustice. For example, activist campaigns have exposed wrongful harm in factories producing clothes, shoes and mobile phones and farms producing coffee, tea and cocoa. These campaigns have promoted the message to ordinary people that by becoming connected to unjust labour practices through their purchasing behaviour, they acquire special additional moral responsibilities to contribute to reforming such practices, or to address the hardships suffered by the victims of the wrongdoing that result from them. The moral significance of the responsibilities of individual consumers has not, however, received much analytical scrutiny. Why should we believe that there are such responsibilities? And if there are such responsibilities, what are their grounds? How stringent are the responsibilities triggered by such connections? Finally, what are the implications of such responsibilities—the courses of action that they prescribe or proscribe? The activists who assert special ethical responsibilities for consumers have promoted many particular courses of action, but have seldom articulated the grounds of these responsibilities or explained why they should be taken to be stringent. And moral and political theorists have not devoted much focussed attention to this issue. For the consumer who is concerned to act in a morally permissible way, this presents a troubling practical challenge regarding the goods they may (or may not) purchase, and the moral relevance of their consumption choices more generally. While we cannot address all of these pressing questions in this chapter, we try to make some headway with them by discussing two general approaches to the question of how individuals should conceive of their responsibilities with respect to such practices, taking as our starting point the recent work of the late Iris Marion Young—the most sustained treatment of this topic by a prominent political theorist. In a series of influential articles and a posthumously published book, Young articulated an approach to conceiving of individual responsibilities to address labour injustices—the social connection model—at home and abroad. She also argued that an alternative model—the liability model—which she claimed had dominated discourse on this topic, suffered from very serious flaws. In a critical vein, we will argue that Young’s arguments against the liability model are not convincing, and that the alternative she proposes is itself vulnerable to some damaging objections. We also find, however, that the liability model would need to be extended in various ways to provide an adequate account of individual responsibility to address shortfalls from minimally decent wages and working conditions, and we begin the task of sketching an extended framework. (shrink)

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)

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.

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

This paper gives two complete and elementary proofs that if the speed of light over closed paths has a universal value c, then it is possible to synchronize clocks in such a way that the one-way speed of light is c. The first proof is an elementary version of a recent proof. The second provides high precision experimental evidence that it is possible to synchronize clocks in such a way that the one-way speed of light has a universal value. We (...) also discuss an old incomplete proof by Weyl which is important from an historical perspective. (shrink)

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.

Hans C. Ohanian 1 claims to “defeat” the conventionalist thesis of clock synchronization using an argument based on dynamics. My aim here is to show that his argument does not succeed.

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 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.