We show, relative to the base theory RCA₀: A nontrivial tree satisfies Ramsey's Theorem only if it is biembeddable with the complete binary tree. There is a class of partial orderings for which Ramsey's Theorem for pairs is equivalent to ACA₀. Ramsey's Theorem for singletons for the complete binary tree is stronger than $B\sum_{2}^{0}$ , hence stronger than Ramsey's Theorem for singletons for ω. These results lead to extensions of results, or answers to questions, of Chubb, Hirst, and McNicholl [3].

A partial ordering $\mathbb{P}$ is $n$-Ramsey if, for every coloring of $n$-element chains from $\mathbb{P}$ in finitely many colors, $\mathbb{P}$ has a homogeneous subordering isomorphic to $\mathbb{P}$. In their paper on Ramsey properties of the complete binary tree, Chubb, Hirst, and McNicholl ask about Ramsey properties of other partial orderings. They also ask whether there is some Ramsey property for pairs equivalent to $\mathit{ACA}_{0}$ over $\mathit{RCA}_{0}$. A characterization theorem for finite-level partial orderings with Ramsey properties has been proven by the (...) second author. We show, over $\mathit{RCA}_{0}$, that one direction of the equivalence given by this theorem is equivalent to $\mathit{ACA}_{0}$, and the other is provable in $\mathit{ATR}_{0}$. We answer Chubb, Hirst, and McNicholl’s second question by showing that there is a primitive recursive partial ordering $\mathbb{P}$ such that, over $\mathit{RCA}_{0}$, “$\mathbb{P}$ is 2-Ramsey” is equivalent to $\mathit{ACA}_{0}$. (shrink)

We study the reverse mathematics of pigeonhole principles for finite powers of the ordinal $\omega$ . Four natural formulations are presented, and their relative strengths are compared. In the analysis of the pigeonhole principle for $\omega^{2}$ , we uncover two weak variants of Ramsey’s theorem for pairs.

This paper explores the relationship between Toni Morrison’s 1987 novel, Beloved, and F. W. J. Schelling’s 1813 draft of Ages of the World (Die Weltalter). It shows that Die Weltalter, contrary to much recent scholarship, which often stresses the many ways Schelling anticipated the antimetaphysical trends of post-Hegelian thought, should be first approached as a genuine attempt tobe faithful to the event of first creation and time’s “indivisible remainders”. The paper will show that Schelling’s “indivisible remainders”, the forgotten and “disremembered” (...) of history, force his thought to the limits of Romantic and idealist reflection and toward the traumatic encounters of Beloved. Morrison’s depiction of the irrepressible longing for life and recognition amid the pain and ugliness of American slavery parallels Schelling’s efforts to understand the tremendous need for life and fellowship that first urged god toward creation, when primordial longing was overcome in a child and a god entered time. (shrink)

This paper explores the relationship between Toni Morrison’s 1987 novel, Beloved, and F. W. J. Schelling’s 1813 draft of Ages of the World (Die Weltalter). It shows that Die Weltalter, contrary to much recent scholarship, which often stresses the many ways Schelling anticipated the antimetaphysical trends of post-Hegelian thought, should be first approached as a genuine attempt tobe faithful to the event of first creation and time’s “indivisible remainders”. The paper will show that Schelling’s “indivisible remainders”, the forgotten and “disremembered” (...) of history, force his thought to the limits of Romantic and idealist reflection and toward the traumatic encounters of Beloved. Morrison’s depiction of the irrepressible longing for life and recognition amid the pain and ugliness of American slavery parallels Schelling’s efforts to understand the tremendous need for life and fellowship that first urged god toward creation, when primordial longing was overcome in a child and a god entered time. (shrink)

Conceptual engineers have recently turned to the notion of conceptual functions to do a variety of explanatory work. Functions are supposed to explain what speakers are debating about in metalinguistic negotiations, to capture when two concepts are about the same thing, and to help guide our normative inquiries into which concepts we should use. In this paper, I argue that this recent “functional turn” should be deflated. Contra most interpreters, we should not try to use a substantive notion of conceptual (...) functions to handle various problems for conceptual engineering. The primary accounts of function appealed to by conceptual engineers, namely etiological and system functions, are not suited to handle many of the problems functions are supposed to handle, and it’s dubious whether any other account of function would do better. Instead of trying to use substantive functions to solve theoretical problems, we should deflate those problems themselves by focusing only on what matters to us, as speakers or theorists, in a given inquiry. (shrink)

Conceptual engineers sometimes say they want to change what our words mean. If a certain kind of externalism is true, it might be nearly impossible to do that. For some of the external factors that determine meaning, like metaphysical naturalness or past usage, are not within our power to change. And if we can’t change what determines meaning, then we can’t change meaning. I argue that, if this sort of externalism is true, then conceptual engineers didn’t want to change what (...) our words mean anyway. And if they did, they could always engineer externalism out of the language, or engineer a new sense of ‘meaning’ which could be changed. So the truth of externalism does not pose a threat to the possibility of conceptual engineering. (shrink)

Social objects have become common subjects of interest to both social ontologists and conceptual engineers, but up to this point much of the philosophical work from these two fields has surprisingly been done in isolation from each field. I show how these prolific research fields—social ontology, conceptual engineering, and conceptual ethics—can mutually benefit each other through a unifying model I propose called the 2D-CE model that shows the dependence relations between a given concept, its instantiation conditions, and whatever language represents (...) such devices. This model combines a model from social ontology with insights from conceptual engineering and conceptual ethics into a powerful metaphilosophical tool that highlights the role of social agents for metaphysical and metalinguistic explanation. A major benefit of the model is its utility for not only social philosophy, but for other areas of research beyond the social world. (shrink)

Putting feelings into words, or “affect labeling,” can attenuate our emotional experiences. However, unlike explicit emotion regulation techniques, affect labeling may not even feel like a regulatory process as it occurs. Nevertheless, research investigating affect labeling has found it produces a pattern of effects like those seen during explicit emotion regulation, suggesting affect labeling is a form of implicit emotion regulation. In this review, we will outline research on affect labeling, comparing it to reappraisal, a form of explicit emotion regulation, (...) along four major domains of effects—experiential, autonomic, neural, and behavioral—that establish it as a form of implicit emotion regulation. This review will then speculate on possible mechanisms driving affect labeling effects and other remaining unanswered questions. (shrink)

Distinguishing “business” concerns from “ethical” values is not only an unfruitful and meaningless task, it is also an impossible endeavor. Nevertheless, fruitless attempts to separate facts from values produce detrimental second-order effects, both for theory and practice, and should therefore be abandoned. We highlight examples of exemplary research that integrate economic and moral considerations, and point the way to a business ethics discipline that breaks new groundby putting ideas and narratives about business together with ideas and narratives about ethics.

Nietzsche has long been trapped in Heidegger's narrative. Positioned there as the last of a long line of metaphysicians, Nietzsche's philosophy becomes the ultimate conclusion of philosophy's history as onto-theology...

In recent years, direct brain interventions have shown increased success in manipulating neurobiological processes often associated with moral reasoning and decision-making. As current DBIs are refined, and new technologies are developed, the state will have an interest in administering DBIs to criminal offenders for rehabilitative purposes. However, it is generally assumed that the state is not justified in directly intruding in an offender’s brain without valid consent. Thomas Douglas challenges this view. The state already forces criminal offenders to go to (...) jail without their consent. This represents a serious interference with an offender’s rights. If criminal offenders are already morally liable to incarceration, why is the state not also entitled to administer DBIs without consent for the purposes of rehabilitation? Douglas argument focuses on the right to ‘bodily integrity’. He argues that there is no compelling reason to believe that bodily rights that protect an offender from non-consensual DBIs are stronger than rights that protect an offender from incarceration. This paper will extend Douglas’ analysis. It will consider the more fundamental right to ‘mental integrity’. The right to mental integrity defends an inner sphere of liberty. It protects critical capacities necessary for the exercise of autonomous human agency—without which a vast majority of moral rights could not exist. Thus, the right to mental integrity is ultimately more important for a moral assessment of DBIs. The right strongly suggests that both presently, and in the future, there may be many cases in which the state is not entitled to administer DBIs to criminal offenders without valid consent. (shrink)

Søren Kierkegaard is well-known as an original philosophical thinker, but less known is his reliance upon and development of the Christian tradition of the Seven Deadly Sins, in particular the vice of acedia, or sloth. As acedia has enjoyed renewed interest in the past century or so, commentators have attempted to pin down one or another Kierkegaardian concept (e.g., despair, heavy-mindedness, boredom, etc.) as the embodiment of the vice, but these attempts have yet to achieve any consensus. In our estimation, (...) the complicated reality is that, in using slightly different but related concepts, Kierkegaard is providing a unique look at acedia as it manifests differently at different stages on life’s way. Thus, on this “perspectival account”, acedia will manifest differently according to whether an individual inhabits the aesthetic, ethical, or religious sphere. We propose two axes for this perspectival account. Such descriptions of how acedia manifests make up the first, phenomenal axis, while the second, evaluative axis, accounts for the various bits of advice and wisdom we read in the diagnoses of acedia from one Kierkegaardian pseudonym to another. Our aim is to show that Kierkegaard was not only familiar with the concept of acedia, but his contributions helped to develop and extend the tradition. (shrink)

Psychoanalysis and Deconstruction: Freud's Psychic Apparatusdemonstrates the relevance of deconstructive thinking for the clinical practice of psychoanalysis. Arguing that deconstruction has been misrepresented as a form of literary theory or a philosophy of language, the book puts Derrida, Heidegger and others working in the tradition of deconstruction into dialogue with debates in the contemporary psychoanalytic field. Attempting to retrieve what was radical in Freud's portrayal of the mind as a machine, Jared Russell stresses the importance of psychoanalysis for an (...) understanding of the relationship between the human and its current hyper-technological environment. Interventions into contemporary debates address psychoanalytic concepts such as the nature of the clinical frame, the intersubjective dialogue, unconscious communication and the experience of time. Russell argues that deconstruction, and in particular Derrida's work, can anticipate and help clarify ongoing developments at the cutting edge of psychoanalysis today. Psychoanalysis and Deconstruction: Freud's Psychic Apparatuswill appeal not only to a philosophically informed audience but also to clinicians attempting to secure a place for psychoanalytic practice at the beginning of the twenty-first century. ticipate and help clarify ongoing developments at the cutting edge of psychoanalysis today. Psychoanalysis and Deconstruction: Freud's Psychic Apparatuswill appeal not only to a philosophically informed audience but also to clinicians attempting to secure a place for psychoanalytic practice at the beginning of the twenty-first century. (shrink)

The passage criticized by Mr. Linhart as “misleading” may be clarified as follows. Linhart is quite right that a method of interval estimation including a formula equivalent to my VI may be based on inverse probability, and that probability values considerably greater than zero may be thus obtained. The method of inverse probability to which I refer in the criticized passage, however, is that of Carnap, according to which the inverse probability of a law on the basis of finite evidence (...) is zero. My statement that “... our method of interval estimation is superior to that of inverse probability, in that the probability values yielded by the former are considerably greater than those given by the latter...” remains true, since it is Carnap's method, which is not an interval method, of which I am speaking. (shrink)

The author discusses some difficulties involved in the application of "degree of confirmation" to the confirmation of lawlike-statements. An alternative analysis is proposed, which is based on interval estimation. It is argued that this analysis is superior to the criticized method, in that it is better able to show how instantial confirmations are inductively relevant to a law, and in that it requires fewer undesirable extra-logical assumptions.

I broadly explore the question by examining several common criticisms of CEO pay through both philosophical and empirical lenses. While some criticisms appear to be unfounded, the analysis shows not only that current compensation practices are problematic both from the standpoint of distributive justice and fairness, but also that incentive pay ultimately exacerbates the very agency problem it is purported to solve.

What is the source of logical and mathematical truth? This book revitalizes conventionalism as an answer to this question. Conventionalism takes logical and mathematical truth to have their source in linguistic conventions. This was an extremely popular view in the early 20th century, but it was never worked out in detail and is now almost universally rejected in mainstream philosophical circles. Shadows of Syntax is the first book-length treatment and defense of a combined conventionalist theory of logic and mathematics. It (...) argues that our conventions, in the form of syntactic rules of language use, are perfectly suited to explain the truth, necessity, and a priority of logical and mathematical claims, as well as our logical and mathematical knowledge. (shrink)

This paper develops a novel puzzle about desire consisting of three independently plausible but jointly inconsistent propositions: all desires are dispositional states, we have privileged access to some of our desires, and we do not have privileged access to any dispositional state. Proponents of the view that all desires are dispositional states might think the most promising way out of this puzzle is to deny. I argue, however, that such attempts fail because the most plausible accounts of self-knowledge of desires (...) do not explain how we possess privileged access to dispositional desires. I conclude by offering what I take to be a more promising solution to the puzzle, one that involves the rejection of on the grounds that some desires possess phenomenology. (shrink)

Achieving food system sustainability is one of the more pressing challenges of this century. Over the last decades, experts from diverse disciplines and intellectual traditions have worked to document the critical threats to food system sustainability and to define an appropriate agenda for action. Nevertheless, these efforts have tended to focus selectively on only a few components of the food system or have tended to be framed in particular discourses. Depending on the point of departure, what aspects of the food (...) system are considered threatened, and what must be sustained, can differ greatly between perspectives. In this article, we draw from systems-thinking and social-ecological systems concepts to focus on the underlying process-related attributes that could support a more sustainable food system. We then examine the support for specific system attributes in six different knowledge domains addressing sustainable agriculture and food. From this review, we identify five system attributes—diversity, modularity, transparency, innovation and congruence—that are repeatedly featured in the different knowledge domains as critical aspects of food system sustainability. We argue that in the face of considerable complexity and high uncertainty, these attributes can serve as a guide to conceptualizing food system choices adaptively and iteratively. (shrink)

Achieving food system sustainability is one of the more pressing challenges of this century. Over the last decades, experts from diverse disciplines and intellectual traditions have worked to document the critical threats to food system sustainability and to define an appropriate agenda for action. Nevertheless, these efforts have tended to focus selectively on only a few components of the food system or have tended to be framed in particular discourses. Depending on the point of departure, what aspects of the food (...) system are considered threatened, and what must be sustained, can differ greatly between perspectives. In this article, we draw from systems-thinking and social-ecological systems concepts to focus on the underlying process-related attributes that could support a more sustainable food system. We then examine the support for specific system attributes in six different knowledge domains addressing sustainable agriculture and food. From this review, we identify five system attributes—diversity, modularity, transparency, innovation and congruence—that are repeatedly featured in the different knowledge domains as critical aspects of food system sustainability. We argue that in the face of considerable complexity and high uncertainty, these attributes can serve as a guide to conceptualizing food system choices adaptively and iteratively. (shrink)

Network Democracy uses the contemporary tools of ecology and network thinking to unearth the ancient, intellectual ruins of traditional conservative thought. Questioning the West’s veneration of freedom, equality, contractual citizenship, economic progress, cosmopolitanism, secular institutionalism, and reason, Jared Giesbrecht illuminates how these ideals fuel violence and insecurity in our high-speed lives. While the modern age witnesses the rise of a violent conservatism in the form of revolutionary movements enacting terror and vengeance for the interventions of the liberal West, this (...) study reveals a different kind of conservatism - one that has emerged in direct conversation with liberal thought. Giesbrecht highlights the need for intermediate institutions and civil enterprises that form relations and traditions independent of the state in order to develop resistance to the insecurity of the liberal age. This book offers not only a poignant critique, but a constructive and peaceable alternative to the violence of both liberalism and reactionary anti-liberalism. Attuned to the new realities of globalization, advanced technology, and social acceleration, Network Democracy is a masterful hybrid of ancient and cutting-edge political philosophy that casts a new light on the values underlying western civilization. (shrink)

This essay reexamines aspects of F. W. J. Schelling’s philosophy in the context of the recent resurgence of academic interest in anarchist theory, with emphasis on how Schelling’s thought relates to founding anarchist thinker Mikhail Bakunin. Through an examination of aspects of Schelling’s ontology and his critique of Hegel, I discuss how Bakunin’s objections to Schelling can be tempered, all while providing the framework for a “philosophy of existence” which informs Bakunin’s own departure from a Hegelian “philosophy of essence.” I (...) then propose how Schelling’s ontology might go beyond Bakunin to speak to the non-foundationalist aspects of anarchist thinking today. (shrink)

This essay is part of a special issue celebrating 50 years of Political Theory. The ambition of the editors was to mark this half century not with a retrospective but with a confabulation of futures. Contributors were asked: What will political theory look and sound like in the next century and beyond? What claims might political theorists or their descendants be making in ten, twenty-five, fifty, a hundred years’ time? How might they vindicate those claims in their future contexts? How (...) will the consistent concerns of political theorists evolve into the questions critical for people decades or centuries from now? What new problems will engage the political theorists (or their rough equivalents) of the future? What forms might those take? What follows is one of the many confabulations published in response to these queries. (shrink)

Because the fauna of the world possess a blood-driven vitality so comparable to that of people, they serve as an unwitting resource in the anthropocentric quest to ward off the ravages of death and decay, to create a cornucopia of human life amid the caprices of the cosmos. Fueled by the human fear of the grave, the “Gilgamesh complex” is the ensemble of beliefs and desires underlying a spectrum of zoocidal practices ranging from religious immolation to scientific experimentation. The name (...) of the complex draws its textual inspiration from the Babylonian epic of the warrior-king Gilgamesh, who lays waste to beasts of forest and field in his quest for immortality. From a psychological perspective, the epic of Gilgamesh pierces the veil of submerged desires and muddled behaviors that most people in modern society are loath to recognize. The Gilgamesh complex is also among the most culturally and historically encompassing of psychological complexes, penetrating to the barest of human existential concerns—the preoccupation with death. (shrink)

Here I defend dispositionalism about meaning and rule-following from Kripkenstein's infamous anti-dispositionalist arguments. The problems of finitude, error, and normativity are all addressed. The general lesson I draw is that Kripkenstein's arguments trade on an overly simplistic version of dispositionalism.

This paper develops a novel defense of the non-sensory phenomenology of desires, and more broadly, of attitudes. I argue that the way to defend this type of phenomenology is to: offer a defense of the view that attitudes are states that realize the causal role of attitude types and argue that what realizes the causal role of attitudes are, in certain cases, states that possess non-sensory phenomenology. I carry out this approach with respect to desires by developing the view that (...) desires play the causal role of motivating action, and in some cases, the states that play this role are states that possess the non-sensory phenomenology of attraction. I proceed to argue that if this way of defending the non-sensory phenomenology of desires, and more broadly, of attitudes, is unsuccessful, we should be eliminativists about this type of phenomenology. (shrink)

One argument for reductive physicalism, the explanatory argument, rests on its ability to explain the vast and growing body of acknowledged psychophysical correlations. Jaegwon Kim has recently levelled four objections against the explanatory argument. I assess all of Kim's objections, showing that none is successful. The result is a defence of the explanatory argument for physicalism.

Experimental research is reviewed which suggests that rational framing effects influence young children's social activities according to a logic of interdependence. However, young children are unlikely to possess some of the elaborate cognitive skills argued in the Target Article to be prerequisite for rational framing effects. Understanding rational framing effects requires understanding their ontogenetic origins.

In Nietzsche's Constructivism: A Metaphysics of Material Objects, Justin Remhof argues that Nietzsche was a constructivist about material objects. That is, Nietzsche held that material objects—like hammers, planets, and dinosaurs—are "constitutively dependent" for their existence on our conceptual practices. Planets exist in part because we deploy the concept planet. Remhof defends this interpretation against its competitors, argues that it helps us understand other areas of Nietzsche's thought, and shows how it relates to the views of certain pragmatists and to contemporary (...) disputes in metaphysics. Although I'm not convinced by the arguments for the constructivist reading, there is much of value in the work... (shrink)

I argue for two claims: that the ordinary English truth predicate is a gradable adjective and that truth is a property that comes in degrees. The first is a semantic claim, motivated by the linguistic evidence and the similarity of the truth predicate’s behavior to other gradable terms. The second is a claim in natural language metaphysics, motivated by interpreting the best semantic analysis of gradable terms as applied to the truth predicate. In addition to providing arguments for these two (...) claims, I draw out consequences for debates about deflationism and truth-based analyses of notions such as assertion and logical consequence. (shrink)

The swamping problem is the problem of explaining why reliabilist knowledge (reliable true belief) has greater value than mere true belief. Swamping problem advocates see the lack of a solution to the swamping problem (i.e., the lack of a value-difference between reliabilist knowledge and mere true belief) as grounds for rejecting reliabilism. My aims here are (i) to specify clear requirements for a solution to the swamping problem that are as congenial to reliabilism's critics as possible, (ii) to clear away (...) various existing reliabilist solutions on the basis of these requirements, and (iii) to present a reliabilist solution that succeeds in meeting all of them. To meet all the requirements, my solution develops a more nuanced understanding of the epistemic end than is currently discussed, and with it a novel way of individuating beliefs. I close with a brief discussion of the question whether reliabilism's critics might impose further demands which reliabilism cannot possibly meet. (shrink)

Friedrich Nietzsche thought that philosophers were deeply mistaken about the nature and sources of philosophical activity. Where others took themselves to be motivated by a desire to know the truth, Nietzsche charged that his fellow philosophers, motivated by a pathological set of psychological and physiological characteristics, did little more than sublimate and rationalize their own prejudices. In this thesis, I sketch out in further detail and defend the plausibility and significance of this Nietzschean diagnosis of philosophers. I argue that since (...) Nietzsche’s view of philosophers both offers a compelling explanation of some phenomena in contemporary philosophical practice and, were it true, would have significant upshot for how and even whether philosophy should be practiced, we philosophers ought to begin taking it seriously. (shrink)

Recent observations associate naturally occurring trace levels of Lithium in ground water with significantly lower suicide rates. It has been suggested that adding trace Lithium to drinking water could be a safe and effective way to reduce suicide. This article discusses the many ethical implications of such population-wide Lithium medication. It compares this policy to more targeted solutions that introduce trace amounts of Lithium to groups at higher risk of suicide or lower risk of adverse effects. The question of mass (...) treatment with Lithium recalls other choices in public health between population-wide and more targeted interventions. The framework we propose could be relevant to some of these other dilemmas. (shrink)

This paper formulates a general epistemological argument against what I call non-causal realism, generalizing domain specific arguments by Benacerraf, Field, and others. First I lay out the background to the argument, making a number of distinctions that are sometimes missed in discussions of epistemological arguments against realism. Then I define the target of the argument—non-causal realism—and argue that any non-causal realist theory, no matter the subject matter, cannot be given a reasonable epistemology and so should be rejected. Finally I discuss (...) and respond to several possible responses to the argument. In addition to clearing up and avoiding numerous misunderstandings of arguments of this kind that are quite common in the literature, this paper aims to present and endorse a rigorous and fully general epistemological argument against realism. (shrink)

This paper explores, analyzes, and investigates how the political ideologies of American citizens and their elected representatives interact with views put forth by corporate media to help shape various ideologies about environmental issues in contemporary America. I specifically enter into this area of exploration by focusing on one variable, the variable of religion. Therefore, in this paper I seek to help elucidate broad patterns and understandings of environmental issues in America as they have developed since the beginning of the modern (...) environmental movement, focusing especially on the role religion has and is playing in this process. The paper is driven by identifying two major groups in American society, Liberal/nurturant parent, and Conservative/strict father, and how the core values of each group influence their ideological approaches to religion, environmentalism, and politics. The investigation is undertaken in the larger context of worsening climate change, suggesting that the interplay of religious, political, and environmentalist ideology of the past few decades presages further ideological shifts in the coming decades about our changing biosphere. (shrink)

To Shape a New World: Essays on the Political Philosophy of Martin Luther King, Jr., edited by Harvard University professors Tommie Shelby and Brandon Terry, seeks to "rediscover" Martin Luther King, Jr. This is an important and appropriate task for a figure who has achieved mythic status in American political culture, whose words have at times become aphorized in morally bankrupt speeches and corporate campaigns and whose subtly argued theoretical positions have often been diminished in order to "amplify an idea (...) or advance a cause that King actually opposed". King's work and activism developed in concert within a groundswell of grassroots political action and contestation (a point put on fine display perhaps... (shrink)

Several recent epistemologists have used understanding-assent links in theories of a priori knowledge and justification, but Williamson influentially argued against the existence of such links. Here I (1) clarify the nature of understanding-assent links and their role in epistemology; (2) clarify and clearly formulate Williamson’s arguments against their existence; (3) argue that Williamson has failed to successfully establish his conclusion; and (4) rebut Williamson’s claim that accepting understanding-assent links amounts to a form of dogmatism.

I evaluate three of the most widespread analytic objections to the doctrine of divine simplicity: that it fails to cohere with the application of accidental predicates like ‘creator’ or ‘lord’ to God, problematically entails that God is identical to an abstract object, and is inconsistent with the freedom and contingency of God’s acts in creation resulting in modal uniformity/collapse. In dialogue with Thomas’s account of the doctrine, I suggest that each objection is either the product of a misinterpretation or is (...) addressed by Thomas himself. This defence of Thomas’s view of divine simplicity further unearths the way his account of divine simplicity is, according to Thomas, necessary to secure divine aseity and ultimacy. This places a burden upon analytic objectors to divine simplicity, questioning whether their neo-classical conception of God offers an adequate account of divine ultimacy, aseity, and even goodness. (shrink)

This paper investigates the determinacy of mathematics. We begin by clarifying how we are understanding the notion of determinacy before turning to the questions of whether and how famous independence results bear on issues of determinacy in mathematics. From there, we pose a metasemantic challenge for those who believe that mathematical language is determinate, motivate two important constraints on attempts to meet our challenge, and then use these constraints to develop an argument against determinacy and discuss a particularly popular approach (...) to resolving indeterminacy, before offering some brief closing reflections. We believe our discussion poses a serious challenge for most philosophical theories of mathematics, since it puts considerable pressure on all views that accept a non-trivial amount of determinacy for even basic arithmetic. (shrink)