In classically based modal logic, there are three common conceptions of necessity, the universal conception, the equivalence relation conception, and the axiomatic conception. They provide distinct presentations of the modal logic S5, all of which coincide in the basic modal language. We explore these different conceptions in the context of the relevant logic R, demonstrating where they come apart. This reveals that there are many options for being an S5-ish extension of R. It further reveals a divide between the universal (...) conception of necessity on the one hand, and the axiomatic conception on the other: The latter is consistent with motivations for relevant logics while the former is not. For the committed relevant logician, necessity cannot be the truth in all possible worlds. (shrink)

Various theorists have endorsed the “communication argument”: communicative capacities are necessary for morally responsible agency because blame aims at a distinctive kind of moral communication. I contend that existing versions of the argument, including those defended by Gary Watson and Coleen Macnamara, face a pluralist challenge: they do not seem to sit well with the plausible view that blame has multiple aims. I then examine three possible rejoinders to the challenge, suggesting that a context-specific, function-based approach constitutes the most promising (...) modification of the communication argument. (shrink)

There appears to be few, if any, limits on what sorts of logical connectives can be added to a given logic. One source of potential limitations is the motivating ideology associated with a logic. While extraneous to the logic, the motivating ideology is often important for the development of formal and philosophical work on that logic, as is the case with intuitionistic logic. One family of logics for which the philosophical ideology is important is the family of relevant logics. In (...) this paper, I explore the limits of what a relevant connective is, showing how some basic criteria motivated by the ideology of relevant logicians provide robust limits on potential connectives. These criteria provide some plausible necessary conditions on being a relevant connective. (shrink)

Guthrie contends that religion can best be understood as systematic anthropomorphism - the attribution of human characteristics to nonhuman things and events. Religion, he says, consists of seeing the world as human like. He offers a fascinating array of examples to show how this strategy pervades secular life and how it characterizes religious experience.

It is widely agreed that reactive attitudes play a central role in our practices concerned with holding people responsible. However, it remains controversial which emotional attitudes count as reactive attitudes such that they are eligible for this central role. Specifically, though theorists near universally agree that guilt is a reactive attitude, they are much more hesitant on whether to also include shame. This paper presents novel arguments for the view that shame is a reactive attitude. The arguments also support the (...) view that shame is a reactive attitude in the sense that concerns moral accountability. The discussion thereby challenges both the view that shame is not a reactive attitude at all, suggested by philosophers such as R. Jay Wallace and Stephen Darwall, and the view that shame is a reactive attitude but does not concern moral accountability, recently defended by Andreas Carlsson and Douglas Portmore. (shrink)

In this article, we present a definition of a hyperintensionality appropriate to relevant logics. We then show that relevant logics are hyperintensional in this sense, drawing consequences for other non-classical logics, including HYPE and some substructural logics. We further prove results concerning extensionality in relevant logics. We close by discussing related concepts for classifying formula contexts and potential applications of these results.

In this paper, I motivate the addition of an actuality operator to relevant logics. Straightforward ways of doing this are in tension with standard motivations for relevant logics, but I show how to add the operator in a way that permits one to maintain the intuitions behind relevant logics. I close by exploring some of the philosophical consequences of the addition.

An important question for proponents of non-contractive approaches to paradox is why contraction fails. Zardini offers an answer, namely that paradoxical sentences exhibit a kind of instability. I elaborate this idea using revision theory, and I argue that while instability does motivate failures of contraction, it equally motivates failure of many principles that non-contractive theorists want to maintain.

The operational semantics of Urquhart is a deep and important part of the development of relevant logics. In this paper, I present an overview of work on Urquhart’s operational semantics. I then present the basics of collection frames. Finally, I show how one kind of collection frame, namely, functional set frames, is equivalent to Urquhart’s semilattice semantics.

A common refrain in and outside academia is that prominent sports figures ought to engage more in the public discourse about political issues. This idea parallels the idea that athletes ought to be role models in general. This paper first examines and critiques the “athlete as role model” argument and then applies this critique to the “athlete as political activist” argument. Appealing to the empirical political psychological literature, the paper sketches an argument that athlete activism might actually do more harm (...) than good. (shrink)

In Saving Truth from Paradox, Hartry Field presents and defends a theory of truth with a new conditional. In this paper, I present two criticisms of this theory, one concerning its assessments of validity and one concerning its treatment of truth-preservation claims. One way of adjusting the theory adequately responds to the truth-preservation criticism, at the cost of making the validity criticism worse. I show that in a restricted setting, Field has a way to respond to the validity criticism. I (...) close with some general considerations on the use of revision-theoretic methods in theories of truth. (shrink)

Relevant logics are a family of non-classical logics characterized by the behavior of their implication connectives. Unlike some other non-classical logics, such as intuitionistic logic, there are multiple philosophical views motivating relevant logics. Further, different views seem to motivate different logics. In this article, we survey five major views motivating the adoption of relevant logics: Use Criterion, sufficiency, meaning containment, theory construction, and truthmaking. We highlight the philosophical differences as well as the different logics they support. We end with some (...) questions for future research. (shrink)

In the early years of the eighteenth century Leibniz had several interactions with John Toland. These included, from 1702 to 1704, discussions of materialism. Those discussions culminated with the consideration of Toland's 1704 Letters to Serena, where Toland argued that matter is necessarily active. In this paper I argue for two main theses about this exchange and its consequences for our wider understanding. The first is that, despite many claims that Toland was at the time of Letters to Serena a (...) Spinozist, we can make better sense of him as a sort of Hobbesian materialist. The second main point concerns reasons for materialism, and in particular a story Locke tells in the Essay about materialists' motives. Toland defends his materialism by arguing that matter is active, and argues that matter is active by using a conceivability argument. But this is not the crude conceivability argument that Locke suggests motivates materialists. This (together with reflecting on some of Hobbes's arguments) suggests that we might well tell a Lockean story about reasons for early modern materialism, but not Locke's story. (shrink)

Few debates in environmental philosophy have been more heated than the one over the nature of wilderness. And yet, when one surveys the present scene, one finds that a variety of different conceptions of wilderness are still quite popular – some more so in certain professions than others. In this paper, I look at three popular conceptions of wilderness with an eye toward sussing out the good and the bad them. I look at what I call (1) the folk view (...) of wilderness, (2) Leopold’s conception of wilderness, and (3) the legal conception of wilderness (as found in the Wilderness Act of 1964). In the final part of the paper, I sketch out a sort of spectrum account of wilderness, one that I argue allows us to capture more cases of wilderness and might serve as a useful tool in future conservation efforts. (shrink)

This article examines how facial recognition technology reshapes the philosophical debate over the ethics of video surveillance. When video surveillance is augmented with facial recognition, the data collected is no longer anonymous, and the data can be aggregated to produce detailed psychological profiles. I argue that – as this non-anonymous data of people’s mundane activities is collected – unjust risks of harm are imposed upon individuals. In addition, this technology can be used to catalogue all who publicly participate in political, (...) religious, and socially stigmatised activities, and I argue that this would undermine central interests of liberal democracies. I examine the degree to which the interests of individuals and the societal interests of liberal democracies to maintain people’s obscurity while in public coincide with privacy interests, as popularly understood, and conclude that there is a practical need to articulate a novel right to obscurity to protect the interests of liberal democratic societies. (shrink)

This paper defends “Animal Universalism,” the thesis that all sentient non-human animals will be brought into Heaven and remain there for eternity. It assumes that God exists and is all-powerful, perfectly loving, and perfectly just. From these background theses, the authors argue that Animal Universalism follows. If God is perfectly loving, then God is concerned about the well-being of non-human animals, and God chooses to maximize the well-being of each individual animal when doing so does not harm other individual creatures (...) or violate creaturely freedom. If God is perfectly just, then God does not arbitrarily discriminate against non-human animals by offering humans an opportunity to enter Heaven but not offering the same to each animal. Each of these conclusions implies Animal Universalism. (shrink)

Environmental philosophy plays an important role, directly and indirectly, in many parts of society, including land and wildlife management (Leopold, 1949; Minteer, 2015), political activism (Abbey, 1968; Malm, 2020),and technological research and development (Baum & Owe, 2022; Donhauser et al., 2021). Environmental philosophy uncovers the ethical relationships existing between humans and the living and non-living world. It reveals the nuances of our scientific ecological concepts. And it tries to tell us how we might act – individually or collectively – to (...) better achieve our environmental goals. The aim of this special issue is to explore the limits and ever-expanding outer edges of this increasingly important area of philosophical thought. (shrink)

When asked which of our concepts are normative concepts, metaethicists would be quick to list such concepts as GOOD, OUGHT, and REASON. When asked why such concepts belong on the list, metaethicists would be much slower to respond. Matti Eklund is a notable exception. In his recent book, Choosing Normative Concepts, Eklund argues by elimination for “the Normative Role view” that normative concepts are normative in virtue of having a “normative role” or being “used normatively”. One view that Eklund aims (...) to eliminate is “the Metaphysical view” that normative concepts are normative in virtue of referring to normative properties. In addition to arguing that Eklund’s objection looks doubtful by its own lights, we argue that there are several plausible versions of the Metaphysical view that Eklund doesn’t eliminate, defending various claims about normative concepts and their relationships to deliberation, competence, reference, and possession along the way. (shrink)

In this article, I analyze how the Harry Potter novels bring to awareness two fundamental aspects of the human condition: the importance of one’s choices and the inevitability of one’s mortality. These are highlighted through the contrast of the characters of Harry Potter and Lord Voldemort.

In this paper, I examine the ethics of nonviolent protest when a violent response is either foreseen or intended. One central concern is whether protesters, who foresee a violent response but persist, are provoking the violence and whether they are culpable for any eventual harms. A second concern is whether it is permissible to publicize the violent response for political advantage. I begin by distinguishing between two senses of the term provoke: a normative sense where a provocateur knowingly imposes an (...) unjustified risk of a violent response, and a descriptive sense where the respondent feels provoked. I argue that, when the risk of a violent response is justified, the protesters are not provocateurs but akin to nonculpable, entrapping agents who create an opportunity for the regime to respond with disproportionate violence. The regime’s response can disclose its brutality or criminality and this can be fairly publicized for political advantage. When nonviolent protesters create an unjustified risk of violence either because the injustice they oppose is insufficient to justify the risk of a violent response or because the risked harms are disproportionate with the likely political advantages derived from the protest, they are partially culpable provocateurs. However, I argue these partially culpable provocateurs can still permissibly publicize the disproportionate violence of the regime so as to shape public opinion. (shrink)

We present a new frame semantics for positive relevant and substructural propositional logics. This frame semantics is both a generalisation of Routley–Meyer ternary frames and a simplification of them. The key innovation of this semantics is the use of a single accessibility relation to relate collections of points to points. Different logics are modeled by varying the kinds of collections used: they can be sets, multisets, lists or trees. We show that collection frames on trees are sound and complete for (...) the basic positive distributive substructural logic $\mathsf {B}^+$, that collection frames on multisets are sound and complete for $\mathsf {RW}^+$ (the relevant logic $\mathsf {R}^+$, without contraction, or equivalently, positive multiplicative and additive linear logic with distribution for the additive connectives), and that collection frames on sets are sound for the positive relevant logic $\mathsf {R}^+$. The completeness of set frames for $\mathsf {R}^+$ is, currently, an open question. (shrink)

Timothy Williamson has fruitfully exploited formal resources to shed considerable light on the nature of knowledge. In the paper under examination, Williamson turns his attention to Gettier cases, showing how they can be motivated formally. At the same time, he disparages the kind of justification he thinks gives rise to these cases. He favors instead his own notion of justification for which Gettier cases cannot arise. We take issue both with his disparagement of the kind of justification that figures in (...) Gettier cases and the specifics of the formal motivation. (shrink)

This paper discusses the materialist views of Margaret Cavendish, focusing on the relationships between her views and those of two of her contemporaries, Thomas Hobbes and Henry More. It argues for two main claims. First, Cavendish's views sit, often rather neatly, between those of Hobbes and More. She agreed with Hobbes on some issues and More on others, while carving out a distinctive alternative view. Secondly, the exchange between Hobbes, More, and Cavendish illustrates a more general puzzle about just what (...) divided materialists from their opponents. Seemingly straightforward disagreements about whether incorporeal substances exist turn out to be more complex ones in which the nature of those things is disputed at the same time as their existence. (shrink)

Leibniz's mill argument in 'Monadology' 17 is a well-known but puzzling argument against materialism about the mind. I approach the mill argument by considering other places where Leibniz gave similar arguments, using the same example of the machinery of a mill and reaching the same anti-materialist conclusion. In a 1702 letter to Bayle, Leibniz gave a mill argument that moves from his definition of perception (as the expression of a multitude by a simple) to the anti-materialist conclusion. Soon afterwards, in (...) the Preface to the New Essays, Leibniz gave a different mill argument. That argument depends upon there being no arbitrary and inexplicable connections in nature, because God would not create such things. Later, in the 'Monadology', Leibniz again used the mill example in arguing against materialism. That passage too, I argue, uses an argument from inexplicability rather than from Leibniz's definition of perception. (shrink)

As detailed in The Evolutionary Manifesto and Evolution’s Arrow, an understanding of the large-scale processes that govern the evolution of life is capable of making sense of human existence. This evolutionary worldview is revealing that we are not just meaningless accidents in a universe that is indifferent to our existence. Instead it shows that humanity has a critical role to play in the future evolution of life on this planet and in the universe. -/- But what specifically do we need (...) to do to advance the evolutionary process and ensure that humanity successfully fulfils its role in the future evolution of life? This paper uses the direction of evolution to answer this fundamental question. It identifies the next great steps in evolution on Earth, and devises strategies that will help actualize those steps. (shrink)

We argue that distinct conditionals—conditionals that are governed by different logics—are needed to formalize the rules of Truth Introduction and Truth Elimination. We show that revision theory, when enriched with the new conditionals, yields an attractive theory of truth. We go on to compare this theory with one recently proposed by Hartry Field.

When trust is broken, how should we determine who is at fault? Previous discus- sions of broken trust typically attribute the fault to trusters who place trust foolishly or trustees who act in an untrustworthy manner. These discussions take for granted the ability of the truster and trustee to communicate and understand the boundaries of what is being entrusted, that is, the domain of trust. However, the boundaries of entrusted domains are not always clear to either party which can result (...) in broken trust despite the best efforts of both truster and trustee. In this paper, I argue that deter- mining who to blame when trust is broken is a messy affair in which disagreements over fault regularly arise. I introduce three features of trust domains that take center stage in negotiations regarding who is at fault when trust is broken: scope, rigidity and ordering. (shrink)

The traditional view in epistemology is that we must distinguish between being rational and being right (that is also, by the way, the traditional view about practical rationality). In his paper in this volume, Williamson proposes an alternative view according to which only beliefs that amount to knowledge are rational (and, thus, no false belief is rational). It is healthy to challenge tradition, in philosophy as much as elsewhere. But, in this instance, we think that tradition has it right. In (...) this paper we defend our version of the traditional view and argue against Williamson’s alternative. (shrink)

In the _True Intellectual System_, Cudworth attacks types of atheist position—atomic atheism, hylozoic atheism, etc. He generally uses ancient examples to illustrate those types, but also criticizes some of his contemporaries. We can identify direct criticisms of contemporaries by finding quotations, paraphrases, and accounts of their views in the text. My primary question in this paper is, 'how much of the _True Intellectual System_ is directly about or aimed at Spinoza?' My ultimate answer, contrary to some prominent voices in the (...) existing literature, is 'not very much at all'. (shrink)

The notion of signification is an important part of Hobbes's philosophy of language. It also has broader relevance, as Hobbes argues that key terms used by his opponents are insignificant. However Hobbes's talk about names' signification is puzzling, as he appears to have advocated conflicting views. This paper argues that Hobbes endorsed two different views of names' signification in two different contexts. When stating his theoretical views about signification, Hobbes claimed that names signify ideas. Elsewhere he talked as if words (...) signified the things they named. Seeing this does not just resolve a puzzle about Hobbes's statements about signification. It also helps us to understand how Hobbes's arguments about insignificant speech work. With one important exception, they depend on the view that names signify things, not on Hobbes's stated theory that words signify ideas. The paper concludes by discussing whether arguments about insignificant speech can provide independent support for Hobbes's views about other issues, such as materialism. (shrink)

This paper investigates Locke’s views about materialism, by looking at the discussion in Essay IV.x. There Locke---after giving a cosmological argument for the existence of God---argues that God could not be material, and that matter alone could never produce thought. In discussing the chapter, I pay particular attention to some comparisons between Locke’s position and those of two other seventeenth-century philosophers, René Descartes and Ralph Cudworth. -/- Making use of those comparisons, I argue for two main claims. The first is (...) that the important argument of Essay IV.x.10 is fundamentally an argument about the causation of perfections. Indeed, Locke gives multiple such arguments in the chapter. My second main claim is that my proposed reading of IV.x is not merely consistent with what Locke says elsewhere about superaddition, but also provides reasons to favor a particular understanding of what superaddition is. (shrink)

Hobbes denies in Leviathan that we have an idea of God. He does think, though, that God exists, and does not even deny that we can think about God, even though he says we have no idea of God. There is, Hobbes thinks, another cognitive mechanism by means of which we can think about God. That mechanism allows us only to think a few things about God though. This constrains what Hobbes can say about our knowledge of God, and grounds (...) his belief in a fairly strong version of the thesis that God is incomprehensible. (shrink)

I argue that Hobbes isn't really a materialist in the early 1640s (in, e.g., the Third Objections to Descartes's Meditations). That is, he doesn't assert that bodies are the only substances. However, he does think that bodies are the only substances we can think about using imagistic ideas.

The ‘managed-metabolism’ hypothesis suggests that a ‘cooperation barrier’ must be overcome if self-producing chemical organizations are to undergo the transition from non-life to life. This dynamical barrier prevents un-managed autocatalytic networks of molecular species from individuating into complex, cooperative organizations. The barrier arises because molecular species that could otherwise make significant cooperative contributions to the success of an organization will often not be supported within the organization, and because side reactions and other ‘free-riding’ processes will undermine cooperation. As a result, (...) the barrier seriously impedes the emergence of individuality, complex functionality and the transition to life. This barrier is analogous to the cooperation barrier that also impedes the emergence of complex cooperation at all levels of living organization. As has been shown at other levels of organization, the barrier can be overcome comprehensively by appropriate ‘management’. Management implements a system of evolvable constraints that can overcome the cooperation barrier by ensuring that beneficial co-operators are supported within the organization and by suppressing free-riders. In this way, management can control and manipulate the chemical processes of a collectively autocatalytic organization, producing novel processes that serve the interests of the organization as a whole and that could not arise and persist in an un-managed chemical organization. Management self-organizes because it is able to capture some of the benefits that are produced when its interventions promote cooperation, thereby enhancing productivity. Selection will therefore favour the emergence of managers that take over and manage chemical organizations so as to overcome the cooperation barrier. The managed-metabolism hypothesis demonstrates that if management is to overcome the cooperation barrier comprehensively, its interventions must be digitally coded. In this way, the hypothesis accounts for the two-tiered structure of all living cells in which a digitally-coded genetic apparatus manages an analogically-informed metabolism.GraphicalOpen image in new window. (shrink)

In his Enquiry concerning the Principles of Morals David Hume said that a group of earlier modern philosophers, beginning with Malebranche, held that morality was founded on relations. In this paper I follow up on that suggestion by investigating pre-Humean views in moral philosophy according to which morality is founded on relations. I do that by looking at the work of Nicolas Malebranche, John Locke, and Samuel Clarke. Each of them talked prominently about relations in their accounts of basic aspects (...) of morality. Beyond that, each of them turns out to have held both metaphysical and epistemological views that might be described as founding morality on relations. Despite the definite differences between the three philosophers’ approaches, Hume does seem to have noticed a genuine connection here—even though he himself tended to ignore significant versions of this approach when criticizing it. (shrink)

Language was central to Hobbes's understanding of human beings and their mental abilities, and criticism of other philosophers' uses of language became a favorite critical tool for him. This paper connects Hobbes's theories about language to his criticisms of others' language, examining Hobbes's theories of propositions and truth, and how they relate to his claims that various sorts of proposition are absurd. It considers whether Hobbes in fact means anything more by 'absurd' than 'false'. And it pays particular attention to (...) Hobbes's categorization of causes of absurdity and of types of incoherent proposition, arguing that Hobbes's approach is only loosely related to later discussions of category mistakes. (shrink)

Thomas Hobbes often includes powers and abilities in his descriptions of the world. Meanwhile, Hobbes’s philosophical picture of the world appears quite reductive, and he seems sometimes to say that nothing exists but bodies in motion. In more extreme versions of such a picture, there would be no room for powers. Hobbes is not an eliminativist about powers, but his view does tend toward ontological minimalism. It would be good to have an account of what Hobbes thinks powers are, and (...) how they fit into his understanding of the world. In this chapter, I investigate Hobbes’s account of the metaphysics of powers and abilities. Section 1 considers three important aspects of Hobbes’s account of powers: the connection between powers and causes; the modal aspects of powers; and the connection between powers and motions. Sections 2 and 3 then consider interpretive arguments about whether Hobbes identifies powers with underlying corporeal features. (shrink)

In this paper, I argue that a commitment to science and the methodo- logical commitment to causal closure do not require a rejection of the idea that the choices of souls explain the occurrence of certain events in the physical world. Stated slightly differently, I maintain that one can both affirm science and believe that souls causally interfere in the course of events in the physical world. Such an affirmation and belief are compatible. In short, science vis-à-vis the methodological principle (...) of causal closure poses no problem for souls as explanatory agents. (shrink)

I consider Leibniz's thoughts about Hobbes's materialism, focusing on his less-discussed later thoughts about the topic. Leibniz understood Hobbes to have argued for his materialism from his imagistic theory of ideas. Leibniz offered several criticisms of this argument and the resulting materialism itself. Several of these criticisms occur in texts in which Leibniz was engaging with the generation of British philosophers after Hobbes. Of particular interest is Leibniz's correspondence with Damaris Masham. Leibniz may have been trying to communicate with Locke, (...) but ended up discussing Masham's version of the argument for materialism that Leibniz attributed to Hobbes. (shrink)

This paper has two aims. First, it sets out an interpretation of the relevant logic E of relevant entailment based on the theory of situated inference. Second, it uses this interpretation, together with Anderson and Belnap’s natural deduc- tion system for E, to generalise E to a range of other systems of strict relevant implication. Routley–Meyer ternary relation semantics for these systems are produced and completeness theorems are proven. -/- .

Leibniz frequently uses the notion of expression, but it is not easy to see just how he understood that relation. This paper focuses on the particular case of the expression of God, which is prominent in the 'Discourse on Metaphysics'. The treatment of expression there suggests several questions. Which substances did Leibniz believe expressed God? Why did Leibniz believe those substances expressed God? And did he believe that all substances expressed God in the same way and for the same reasons? (...) In answering those questions the paper distinguishes two views about expression in the 'Discourse', considers Leibniz's reasons for holding that substances express their causes, and argues that Leibniz's views about emanative causation are important for understanding the unity of his apparently distinct views here. The paper concludes by looking briefly at how the 'Discourse' fits into the evolution of Leibniz's views on this issue over time. (shrink)

This chapter looks at the discussion of materialism in John Locke’s Essay concerning Human Understanding, and then at parts of the Anglophone reaction to those discussions. It considers the early criticisms of Locke by Edward Stillingfleet and the anonymous author of three sets of Remarks on Locke’s Essay. It then looks at some other ways in which readers reacted to Locke’s discussions: the views of Anthony Collins and John Toland, which one might be tempted to think of as Lockean materialism; (...) William Carroll’s reading of Locke as a Spinozistic materialist; and the dualistic Lockeanism of William Duncan’s Lockean logic textbook. (shrink)

Can a human society be constrained in such a way that self-organization will thereafter tend to produce outcomes that advance the goals of the society? Such a society would be self-organizing in the sense that individuals who pursue only their own interests would none-the-less act in the interests of the society as a whole, irrespective of any intention to do so. The paper sketches an agent-based model that identifies the conditions that must be met if such a self-organizing society is (...) to emerge. The model draws heavily on an understanding of how self-organizing societies have emerged repeatedly during the evolution of life on Earth. The model demonstrates that the key enabling requirement for a self-organizing society is ‘consequence-capture’. Broadly this means that all agents in the society must capture sufficient of the beneficial consequences of their actions for the goals of the society. ‘Consequence-capture’ can be organized in a society by appropriate management that suppresses free riders and supports pro-social actions. In human societies these constraints include institutions such as systems of governance and social norms. If a self-organizing society is to emerge, consequence-capture must apply to all agents in the society, including those involved in the establishment and adaptation of institutions. If this is achieved, the result will be a fully self-organizing society in which the interests of all agents are aligned with the interests of the society as a whole. (shrink)

Saul Kripke once noted that there is a tight connection between computation and de re knowledge of whatever the computation acts upon. For example, the Euclidean algorithm can produce knowledge of which number is the greatest common divisor of two numbers. Arguably, algorithms operate directly on syntactic items, such as strings, and on numbers and the like only via how the numbers are represented. So we broach matters of notation. The purpose of this article is to explore the relationship between (...) the notations acceptable for computation, the usual idealizations involved in theories of computability, flowing from Alan Turing’s monumental work, and de re propositional attitudes toward numbers and other mathematical objects. (shrink)

The Evolutionary Manifesto shows that evolution is directional and demonstrates that this has major implications for humanity. The Manifesto shows that humanity must align its social systems and behaviour with the trajectory of evolution if we are to survive and thrive into the future. The Manifesto goes on to demonstrate that humanity has an essential role to play in the future evolution of life on this planet. It demonstrates that life on Earth has reached a critical stage in evolution’s trajectory. (...) Up to now evolution has moved along its trajectory blindly and unconsciously. But if evolution on Earth is to continue to advance successfully in the future, the process will have to be driven intentionally and consciously by humanity. In this way, a proper understanding of evolution shows us how we can live a life that matters in a larger scheme of things. An evolutionary worldview answers the fundamental existential question that faces us all: “What should I do with my life?” The Manifesto outlines in broad terms what humanity must do to advance the evolutionary process—how we will intentionally have to re-make our political, social and economic systems, and how we will need to develop our cognition and consciousness. As such, the Manifesto presents a detailed case for evolutionary activism--coordinated action directed at advancing the evolutionary process intentionally. (shrink)

Supra-Bayesianism is the Bayesian response to learning the opinions of others. Probability pooling constitutes an alternative response. One natural question is whether there are cases where probability pooling gives the supra-Bayesian result. This has been called the problem of Bayes-compatibility for pooling functions. It is known that in a common prior setting, under standard assumptions, linear pooling cannot be nontrivially Bayes-compatible. We show by contrast that geometric pooling can be nontrivially Bayes-compatible. Indeed, we show that, under certain assumptions, geometric and (...) Bayes-compatible pooling are equivalent. Granting supra-Bayesianism its usual normative status, one upshot of our study is thus that, in a certain class of epistemic contexts, geometric pooling enjoys a normative advantage over linear pooling as a social learning mechanism. We discuss the philosophical ramifications of this advantage, which we show to be robust to variations in our statement of the Bayes-compatibility problem. (shrink)

Analytic Philosophy, Volume 63, Issue 1, Page 16-27, March 2022.