Dasgupta poses a serious challenge to realism about natural properties. He argues that there is no acceptable explanation of why natural properties deserve the value realists assign to them and are consequently absent of value. In response, this paper defines and defends an alternative non-explanatory account of normativity compatible with realism. Unlike Lewis and Sider, who believe it is sufficient to defend realism solely on realist terms, I engage with the challenge on unfriendly grounds by revealing a tu quoque. Dasgupta (...) and anti-realists face a similar challenge to that directed against realism: one that not only undermines the objection to realism by legitimising non-explanatory normativity but leaves them facing a significant dilemma. (shrink)

Samuel Kerstein’s recent (2013) How To Treat Persons is an ambitious attempt to develop a new, broadly Kantian account of what it is to treat others as mere means and what it means to act in accordance with others’ dignity. His project is explicitly nonfoundationalist: his interpretation stands or falls on its ability to accommodate our pretheoretic intuitions, and he does an admirable job of handling carefully a range of well fleshed out and sometimes subtle examples. In what follows, (...) I shall give a quick summary of the chapters and then say two good things about the book and one critical thing. (shrink)

In this paper I discuss the problem of the Kantian line. The problem arises because the locus of value in Kantian ethics is rationality, which (counterintuitively) seems to entail that there are no duties to groups of beings like children. I argue that recent attempts to solve this problem by Wood and O’Neill overlook an important aspect of it before posing my own solution.

The recent explosion in the discovery of exoplanets and our incipient ability to detect atmospheric biomarkers recommend reflection on the conceptual implications of discovering – or not discovering – extrasolar life. I contend that evidence for intelligent extraterrestrial life is evidence against the existence of God, because if there are intelligent extraterrestrials, there are likely to be evils in the universe even greater than those found on Earth. My reasoning is based on Richard Gott's Copernican Principle, which holds that in (...) the absence of information to the contrary, we should take ourselves to be typical observers. (shrink)

Matthew Leisinger (2020) argues that previous interpretations of John Locke’s account of akrasia (or weakness of will) are mistaken and offers a new interpretation in their place. In this essay, we aim to recapitulate part of this debate, defend a previously articulated interpretation by responding to Leisinger’s criticisms of it, and explain why Leisinger’s own interpretation faces textual and philosophical problems that are serious enough to disqualify it as an accurate reconstruction of Locke’s views. In so doing, we aim to (...) shed further light on Locke’s views on the various ways in which humans are prone to err in their pursuit of happiness. (shrink)

We sometimes fail unwittingly to do things that we ought to do. And we are, from time to time, culpable for these unwitting omissions. We provide an outline of a theory of responsibility for unwitting omissions. We emphasize two distinctive ideas: (i) many unwitting omissions can be understood as failures of appropriate vigilance, and; (ii) the sort of self-control implicated in these failures of appropriate vigilance is valuable. We argue that the norms that govern vigilance and the value of self-control (...) explain culpability for unwitting omissions. (shrink)

Fragmentalism was originally introduced as a new A-theory of time. It was further refined and discussed, and different developments of the original insight have been proposed. In a celebrated paper, Jonathan Simon contends that fragmentalism delivers a new realist account of the quantum state—which he calls conservative realism—according to which: the quantum state is a complete description of a physical system, the quantum state is grounded in its terms, and the superposition terms are themselves grounded in local goings-on about the (...) system in question. We will argue that fragmentalism, at least along the lines proposed by Simon, does not offer a new, satisfactory realistic account of the quantum state. This raises the question about whether there are some other viable forms of quantum fragmentalism. (shrink)

In this paper, we focus on whether and to what extent we judge that people are responsible for the consequences of their forgetfulness. We ran a series of behavioral studies to measure judgments of responsibility for the consequences of forgetfulness. Our results show that we are disposed to hold others responsible for some of their forgetfulness. The level of stress that the forgetful agent is under modulates judgments of responsibility, though the level of care that the agent exhibits toward performing (...) the forgotten action does not. We argue that this result has important implications for a long-running debate about the nature of responsible agency. (shrink)

Judgments of blame for others are typically sensitive to what an agent knows and desires. However, when people act negligently, they do not know what they are doing and do not desire the outcomes of their negligence. How, then, do people attribute blame for negligent wrongdoing? We propose that people attribute blame for negligent wrongdoing based on perceived mental control, or the degree to which an agent guides their thoughts and attention over time. To acquire information about others’ mental control, (...) people self-project their own perceived mental control to anchor third-personal judgments about mental control and concomitant responsibility for negligent wrongdoing. In four experiments (N = 841), we tested whether perceptions of mental control drive third-personal judgments of blame for negligent wrongdoing. Study 1 showed that the ease with which people can counterfactually imagine an individual being non-negligent mediated the relationship between judgments of control and blame. Studies 2a and 2b indicated that perceived mental control has a strong effect on judgments of blame for negligent wrongdoing and that first-personal judgments of mental control are moderately correlated with third-personal judgments of blame for negligent wrongdoing. Finally, we used an autobiographical memory manipulation in Study 3 to make personal episodes of forgetfulness salient. Participants for whom past personal episodes of forgetfulness were made salient judged negligent wrongdoers less harshly compared to a control group for whom past episodes of negligence were not salient. Collectively, these findings suggest that first-personal judgments of mental control drive third-personal judgments of blame for negligent wrongdoing and indicate a novel role for counterfactual thinking in the attribution of responsibility. (shrink)

Can an AGI create a more intelligent AGI? Under idealized assumptions, for a certain theoretical type of intelligence, our answer is: “Not without outside help”. This is a paper on the mathematical structure of AGI populations when parent AGIs create child AGIs. We argue that such populations satisfy a certain biological law. Motivated by observations of sexual reproduction in seemingly-asexual species, the Knight-Darwin Law states that it is impossible for one organism to asexually produce another, which asexually produces another, and (...) so on forever: that any sequence of organisms (each one a child of the previous) must contain occasional multi-parent organisms, or must terminate. By proving that a certain measure (arguably an intelligence measure) decreases when an idealized parent AGI single-handedly creates a child AGI, we argue that a similar Law holds for AGIs. (shrink)

We define a notion of the intelligence level of an idealized mechanical knowing agent. This is motivated by efforts within artificial intelligence research to define real-number intelligence levels of compli- cated intelligent systems. Our agents are more idealized, which allows us to define a much simpler measure of intelligence level for them. In short, we define the intelligence level of a mechanical knowing agent to be the supremum of the computable ordinals that have codes the agent knows to be codes (...) of computable ordinals. We prove that if one agent knows certain things about another agent, then the former necessarily has a higher intelligence level than the latter. This allows our intelligence no- tion to serve as a stepping stone to obtain results which, by themselves, are not stated in terms of our intelligence notion (results of potential in- terest even to readers totally skeptical that our notion correctly captures intelligence). As an application, we argue that these results comprise evidence against the possibility of intelligence explosion (that is, the no- tion that sufficiently intelligent machines will eventually be capable of designing even more intelligent machines, which can then design even more intelligent machines, and so on). (shrink)

Legg and Hutter, as well as subsequent authors, considered intelligent agents through the lens of interaction with reward-giving environments, attempting to assign numeric intelligence measures to such agents, with the guiding principle that a more intelligent agent should gain higher rewards from environments in some aggregate sense. In this paper, we consider a related question: rather than measure numeric intelligence of one Legg- Hutter agent, how can we compare the relative intelligence of two Legg-Hutter agents? We propose an elegant answer (...) based on the following insight: we can view Legg-Hutter agents as candidates in an election, whose voters are environments, letting each environment vote (via its rewards) which agent (if either) is more intelligent. This leads to an abstract family of comparators simple enough that we can prove some structural theorems about them. It is an open question whether these structural theorems apply to more practical intelligence measures. (shrink)

In this paper I provide a novel argument for scientific realism. In contrast to most recent defenses of SR, my defense of SR does not rely on the no-miracles argument. Instead, I take a more unconventional approach: I focus on the different kinds of justification available to different individuals in relation to different kinds of propositions. I maintain that this alternative focus shows that most people are warranted in believing many propositions about unobservables. The paper is divided into three main (...) sections. In the first, I rehearse the main moves in the recent debate about SR. In the second, I argue that the discussion in section one enables us to see that most of the arguments in the recent debate about SR mistake their target: instead of being about SR, they are about meta-SR. I argue that what I call the JJ-principle should be rejected and, further, that if the JJ-principle is rejected, then meta-SR may be cleaved from SR. This enables me to advance to a position I call thin realism in the third and final section of the paper. (shrink)

In this paper I look at the connection between willing and believing for Kant’s and Kantian ethics. I argue that the two main formulations of the categorical imperative are relativized to agents according to their beliefs. I then point out three different ways in which Kant or a present-day Kantian might defend this position. I conclude with some remarks about the contrast between Kant’s legal theory and his ethical theory.

Can an agent's intelligence level be negative? We extend the Legg-Hutter agent-environment framework to include punishments and argue for an affirmative answer to that question. We show that if the background encodings and Universal Turing Machine (UTM) admit certain Kolmogorov complexity symmetries, then the resulting Legg-Hutter intelligence measure is symmetric about the origin. In particular, this implies reward-ignoring agents have Legg-Hutter intelligence 0 according to such UTMs.

Perdurantists think of continuants as mereological sums of stages from different times. This view of persistence would force us to drop the idea that there is genuine change in the world. By exploiting a presentist metaphysics, Brogaard proposed a theory, called presentist four-dimensionalism, that aims to reconcile perdurantism with the idea that things undergo real change. However, her proposal commits us to reject the idea that stages must exist in their entirety. Giving up the tenet that all the stages are (...) equally real could be a price that perdurantists are unwilling to pay. I argue that Kit Fine ’s fragmentalism provides us with the tools to combine a presentist metaphysics with a perdurantist theory of persistence without giving up the idea that reality is constituted by more than purely present stages. (shrink)

This essay argues that reparations for wrongs by one's ancestors can be justified. Differential benefits to those descended from victims of one's ancestors is discrimination which can be justified by one's right to be partial to one's ancestors, doing what they, with clearer thinking, would have done--namely compensating their victims. So, while there is no obligation to discriminate, one has a right to, in virtue of one's partiality towards one's ancestors.

My primary target in this paper is a puzzle that emerges from the conjunction of several seemingly innocent assumptions in action theory and the metaphysics of moral responsibility. The puzzle I have in mind is this. On one widely held account of moral responsibility, an agent is morally responsible only for those actions or outcomes over which that agent exercises control. Recently, however, some have cited cases where agents appear to be morally responsible without exercising any control. This leads some (...) to abandon the control-based account of responsibility and replace it with an alternative account. It leads others to deny the intuition that agents are responsible in these troublesome cases. After outlining the account of moral responsibility I have in mind, I look at some of the arguments made against the viability of this theory. I show that there are conceptual resources for salvaging the control account, focusing in particular on the nature of vigilance. I also argue that there is empirical data that supports the control account so conceived. (shrink)

In this paper, I will argue that there is a version of possibilism—inspired by the modal analogue of Kit Fine’s fragmentalism—that can be combined with a weakening of actualism. The reasons for analysing this view, which I call Modal Fragmentalism, are twofold. Firstly, it can enrich our understanding of the actualism/possibilism divide, by showing that, at least in principle, the adoption of possibilia does not correspond to an outright rejection of the actualist intuitions. Secondly, and more specifically, it can enrich (...) our understanding of concretism, by proving that, at least in principle, the idea that objects have properties in an absolute manner is compatible with transworld identity. (shrink)

We present a game mechanic called pseudo-visibility for games inhabited by non-player characters (NPCs) driven by reinforcement learning (RL). NPCs are incentivized to pretend they cannot see pseudo-visible players: the training environment simulates an NPC to determine how the NPC would act if the pseudo-visible player were invisible, and penalizes the NPC for acting differently. NPCs are thereby trained to selectively ignore pseudo-visible players, except when they judge that the reaction penalty is an acceptable tradeoff (e.g., a guard might accept (...) the penalty in order to protect a treasure because losing the treasure would hurt even more). We describe an RL agent transformation which allows RL agents that would not otherwise do so to perform some limited self-reflection to learn the training environments in question. (shrink)

The Gamer’s Dilemma consists of three intuitively plausible but conflicting assertions: (i) Virtual murder is morally permissible. (ii) Virtual child molestation is morally forbidden. (iii) There is no relevant moral difference between virtual murder and virtual child molestation in computer games. Numerous attempts to resolve (or dissolve) the Gamer’s Dilemma line the field of computer game ethics. Mostly, the phenomenon is approached using expressivist argumentation: Reprehensible virtual actions express something immoral in their performance but are not immoral by themselves. Consequentialists, (...) on the other hand, claim that the immorality of virtual actions arises from their harmful consequences. I argue that both approaches have serious difficulties meeting the moral challenge posed by the Gamer’s Dilemma. They tend to confuse the morality of in-game actions either with the morality of their real-world counterparts or with the morality of games as objects. Following this critical analysis, I will develop a Kantian argument and defend it against two objections. So far, deontological responses to the Gamer’s Dilemma have been sought in vain. Yet, with Kant, its moral challenge can be met by looking at the gamer’s reasons. From this perspective, the Gamer’s Dilemma is based on a false assumption: the moral status of gaming acts does not derive from a normative equation with their real-world counterparts but only from their justifications. (shrink)

This paper examines the interplay of semantics and pragmatics within the domain of film. Films are made up of individual shots strung together in sequences over time. Though each shot is disconnected from the next, combinations of shots still convey coherent stories that take place in continuous space and time. How is this possible? The semantic view of film holds that film coherence is achieved in part through a kind of film language, a set of conventions which govern the relationships (...) between shots. In this paper, we develop and defend a new version of the semantic view. We articulate it for a pair of conventions that govern spatial relations between viewpoints. One such rule is already well-known; sometimes called the "180° Rule," we term it the X-Constraint; to this we add a previously unrecorded rule, the T-Constraint. As we show, both have the effect, in different ways, of limiting the way that viewpoint can shift through space from shot to shot over the course of a film sequence. Such constraints, we contend, are analogous to relations of discourse coherence that are widely recognized in the linguistic domain. If film is to have a language, it is a language made up of rules like these. (shrink)

Mind wandering is typically operationalized as task-unrelated thought. Some argue for the need to distinguish between unintentional and intentional mind wandering, where an agent voluntarily shifts attention from task-related to task-unrelated thoughts. We reveal an inconsistency between the standard, task-unrelated thought definition of mind wandering and the occurrence of intentional mind wandering (together with plausible assumptions about tasks and intentions). This suggests that either the standard definition of mind wandering should be rejected or that intentional mind wandering is an incoherent (...) category. Solving this puzzle is critical for advancing theoretical frameworks of mind wandering. (shrink)

Philosophical work in the ethics of thought focuses heavily on the ethics of belief, with, in recent years, a particular emphasis on the ways in which we might wrong other people either through our beliefs about them, or our failure to believe what they tell us. Yet in our own lives we often want not merely to be believed, but rather to be understood by others. What does it take to understand another person? In this paper, I provide an account (...) of interpersonal understanding that speaks to this widespread human desire to be understood by others. On the view I defend, to be understood by another person is for them to see our motivating reasons as justifying reasons, whether or not they actually take our reasons to have that normative force. I then provide an explanation of why such understanding is valuable in our lives, which emphasizes how being understood by another person is a way of being more fully with them. (shrink)

After generalizing the Archimedean property of real numbers in such a way as to make it adaptable to non-numeric structures, we demonstrate that the real numbers cannot be used to accurately measure non-Archimedean structures. We argue that, since an agent with Artificial General Intelligence (AGI) should have no problem engaging in tasks that inherently involve non-Archimedean rewards, and since traditional reinforcement learning rewards are real numbers, therefore traditional reinforcement learning probably will not lead to AGI. We indicate two possible ways (...) traditional reinforcement learning could be altered to remove this roadblock. (shrink)

This article challenges the association between realist methodology and ideals of legitimacy. Many who seek a more “realistic” or “political” approach to political theory replace the familiar orientation towards a state of justice with a structurally similar orientation towards a state of legitimacy. As a result, they fail to provide more reliable practical guidance, and wrongly displace radical demands. Rather than orienting action towards any state of affairs, I suggest that a more practically useful approach to political theory would directly (...) address judgments, by comparing the concrete possibilities for action faced by real political actors. (shrink)

Time and modality show remarkable similarities. Each of the most discussed theories in philosophy of time finds an analogous counterpart in modal metaphysics, suggesting that the parallel between the two notions is metaphysically deep. This chapter offers a brief overview of their analogies. Section 1 addresses the analogy between presentism and actualism. Section 2 explores the analogy between non-presentist theories and possibilism. Section 3 discusses the analogy between temporal and modal persistence.

Leibniz’s views on modality are among the most discussed by his interpreters. Although most of the discussion has focused on Leibniz’s analyses of modality, this essay explores Leibniz’s grounding of modality. Leibniz holds that possibilities and possibilia are grounded in the intellect of God. Although other early moderns agreed that modal truths are in some way dependent on God, there were sharp disagreements surrounding two distinct questions: (1) On what in God do modal truths and modal truth-makers depend? (2) What (...) is the manner(s) of dependence by which modal truths and modal truth-makers depend on God? Very roughly, Leibniz’s own answers are: (1) God’s intellect and (2) a form of ontological dependence. The essay first distinguishes Leibniz’s account from two nearby (and often misunderstood) alternatives found in Descartes and Spinoza. It then examines Leibniz’s theory in detail, showing how, on his account, God’s ideas provide both truth-makers for possibilities and necessities and an ontological foothold for those truth-makers, thereby explaining modal truths. Along the way, it suggests several refinements and possible amendments to Leibniz’s grounding thesis. It then defends Leibniz against a pair of recent objections by Robert Merrihew Adams and Andrew Chignell that invoke the early work of Kant. I conclude that whereas Leibniz’s alternative avoids collapsing into yet another form of Spinozism, the alternatives proposed by Adams, Chignell, and the early Kant do not. (shrink)

I provide a theory of the metaphysical foundations of identity: an account what grounds facts of the form a=b. In particular, I defend the claim that indiscernibility grounds identity. This is typically rejected because it is viciously circular; plausible assumptions about the logic of ground entail that the fact that a=b partially grounds itself. The theory I defend is immune to this circularity.

The verb ‘to know’ can be used both in ascriptions of propositional knowledge and ascriptions of knowledge of acquaintance. In the formal epistemology literature, the former use of ‘know’ has attracted considerable attention, while the latter is typically regarded as derivative. This attitude may be unsatisfactory for those philosophers who, like Russell, are not willing to think of knowledge of acquaintance as a subsidiary or dependent kind of knowledge. In this paper we outline a logic of knowledge of acquaintance in (...) which ascriptions like ‘Mary knows Smith’ are regarded as formally interesting in their own right, remaining neutral on their relation to ascriptions of propositional knowledge. The resulting logical framework, which is based on Hintikka’s modal approach to epistemic logic, provides a fresh perspective on various issues and notions at play in the philosophical debate on acquaintance. (shrink)

Discussions of Aristotle’s Metaphysics Z tend to treat it either as an independent treatise on substance and essence or as preliminary to the main conclusions of the Metaphysics. I argue instead that Z is central to Aristotle’s project of first philosophy in the Metaphysics: the first philosopher seeks the first causes of being qua being, especially substances, and in Z, Aristotle establishes that essences or forms are the first causes of being of perceptible substances. I also argue that the centrality (...) of Z to first philosophy is compatible with its status as theology. (shrink)

We construct a machine that knows its own code, at the price of not knowing its own factivity.

According to the attentional resources account, mind wandering (or “task-unrelated thought”) is thought to compete with a focal task for attentional resources. Here, we tested two key predictions of this account: First, that mind wandering should not interfere with performance on a task that does not require attentional resources; second, that as task requirements become automatized, performance should improve and depth of mind wandering should increase. Here, we used a serial reaction time task with implicit- and explicit-learning groups to test (...) these predictions. Providing novel evidence for the attentional resource account’s first prediction, results indicated that depth of mind wandering was negatively associated with learning in the explicit, but not the implicit, group, indicating that mind wandering is associated with impaired explicit, but not implicit, learning. Corroborating the attention resource account’s second prediction, we also found that, overall, performance improved while at the same time depth of mind wandering increased. From an implicit learning perspective, these results are consistent with the claim that explicit learning is impaired under attentional load, but implicit learning is not. (shrink)

Are we ever morally permitted to do what is morally wrong? It seems intuitive that we are, but evidence for dissociations among judgment of permissibility and wrongness are relatively scarce. Across 4 experiments (N = 1,438), we show that people judge that some behaviors can be morally wrong and permissible. The dissociations arise because these judgments track different morally relevant aspects of everyday moral encounters. Judgments of individual rights predicted permissibility but not wrongness, while character assessment predicted wrongness but not (...) permissibility. These findings suggest a picture in which moral evaluation is granular enough to express reasoning about different types of normative considerations, notably the possibility that people can exercise their rights in morally problematic ways. (shrink)

Actors, undercover investigators, and readers of fiction sometimes report “losing themselves” in the characters they imitate or read about. They speak of “taking on” or “assuming” the beliefs, thoughts, and feelings of someone else. I offer an account of this strange but familiar phenomenon—what I call imaginative transportation.

In response to the spread of COVID-19, governments across the world have, with very few exceptions, enacted sweeping restrictive lockdown policies that impede citizens’ freedom to move, work, and assemble. This paper critically responds to the central arguments for restrictive lockdown legislation. We build our critique on the following assumption: public policy that enjoys virtually unanimous support worldwide should be justified by uncontroversial moral principles. We argue that that the virtually unanimous support in favor of restrictive lockdowns is not adequately (...) justified by the arguments given in favor of them. Importantly, this is not to say that states ought not impose restrictive lockdown measures, but rather that the extent of the acceptance of these measures is not proportionate to the strength of the arguments for lockdowns. -/- We begin by exploring the case for restrictive lockdowns. We first argue that several of the principles that are used to justify the lockdowns yield unexpectedly revisionary implications for other political problems that many would be unwilling to accept. We then outline what we consider the strongest argument for a lockdown—namely, that its net welfare benefits are great enough to defeat the moral presumption against restricting citizens’ civil liberties to move, work, and assemble. However, we give a number of reasons for doubting that the lockdown’s net welfare benefits are, in fact, sufficiently high to defeat the presumption against it. (shrink)

In 2011, Hibbard suggested an intelligence measure for agents who compete in an adversarial sequence prediction game. We argue that Hibbard’s idea should actually be considered as two separate ideas: first, that the intelligence of such agents can be measured based on the growth rates of the runtimes of the competitors that they defeat; and second, one specific (somewhat arbitrary) method for measuring said growth rates. Whereas Hibbard’s intelligence measure is based on the latter growth-rate-measuring method, we survey other methods (...) for measuring function growth rates, and exhibit the resulting Hibbard-like intelligence measures and taxonomies. Of particular interest, we obtain intelligence taxonomies based on Big-O and Big-Theta notation systems, which taxonomies are novel in that they challenge conventional notions of what an intelligence measure should look like. We discuss how intelligence measurement of sequence predictors can indirectly serve as intelligence measurement for agents with Artificial General Intelligence (AGIs). (shrink)

In recent years, the number of studies examining mind wandering has increased considerably, and research on the topic has spread widely across various domains of psychological research. Although the term “mind wandering” has been used to refer to various cognitive states, researchers typically operationalize mind wandering in terms of “task-unrelated thought” (TUT). Research on TUT has shed light on the various task features that require people’s attention, and on the consequences of task inattention. Important methodological and conceptual complications do persist, (...) however, in current investigations of TUT. As we argue, these complications may be dampening the development of a more nuanced scientific account of TUT. Here, we outline three of the more prominent methodological and conceptual complications in the literature on TUT, and we discuss potential directions for researchers to take as they move forward in their investigations of TUT. (shrink)

Philosophy &Public Affairs, Volume 52, Issue 3, Page 327-357, Summer 2024.

In recent years evolutionary psychologists have developed and defended the Massive Modularity Hypothesis, which maintains that our cognitive architecture—including the part that subserves ‘central processing’ —is largely or perhaps even entirely composed of innate, domain-specific computational mechanisms or ‘modules’. In this paper I argue for two claims. First, I show that the two main arguments that evolutionary psychologists have offered for this general architectural thesis fail to provide us with any reason to prefer it to a competing picture of the (...) mind which I call the Library Model of Cognition. Second, I argue that this alternative model is compatible with the central theoretical and methodological commitments of evolutionary psychology. Thus I argue that, at present, the endorsement of the Massive Modularity Hypothesis by evolutionary psychologists is both unwarranted and unmotivated. (shrink)

A fundamental question asked in modal logic is whether a given theory is consistent. But consistent with what? A typical way to address this question identifies a choice of background knowledge axioms (say, S4, D, etc.) and then shows the assumptions codified by the theory in question to be consistent with those background axioms. But determining the specific choice and division of background axioms is, at least sometimes, little more than tradition. This paper introduces generic theories for propositional modal logic (...) to address consistency results in a more robust way. As building blocks for background knowledge, generic theories provide a standard for categorical determinations of consistency. We argue that the results and methods of this paper help to elucidate problems in epistemology and enjoy sufficient scope and power to have purchase on problems bearing on modalities in judgement, inference, and decision making. (shrink)

One popular theory of moral responsibility locates responsible agency in exercises of control. These control-based theories often appeal to tracing to explain responsibility in cases where some agent is intuitively responsible for bringing about some outcome despite lacking direct control over that outcome’s obtaining. Some question whether control-based theories are committed to utilizing tracing to explain responsibility in certain cases. I argue that reflecting on certain kinds of negligence shows that tracing plays an ineliminable role in any adequate control-based theory (...) of responsibility. (shrink)

I argue that metaethicists should be concerned with two kinds of alienation that can result from theories of normativity: alienation between an agent and her reasons, and alienation between an agent and the concrete others with whom morality is principally concerned. A theory that cannot avoid alienation risks failing to make sense of central features of our experience of being agents, in whose lives normativity plays an important role. The twin threats of alienation establish two desiderata for theories of normativity; (...) however, I argue that they are difficult to jointly satisfy. (shrink)

One shortcoming of the chain rule is that it does not iterate: it gives the derivative of f(g(x)), but not (directly) the second or higher-order derivatives. We present iterated differentials and a version of the multivariable chain rule which iterates to any desired level of derivative. We first present this material informally, and later discuss how to make it rigorous (a discussion which touches on formal foundations of calculus). We also suggest a finite calculus chain rule (contrary to Graham, Knuth (...) and Patashnik's claim that "there's no corresponding chain rule of finite calculus"). (shrink)

We study the structure of families of theories in the language of arithmetic extended to allow these families to refer to one another and to themselves. If a theory contains schemata expressing its own truth and expressing a specific Turing index for itself, and contains some other mild axioms, then that theory is untrue. We exhibit some families of true self-referential theories that barely avoid this forbidden pattern.

In this paper, I confront Parfit’s Mixed Maxims Objection. I argue that recent attempts to respond to this objection fail, and I argue that their failure is compounded by the failure of recent attempts to show how the Formula of Universal Law can be used to demarcate the category of obligatory maxims. I then set out my own response to the objection, drawing on remarks from Kant’s Metaphysics of Morals for inspiration and developing a novel account of how the Formula (...) of Universal Law can be employed to determine the deontic status of action tokens, action types, and maxims. (shrink)

We propose that, for the purpose of studying theoretical properties of the knowledge of an agent with Artificial General Intelligence (that is, the knowledge of an AGI), a pragmatic way to define such an agent’s knowledge (restricted to the language of Epistemic Arithmetic, or EA) is as follows. We declare an AGI to know an EA-statement φ if and only if that AGI would include φ in the resulting enumeration if that AGI were commanded: “Enumerate all the EA-sentences which you (...) know.” This definition is non-circular because an AGI, being capable of practical English communication, is capable of understanding the everyday English word “know” independently of how any philosopher formally defines knowledge; we elaborate further on the non-circularity of this circular-looking definition. This elegantly solves the problem that different AGIs may have different internal knowledge definitions and yet we want to study knowledge of AGIs in general, without having to study different AGIs separately just because they have separate internal knowledge definitions. Finally, we suggest how this definition of AGI knowledge can be used as a bridge which could allow the AGI research community to import certain abstract results about mechanical knowing agents from mathematical logic. (shrink)

Inspired by recent progress in multi-agent Reinforcement Learning (RL), in this work we examine the collective intelligent behaviour of theoretical universal agents by introducing a weighted mixture operation. Given a weighted set of agents, their weighted mixture is a new agent whose expected total reward in any environment is the corresponding weighted average of the original agents' expected total rewards in that environment. Thus, if RL agent intelligence is quantified in terms of performance across environments, the weighted mixture's intelligence is (...) the weighted average of the original agents' intelligences. This operation enables various interesting new theorems that shed light on the geometry of RL agent intelligence, namely: results about symmetries, convex agent-sets, and local extrema. We also show that any RL agent intelligence measure based on average performance across environments, subject to certain weak technical conditions, is identical (up to a constant factor) to performance within a single environment dependent on said intelligence measure. (shrink)

Ever since Hegel famously objected to Kant’s universalization formulations of the Categorical Imperative on the grounds that they are nothing but an empty formalism, there has been continual debate about whether he was right. In this paper I argue that Hegel got things at least half-right: I argue that even if negative duties (duties to omit actions or not to adopt maxims) can be derived from the universalization formulations, positive duties (duties to commit actions or to adopt maxims) cannot. The (...) paper is divided into three main sections. In the first, I set out the procedures generally accepted among Kantians for deriving positive duties from the universalization formulations. In the second, I set out the arguments from section 1 in more detail and explain why they do not work. In the third, I examine a strategy that might be used to supplement the arguments from section 2 and I argue that it also does not work. (shrink)