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)

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)

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)

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)

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)

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)

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)

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)

Mind wandering is a pervasive feature of subjective experience. But why does the mind tend to wriggle about rather than always staying focused? To answer this question, this paper defends the claim that mind wandering consists in task-unrelated thought. Despite being the standard view of mind wandering in cognitive psychology, there has been no systematic elaboration or defense of the task-unrelated thought view of mind wandering. Here, I argue for the task-unrelated thought view by showing how mind wandering reflects a (...) distinctive form of non-vigilant thinking. When the relationship between mind wandering and vigilance is clarified, several objections to the task-unrelated thought view can be defused. Not only does this provide a novel defense of the task-unrelated thought view of mind wandering, but it also presents an account of mind wandering that is compatible with a naturalistic account of subjectivity. (shrink)

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)

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)

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)

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)

In their thought-provoking paper, Legg and Hutter consider a certain abstrac- tion of an intelligent agent, and define a universal intelligence measure, which assigns every such agent a numerical intelligence rating. We will briefly summarize Legg and Hutter’s paper, and then give a tongue-in-cheek argument that if one’s goal is to become more intelligent by cultivating music appreciation, then it is bet- ter to use classical music (such as Bach, Mozart, and Beethoven) than to use more recent pop music. The (...) same argument could be adapted to other media: books beat films, card games beat first-person shooters, parables beat dissertations, etc. We leave it to the reader to decide whether this argument tells us something about classical music, something about Legg-Hutter intelligence, or something about both. (shrink)

Reinhardt’s conjecture, a formalization of the statement that a truthful knowing machine can know its own truthfulness and mechanicalness, was proved by Carlson using sophisticated structural results about the ordinals and transfinite induction just beyond the first epsilon number. We prove a weaker version of the conjecture, by elementary methods and transfinite induction up to a smaller ordinal.

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)

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)

Traditionally, logic has been the dominant formal method within philosophy. Are logical methods still dominant today, or have the types of formal methods used in philosophy changed in recent times? To address this question, we coded a sample of philosophy papers from the late 2000s and from the late 2010s for the formal methods they used. The results indicate that the proportion of papers using logical methods remained more or less constant over that time period but the proportion of papers (...) using probabilistic methods was approximately three times higher in the late 2010s than it was in the late 2000s. Further analyses explored this change by looking more closely at specific methods, specific levels of technical engagement, and specific subdisciplines within philosophy. These analyses indicate that the increasing proportion of papers using probabilistic methods was pervasive, not confined to particular probabilistic methods, levels of sophistication, or subdisciplines. (shrink)

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.

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)

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)

In this paper I argue that there would be no obligatory maxims if the only standards for assessing maxims were Kant’s universalizability tests. The paper is divided into five sections. In the first, I clarify my thesis: I define my terms and disambiguate my thesis from other related theses for which one might argue. In the second, I confront the view that says that if a maxim passes the universalizability tests, then there is a positive duty to adopt that maxim; (...) I also confront a close relative of this view. In the third, I confront the view that says that if a maxim does not pass the universalizability tests, then there is a positive duty to adopt the contradictory of that maxim. In the fourth, I confront two variations of the view that says that if a maxim does not pass the universalizability tests and an agent is deliberating about the action in the maxim, then the agent has a positive duty to adopt the contrary of that maxim. In the fifth, I confront the view that says that if an agent has adopted a maxim of ends, then the agent has a positive duty to universalize that end. I then wrap up the paper with some concluding remarks. (shrink)

Fragmentalism allows incompatible facts to constitute reality in an absolute manner, provided that they fail to obtain together. In recent years, the view has been extensively discussed, with a focus on its formalisation in model-theoretic terms. This paper focuses on three formalisations: Lipman’s approach, the subvaluationist interpretation, and a novel view that has been so far overlooked. The aim of the paper is to explore the application of these formalisations to the alethic modal case. This logical exploration will allow us (...) to study (i) cases of metaphysical incompatibility between modal facts and (ii) cases of modal dialetheias. In turn, this will enrich our understanding of the role of impossibility in the fragmentalist framework. (shrink)

This paper develops an account of normative validity and illustrates it through poverty measures. Many ideas addressed below are legatees of Anna Alexandrova’s reflections on what she called “value-aptness” in measuring well-being. To my knowledge, she introduced the term “normative validity” (Alexandrova, 2017: 151). Still, my goal is to address normative validity in a broader context than she did, highlighting its significance not only for well-being but also for other concepts, particularly poverty. I will further discuss how normative validity can (...) provide deeper insights into an important debate in poverty measurement: that between normative-driven approaches like Amartya Sen’s and data-driven ones like Peter Townsend’s. (shrink)

I provide an analysis of sentences of the form ‘To be F is to be G’ in terms of exact truth-maker semantics—an approach that identifies the meanings of sentences with the states of the world directly responsible for their truth-values. Roughly, I argue that these sentences hold just in case that which makes something F is that which makes it G. This approach is hyperintensional, and possesses desirable logical and modal features. These sentences are reflexive, transitive and symmetric, and, if (...) they are true, then they are necessarily true, and it is necessary that all and only Fs are Gs. I close by defining an asymmetric and irreflexive notion of analysis in terms of the reflexive and symmetric one. (shrink)

In Wilmot-Smith’s recent “Law, ‘Ought’, and ‘Can’,” he argues that legal obligation does not imply ability. In this short reply, I show that Wilmot-Smith’s arguments do not withstand critical scrutiny. In section 1, I attack Wilmot-Smith’s argument for the claim that allowing for impossible obligations makes for a better legal system, and I introduce positive grounds for thinking otherwise. In section 2, I show that, even if Wilmot-Smith had established that impossible obligations make for a better legal system, his subsequent (...) attack on OIC fails. (shrink)

In this paper I defend the traditional interpretations of Kant’s Formula of a Law of Nature from recent attacks leveled by Faviola Rivera-Castro, James Furner, Ido Geiger, Pauline Kleingeld and Sven Nyholm. After a short introduction, the paper is divided into four main sections. In the first, I set out the basics of the three traditional interpretations, the Logical Contradiction Interpretation, the Practical Contradiction Interpretation and the Teleological Contradiction Interpretation. In the second, I examine the work of Geiger, Kleingeld and (...) Nyholm: these three commentators reject the traditional interpretations entirely, but I argue that this rejection is ill-founded. In the third and fourth, I take a detailed look at Furner’s work, work in which he seeks to revise (rather than reject) the traditional interpretations. I argue that, despite his more modest aims, Furner’s revision is also ill-founded. (shrink)

In this paper, I argue that Kant gives a philosophically plausible derivation of the general duty of benevolence and that this derivation can be used to show how to derive other general duties of commission with the universalizability tests.The paper is divided into four sections. In the first, I explain Kant’s notion of a general duty. In the second, I introduce the universalizability tests. In the third, I examine and argue against an account in the secondary literature of how to (...) derive general duties from these tests. In the fourth, I look at Kant’s derivation of the duty of benevolence in the Metaphysics of Morals, and I suggest how this reasoning can be extended to other duties. (shrink)

Super-Humeans argue that the most parsimonious ontology of the natural world compatible with our best physical theories consists exclusively of particles and the distance relations between them. This paper argues by contrast that Super-Humean reduction goes insufficiently far, by showing there to be a more parsimonious ontology compatible with physics: Ultimate-Humeanism. This novel view posits an ontology consisting solely of the particles and distance relations required for the existence of a single brain. Super-Humeans impose conditions on what counts as an (...) ontology of the natural world to avoid their view slipping into this kind of ontology, but these conditions are arbitrarily imposed and once this is exposed, Super-Humeans face a dilemma. Either they can embrace Ultimate-Humeanism as the minimal ontology of the natural world compatible with physics, or (more likely) they can rethink the methodology that got them there. Overall, this paper argues that Super-Humeanism currently lacks principled motivation, outlines a framework for naturalistic ontological reductions, and exposes the consequences of unchecked adherence to a simplicity-driven methodology. (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)

Can you find an xy-equation that, when graphed, writes itself on the plane? This idea became internet-famous when a Wikipedia article on Tupper’s self-referential formula went viral in 2012. Under scrutiny, the question has two flaws: it is meaningless (it depends on fonts) and it is trivial. We fix these flaws by formalizing the problem.

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)

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.

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)

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)

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)

Experimental work on free will typically relies on deterministic stimuli to elicit judgments of free will. We call this the Vignette-Judgment model. We outline a problem with research based on this model. It seems that people either fail to respond to the deterministic aspects of vignettes when making judgments or that their understanding of determinism differs from researcher expectations. We provide some empirical evidence for this claim. In the end, we argue that people seem to lack facility with the concept (...) of determinism, which calls into question the validity of experimental work operating under the Vignette-Judgment model. We also argue that alternative experimental paradigms are unlikely to elicit judgments that are philosophically relevant to questions about the metaphysics of free will. (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)

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)

A biologically unavoidable sequence is an infinite gender sequence which occurs in every gendered, infinite genealogical network satisfying certain tame conditions. We show that every eventually periodic sequence is biologically unavoidable (this generalizes König's Lemma), and we exhibit some biologically avoidable sequences. Finally we give an application of unavoidable sequences to cellular automata.

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)

Josh is a typical 27-year-old in a career that he enjoys and a successful marriage. Josh begins to exhibit the symptoms of a manic episode. He is soon diagnosed with bipolar disorder. While non-manic, Josh’s preferences are typical. While manic, his preferences change dramatically. He quits his job, cheats on his partner, and squanders his savings. These are behaviors that Josh, when non-manic (euthymic), would never agree to. When Josh returns to a euthymic state, he regrets these decisions. Should those (...) close to Josh have prevented him from making these decisions, or does his competence to decide persist despite his acute mania? In this paper, I examine the connections be-tween bipolar disorder and consent. I defend the view that many (although far from all) individuals with bipolar disorder are competent to consent to a wide variety of things when they are in a manic state. This means that mania should not be presumed to undermine competence in clinical settings. -/- I have several goals in this paper. I want to bring philosophy to bear on the connection between consent and bipolar disorder. Additionally, I intend this paper to contribute to the general debate about the conditions of informed consent. Bipolar disorder presents novel challenges to existing conceptions of competence to consent which require stable core of values for an agent to be competent. For example, Buchanan and Brock endorse such a view. In showing that shifting values do not undermine the competence of a person experiencing acute mania, I show that the aforementioned views of competence are false. Overall, this paper makes substantive contributions to the debate about competence to consent and presents the first sustained philosophical treatment of consent among people with bipolar disorder. (shrink)

Die Frage nach der Ethik in Computerspielen fragt im Kern danach, wie Computerspiele moralische Fragen aushandeln können. Ausgangspunkt ist die folgende Beobachtung: Situationen und Tätigkeiten, die in Wirklichkeit¹ moralisch brisant wären, sind seit jeher ein beliebter Gegenstand von Computerspielen. Seien es spielerische Umsetzungen von Kriegssituationen wie in den Reihen Call of Duty oder Metal Gear Solid, seien es heftige körperliche Auseinandersetzungen wie in Tekken oder auch in Super Smash Bros., seien es bleihaltige Abenteuer wie in Uncharted oder Tomb Raider – (...) in zahlreichen Fällen wie diesen führen wir beim Spielen Handlungen aus, die wir, wenn wir sie in Wirklichkeit durchführten, für... (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.

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)

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)