Alexander Livingston’s fascinating examination of William James’ work in Damn Great Empires!: William James and the Politics of Pragmatism argues that “William James was an important and innovative theorist of politics.” Livingston claims that James’ anti-imperialist arguments in the letters, editorials, and speeches collected in the Nachlass are an important part of James’ philosophical corpus that provides a critical lens through which the rest of James’ work can be fruitfully read. Though Livingston is not the first (...) to propose a political reexamination of James’ thought, his careful and systematic book-length work provides one of the strongest and most sustained arguments for a historical reinterpretation of James. In this review, I point out some of the strengths and limitations of Livingston's project. (shrink)

In this article, I reply to some criticisms of my book, Pragmatist Egalitarianism, offered by professors Robert Talisse, Susan Dieleman, and Alexander Livingston. Some of the major themes and questions I address include the following: How are conflicts between different egalitarian ideals best understood and addressed? Does the quest for equality have a fundamental locus, or are the different egalitarian variables I identify in the book, conceptually speaking, on an equal footing? What is the relationship between justice and (...) equality? How are feminist egalitarianism and Marxian egalitarianism best slotted into my distinction between “vertical” and “horizontal” egalitarianism? What does liberalism, problematic though it may sometimes be, have to contribute to the egalitarian project? (shrink)

Infinity exists as a concept but has no existence in actuality. For infinity to have existence in actuality either time or space have to already be infinite. Unless something is already infinite, the only way to become infinite is by an 'infinity leap' in an infinitely small moment, and this is not possible. Neither does infinitely small have an existence since anything larger than zero is not infinitely small. Therefore infinity has no existence in actuality.

Many philosophers of science are ontologically committed to a lush rainforest of special science entities ), but are often reticent about the criteria that determine which entities count as real. On the other hand, the metaphysics literature is much more forthcoming about such criteria, but often links ontological commitment to irreducibility. We argue that the irreducibility criteria are in tension with scientific realism: for example, they would exclude viruses, which are plausibly theoretically reducible and yet play a sufficiently important role (...) in scientific accounts of the world that they should be included in our ontology. In this paper, we show how the inhabitants of the rainforest can be inoculated against the eliminative threat of reduction: by demonstrating that they are emergent. According to our account, emergence involves a screening off condition as well as novelty. We go on to demonstrate that this account of emergence, which is compatible with theoretical reducibility, satisfies common intuitions concerning what should and shouldn't count as real: viruses are emergent, as are trouts and turkeys, but philosophically gerrymandered objects like trout-turkeys do not qualify. (shrink)

Beginning with the prevalent idea that creativity is the ability to make or do things having valuable novelty, the paper explores a variety of axiological and novelty conditions and defends an instrumental success condition. I discuss Robert K. Merton's distinction between 'originality' and 'priority', and Margaret Boden's similar distinction between historical and psychological creativity, as well as Thomas Reid's and Bruce Vermazen's remarks on relations between novelty and value.

Do we live in a computer simulation? I will present an argument that the results of a certain experiment constitute empirical evidence that we do not live in, at least, one type of simulation. The type of simulation ruled out is very specific. Perhaps that is the price one must pay to make any kind of Popperian progress.

This project is an investigation into the prospects for an antirealist theory of essence. Essentialism is the claim that at least some things have some of their properties essentially. Essentialist discourse includes claims such as “Socrates is essentially human”, and “Socrates is accidentally bearded”. Historically, there are two ways of interpreting essentialist discourse. I call these positions ‘modal essentialism’ and ‘neo-Aristotelian essentialism’. According to modal essentialism, for Socrates to be essentially human is for it to be necessary that he be (...) a human if he exists, and for Socrates to accidentally have a beard is for it to be contingent that Socrates has a beard if he exists. According to neo-Aristotelian essentialism, objects have definitions in something like the way words do. For Socrates to be essentially human but accidentally bearded is for it to be part of the definition of Socrates that he is human, but not part of that definition that he is bearded. I argue that both are susceptible to antirealist interpretation. This thesis sets about showing that this is the case. In Chapters One and Two I investigate neo-conventionalist theories of modality, in the hope of using such a position to develop an antirealist modal essentialism. In Chapter Three I discuss the debate between modal and neo-Aristotelian essentialism and conclude that it is by no means settled. In Chapter Four I develop an antirealist neo-Aristotelian essentialism based on the mechanism of one of the neo-conventionalist accounts of modality. In Chapter Five I argue that this account is in a better position to give an essentialist theory of necessity than its realist counterparts. I conclude that, regardless of whether one is a modal or neo-Aristotelian essentialist, antirealist essentialism is a viable theory of essence that is worthy of consideration in contemporary debate. (shrink)

Some contemporary discussion about the explanation of consciousness substantially recapitulates a decisive debate about reference, knowledge and justification from an earlier stage of the analytic tradition. In particular, I argue that proponents of a recently popular strategy for accounting for an explanatory gap between physical and phenomenal facts – the so-called “phenomenal concept strategy” – face a problem that was originally fiercely debated by Schlick, Carnap, and Neurath. The question that is common to both the older and the contemporary discussion (...) is that of how the presence or presentation of phenomenal experiences can play a role in justifying beliefs or judgments about them. This problem is, moreover, the same as what was classically discussed as the problem of acquaintance. Interestingly, both physicalist and non-physicalist proponents of the phenomenal concept strategy today face this problem. I consider briefly some recent attempts to solve it and conclude that, although it is prima facie very plausible that acquaintance exists, we have, as yet, no good account of it. (shrink)

A supplemental document for "Metalinguistic Gradability".

Discussion of the relevance of grounding to substantiveness, theory-choice, and “location problems” in metaphysics.

I propose an approach to liar and Curry paradoxes inspired by the work of Roger Swyneshed in his treatise on insolubles (1330-1335). The keystone of the account is the idea that liar sentences and their ilk are false (and only false) and that the so-called ''capture'' direction of the T-schema should be restricted. The proposed account retains what I take to be the attractive features of Swyneshed's approach without leading to some worrying consequences Swyneshed accepts. The approach and the resulting (...) logic (called ''Swynish Logic'') are non-classical, but are consistent and compatible with many elements of the classical picture including modus ponens, modus tollens, and double-negation elimination and introduction. It is also compatible with bivalence and contravalence. My approach to these paradoxes is also immune to an important kind of revenge challenge that plagues some of its rivals. (shrink)

Response to Gover (2015) on Trogdon and Livingston (2015) on artwork completion.

A supplemental document for "The Logic of Hyperlogic. Part A: Foundations".

In this paper, we argue that a distinction ought to be drawn between two ways in which a given world might be logically impossible. First, a world w might be impossible because the laws that hold at w are different from those that hold at some other world (say the actual world). Second, a world w might be impossible because the laws of logic that hold in some world (say the actual world) are violated at w. We develop a novel (...) way of modelling logical possibility that makes room for both kinds of logical impossibility. Doing so has interesting implications for the relationship between logical possibility and other kinds of possibility (for example, metaphysical possibility) and implications for the necessity or contingency of the laws of logic. (shrink)

Conventional wisdom has it that truth is always evaluated using our actual linguistic conventions, even when considering counterfactual scenarios in which different conventions are adopted. This principle has been invoked in a number of philosophical arguments, including Kripke’s defense of the necessity of identity and Lewy’s objection to modal conventionalism. But it is false. It fails in the presence of what Einheuser (2006) calls c-monsters, or convention-shifting expressions (on analogy with Kaplan’s monsters, or context-shifting expressions). We show that c-monsters naturally (...) arise in contexts, such as metalinguistic negotiations, where speakers entertain alternative conventions. We develop an expressivist theory—inspired by Barker (2002) and MacFarlane (2016) on vague predications and Einheuser (2006) on counterconventionals—to model these shifts in convention. Using this framework, we reassess the philosophical arguments that invoked the conventional wisdom. (shrink)

Can there be grounding without necessitation? Can a fact obtain wholly in virtue of metaphysically more fundamental facts, even though there are possible worlds at which the latter facts obtain but not the former? It is an orthodoxy in recent literature about the nature of grounding, and in first-order philosophical disputes about what grounds what, that the answer is no. I will argue that the correct answer is yes. I present two novel arguments against grounding necessitarianism, and show that grounding (...) contingentism is fully compatible with the various explanatory roles that grounding is widely thought to play. (shrink)

Near the end of 'Naming the Colours', Lewis (1997) makes an interesting claim about the relationship between linguistic and mental content; we are typically unable to read the content of a belief off the content of a sentence used to express that belief or vice versa. I call this view autonomism. I motivate and defend autonomism and discuss its importance in the philosophy of mind and language. In a nutshell, I argue that the different theoretical roles that mental and linguistic (...) content play suggest these kinds of content should be understood as sensitive to different things. (shrink)

In this paper, we analyse how GPS-based navigation systems are transforming some of our intellectual virtues and then suggest two strategies to improve our practices regarding the use of such epistemic tools. We start by outlining the two main approaches in virtue epistemology, namely virtue reliabilism and virtue responsibilism. We then discuss how navigation systems can undermine five epistemic virtues, namely memory, perception, attention, intellectual autonomy, and intellectual carefulness. We end by considering two possible interlinked ways of trying to remedy (...) this situation: [i] redesigning the epistemic tool to improve the epistemic virtues of memory, perception, and attention; and [ii] the cultivation of cognitive diligence for wayfinding tasks scaffolding intellectual autonomy and carefulness. (shrink)

ABSTRACT It has become standard to conceive of metalinguistic disagreement as motivated by a form of negotiation, aimed at reaching consensus because of the practical consequences of using a word with one content rather than another. This paper presents an alternative motive for expressing and pursuing metalinguistic disagreement. In using words with given criteria, we betray our location amongst social categories or groups. Because of this, metalinguistic disagreement can be used as a stage upon which to perform a social identity. (...) The ways in which metalinguistic disagreements motivated in this way diverge in character from metalinguistic negotiations are described, as are several consequences of the existence of metalinguistic disagreements motivated in this way. (shrink)

This article argues that economic crises are incompatible with the realisation of non-domination in capitalist societies. The ineradicable risk that an economic crisis will occur undermines the robust security of the conditions of non-domination for all citizens, not only those who are harmed by a crisis. I begin by demonstrating that the unemployment caused by economic crises violates the egalitarian dimensions of freedom as non-domination. The lack of employment constitutes an exclusion from the social bases of self-respect, and from a (...) practice of mutual social contribution crucial to the intersubjective affirmation of one’s status. While this argument shows that republicans must be concerned about economic crises, I suggest a more powerful argument can be grounded in the republican requirement that freedom must be robust. The systemic risk of economic crisis constitutes a threat to the conditions of free citizenship that cannot be nullified using policy mechanisms. As a result, republicans appear to be faced with the choice of revising their commitments or rejecting the possibility that republican freedom can be robustly secured in capitalist societies. (shrink)

Inductive logic would be the logic of arguments that are not valid, but nevertheless justify belief in something like the way in which valid arguments would. Maybe we could describe it as the logic of “almost valid” arguments. There is a sort of transitivity to valid arguments. Valid arguments can be chained together to form arguments and such arguments are themselves valid. One wants to distinguish the “almost valid” arguments by noting that chains of “almost valid” arguments are weaker than (...) the links that form them. But it is not clear that this is so. I have an apparent counterexample the claim. Though: as is typical in these sorts of situations, it is hard to tell where the problem lies. (shrink)

The late tenth century siddha and scholar Ratnākaraśānti, also known as the Mahāsiddha Śāntipa, was renowned as the author of both philosophical śāstras and commentaries on tantra. Typically, these are considered separate spheres of activity. However, Ratnākaraśānti’s approach, building on the tradition of scholarship associated with the Mahāvairocanābhisaṃbodhitantra and the Guhyasamājatantra, as well as on Yogācāra analysis and Buddhist pramāṇa theory, is highly syncretic. This paper is a study of Ratnākaraśānti’s commentaries that highlights his synthesis of the exoteric and esoteric (...) streams of Buddhist discourse, with particular emphasis on the nondual nature of reflexive awareness (svasaṃvitti, rang rig), or 'luminosity' (prakāśa, gsal ba), which serves as the conceptual bridge between sūtra and tantra. (shrink)

In this paper, we consider two different attempts to make an end run around the experimentalist challenge to the armchair use of intuitions: one due to Max Deutsch and Herman Cappelen, contending that philosophers do not appeal to intuitions, but rather to arguments, in canonical philosophical texts; the other due to Joshua Knobe, arguing that intuitions are so stable that there is in fact no empirical basis for the experimentalist challenge in the first place. We show that a closer attention (...) to philosophical practices reveal, in turn, that we cannot make sense of these philosophical texts as arguments all the way down; and that our methods are so sensitive to error that even a modest amount of instability is enough to raise deep methodological concerns. (shrink)

Defense of a psychological account of what it is for an artwork to be complete.

We develop and defend a new approach to counterlogicals. Non-vacuous counterlogicals, we argue, fall within a broader class of counterfactuals known as counterconventionals. Existing semantics for counterconventionals, 459–482 ) and, 1–27 ) allow counterfactuals to shift the interpretation of predicates and relations. We extend these theories to counterlogicals by allowing counterfactuals to shift the interpretation of logical vocabulary. This yields an elegant semantics for counterlogicals that avoids problems with the usual impossible worlds semantics. We conclude by showing how this approach (...) can be extended to counterpossibles more generally. (shrink)

A counterpossible is a counterfactual with an impossible antecedent. Counterpossibles present a puzzle for standard theories of counterfactuals, which predict that all counterpossibles are semantically vacuous. Moreover, counterpossibles play an important role in many debates within metaphysics and epistemology, including debates over grounding, causation, modality, mathematics, science, and even God. In this article, we will explore various positions on counterpossibles as well as their potential philosophical consequences.

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)

Kant’s claim that we must postulate the immortality of the soul is polarizing. While much attention has been paid to two standard arguments in its defense (one moral-psychological, the other rational), I contend that a favorite argument of Kant’s from the apogee of his critical period, namely, the teleological argument, deserves renewed attention. This paper reconstructs it and exhibits what makes it unique (though not necessarily superior) in relation to the other arguments. In particular, its form (as third-personal or descriptive, (...) beginning from observations) and related force of assent (as a subjectively universal reflective judgment) set it apart from the other arguments. My goal is to establish that any engagement with Kant’s immortality postulate must include equal consideration of the teleological argument in order to be complete. (shrink)

The willful ignorance doctrine says defendants should sometimes be treated as if they know what they don't. This book provides a careful defense of this method of imputing mental states. Though the doctrine is only partly justified and requires reform, it also demonstrates that the criminal law needs more legal fictions of this kind. The resulting theory of when and why the criminal law can pretend we know what we don't has far-reaching implications for legal practice and reveals a pressing (...) need for change. (shrink)

This article examines two questions about scientists’ search for knowledge. First, which search strategies generate discoveries effectively? Second, is it advantageous to diversify search strategies? We argue pace Weisberg and Muldoon, “Epistemic Landscapes and the Division of Cognitive Labor”, that, on the first question, a search strategy that deliberately seeks novel research approaches need not be optimal. On the second question, we argue they have not shown epistemic reasons exist for the division of cognitive labor, identifying the errors that led (...) to their conclusions. Furthermore, we generalize the epistemic landscape model, showing that one should be skeptical about the benefits of social learning in epistemically complex environments. (shrink)

Some worry that advanced artificial agents may resist being shut down. The Incomplete Preferences Proposal (IPP) is an idea for ensuring that doesn't happen. A key part of the IPP is using a novel 'Discounted REward for Same-Length Trajectories (DREST)' reward function to train agents to (1) pursue goals effectively conditional on each trajectory-length (be 'USEFUL'), and (2) choose stochastically between different trajectory-lengths (be 'NEUTRAL' about trajectory-lengths). In this paper, we propose evaluation metrics for USEFULNESS and NEUTRALITY. We use a (...) DREST reward function to train simple agents to navigate gridworlds, and we find that these agents learn to be USEFUL and NEUTRAL. Our results thus suggest that DREST reward functions could also train advanced agents to be USEFUL and NEUTRAL, and thereby make these advanced agents useful and shutdownable. (shrink)

Kant and Fichte developed the concept of a worldview as a way of reflecting on experience as a whole. But what does it mean to form a worldview? And what role did it play in the German Idealist tradition? This paper seeks to answer these questions through a detailed analysis of the form of a philosophical worldview and its historical portent, both of which remain unexplored in the literature. The dearth of attention is partially to blame on Kant’s desultory development (...) of it, as well as its place in Fichte’s understudied lectures on religion. In this paper, I first reconstruct Kant’s conception as the starting point and then trace it to Fichte who went on to evolve it further. Fichte endorses the basic conceptual shape pioneered by Kant, namely, a reflective process of positing an idea and then checking the coherence of necessary judgments relative to it. However, Fichte came to realize that its philosophical function needed expanding. Beyond recognizing the possibility for alternative worldviews, Fichte further fleshed out how worldview creation could lead to human flourishing. The common feature between both thinkers is that the formation of a worldview aims to turn philosophy into a life-orienting exercise. (shrink)

Recent discussions of emergence in physics have focussed on the use of limiting relations, and often particularly on singular or asymptotic limits. We discuss a putative example of emergence that does not fit into this narrative: the case of phonons. These quasi-particles have some claim to be emergent, not least because the way in which they relate to the underlying crystal is almost precisely analogous to the way in which quantum particles relate to the underlying quantum field theory. But there (...) is no need to take a limit when moving from a crystal lattice based description to the phonon description. Not only does this demonstrate that we can have emergence without limits, but also provides a way of understanding cases that do involve limits. (shrink)

It seems to be a common and intuitively plausible assumption that conversational implicatures arise only when one of the so-called conversational maxims is violated at the level of what is said. The basic idea behind this thesis is that, unless a maxim is violated at the level of what is said, nothing can trigger the search for an implicature. Thus, non-violating implicatures wouldn’t be calculable. This paper defends the view that some conversational implicatures arise even though no conversational maxim is (...) violated at the level of what is said. (shrink)

Elselijn Kingma argues that, in cases of mammalian placental pregnancy, the foster (roughly, the post-implantation embryo/foetus) is part of the gravida (the pregnant organism). But she does not consider the possibility of proper overlap. I show that this generates a number of serious problems for her argument and trace the oversight to a quite general issue within the literature on biological individuality. Doing so provides an opportunity to pull apart and clarify the relations between some importantly distinct questions concerning organismality (...) and organismic parthood, and to identify the implications that this has for those who want to draw on this literature when making metaphysical or mereological arguments. (shrink)

Rational agents face choices, even when taking seriously the possibility of determinism. Rational agents also follow the advice of Causal Decision Theory (CDT). Although many take these claims to be well-motivated, there is growing pressure to reject one of them, as CDT seems to go badly wrong in some deterministic cases. We argue that deterministic cases do not undermine a counterfactual model of rational deliberation, which is characteristic of CDT. Rather, they force us to distinguish between counterfactuals that are relevant (...) and ones that are irrelevant for the purposes of deliberation. We incorporate this distinction into decision theory to develop ‘Selective Causal Decision Theory’, which delivers the correct recommendations in deterministic cases while respecting the key motivations behind CDT. (shrink)

Otto Neurath’s empiricist methodology of economics and his contributions to politi- cal economy have gained increasing attention in recent years. We connect this research with contemporary debates regarding the epistemological status of thought experiments by reconstructing Neurath’s utopias as linchpins of thought experiments. In our three reconstructed examples of different uses of utopias/dystopias in thought experiments we employ a reformulation of Häggqvist’s model for thought experiments and we argue that: (1) Our reformulation of Häggqvist’s model more adequately complies with many (...) uses of thought experiments, especially with the open-ended discussions of utopias and dys- topias in thought experiments. (2) As a strict logical empiricist, Neurath is committed to a strictly empiricist account of thought experiments. John Norton’s empiricist argument view can indeed account for the justifications of empirical beliefs and genuine discoveries targeted by scientific utopianism in three distinct (yet connected) ways, all of which Neur- ath already contemplated: (2.I) Dealing with utopias and thought experiments on a regular basis increases creativity and inventiveness. (2.II) Particular ways of presenting knowl- edge facilitate scientific discovery and social progress. (2.III) The use of utopias in thought experiments can prompt conceptual change and allow access to new phenomena. We con- clude by highlighting that, even though thought experiments support a positive attitude for exploring new social possibilities, Neurath points out that active decisions are unavoidable. The exploration of alternatives and the awareness of a need for decisions in policy discus- sion avert a technocratic outlook in social science. (shrink)

Wie kann es gelingen, dem wissenschaftlichen Streben in der Psychologie eine Ordnung zu geben? In dem Buch werden zwei Perspektiven eingenommen: Zunächst blickt die Philosophie auf die Möglichkeit einer theoretischen Psychologie in Hinsicht auf anthropologische und wissenschaftstheoretische Voraussetzungen, dann die Experimentalpsychologie auf die Möglichkeit guter Theoriebildung. Der dritte Teil des Buches ist der Versuch einer Synthese, in dem der philosophisch-psychologische Perspektivenpluralismus als Programm vorgeschlagen wird, die Richtungen, in die der Fortschritt der Disziplin erfolgt, kritisch zu begleiten.

A common objection to the very idea of conceptual engineering is the topic continuity problem: whenever one tries to “reengineer” a concept, one only shifts attention away from one concept to another. Put differently, there is no such thing as conceptual revision: there’s only conceptual replacement. Here, I show that topic continuity is compatible with conceptual replacement. Whether the topic is preserved in an act of conceptual replacement simply depends on what is being replaced (a conceptual tool or a conceptual (...) role) and what the topic under discussion is. Thus, the topic continuity problem only arises from a failure to specify these two things. (shrink)

Pattern-based reasons are reasons for action deriving not from the features of our own actions, but from the features of the larger patterns of action in which we might be participating. These reasons might relate to the patterns of action that will actually be carried out, or they might relate to merely hypothetical patterns. In past work, I have argued that accepting merely hypothetical pattern-based reasons, together with a plausible account of how to weigh these reasons, can lead to disastrous (...) consequences. However, in this article, I argue that this problem is not limited to hypothetical pattern-based reasons: it turns out that there are analogous issues for reasons deriving from actual patterns. I then suggest that we can avoid this problem by adopting a different account of the weight of pattern-based reasons. (shrink)

Kant’s accounts of the Highest Good and the moral argument for God and immortality are central features of his philosophy. But both involve lingering puzzles. In this entry, we first explore what the Highest Good is for Kant and the role it plays in a complete account of ethical life. We then focus on whether the Highest Good involves individuals only, or whether it also connects with Kant’s doctrines about the moral progress of the species. In conclusion, we look into (...) three ways of articulating the moral argument for God and immorality that take our commitment to the Highest Good as their point of departure. (shrink)

A suprise may occur if we use a similar strategy to the Liar's paradox to mathematically formalize "This sentence does not contain the symbol X".

Existence of state-supported academies of science is a distinctive feature of the fundamental-science organization in Ukraine. Their research staff is divided into two groups: (i) personal members (academicians and corresponding members) and the rest of the researchers. First-group members have numerous economic and status privileges. It is officially purported that personal members are scientifically qualified than their colleagues. We analyzed this hypothesis on the basis of international indicators of the scientifi c activity (numbers of publications in the international peer-reviewed journals (...) and citations in them). The indicators testify that there are no distinctions between representatives of both groups being of the same age and qualifi cation. A conclusion is made that the lifelong privileges of the first group are ill-founded. (shrink)

I develop a theory of action inspired by a Heideggerian conception of concern, in particular for phenomenologically-inspired Embodied Cognition (Noë 2004; Wheeler 2008; Rietveld 2008; Chemero 2009; Rietveld and Kiverstein 2014). I proceed in three steps. First, I provide an analysis that identifies four central aspects of action and show that phenomenologically-inspired Embodied Cognition does not adequately account for them. Second, I provide a descriptive phenomenological analysis of everyday action and show that concern is the best candidate for an explanation (...) of action. Third, I show that concern, understood as the integration of affect and embodied understanding, allows us to explain the different aspects of action sufficiently. (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)