A crucial part of the contemporary interest in logicism in the philosophy of mathematics resides in its idea that arithmetical knowledge may be based on logical knowledge. Here an implementation of this idea is considered that holds that knowledge of arithmetical principles may be based on two things: (i) knowledge of logical principles and (ii) knowledge that the arithmetical principles are representable in the logical principles. The notions of representation considered here are related to theory-based and structure-based notions of representation (...) from contemporary mathematical logic. It is argued that the theory-based versions of such logicism are either too liberal (the plethora problem) or are committed to intuitively incorrect closure conditions (the consistency problem). Structure-based versions must on the other hand respond to a charge of begging the question (the circularity problem) or explain how one may have a knowledge of structure in advance of a knowledge of axioms (the signature problem). This discussion is significant because it gives us a better idea of what a notion of representation must look like if it is to aid in realizing some of the traditional epistemic aims of logicism in the philosophy of mathematics. (shrink)

This article surveys recent literature by Parsons, McGee, Shapiro and others on the significance of categoricity arguments in the philosophy of mathematics. After discussing whether categoricity arguments are sufficient to secure reference to mathematical structures up to isomorphism, we assess what exactly is achieved by recent ‘internal’ renditions of the famous categoricity arguments for arithmetic and set theory.

Collected and edited by Noah Levin -/- Table of Contents: -/- UNIT ONE: INTRODUCTION TO CONTEMPORARY ETHICS: TECHNOLOGY, AFFIRMATIVE ACTION, AND IMMIGRATION 1 The “Trolley Problem” and Self-Driving Cars: Your Car’s Moral Settings (Noah Levin) 2 What is Ethics and What Makes Something a Problem for Morality? (David Svolba) 3 Letter from the Birmingham City Jail (Martin Luther King, Jr) 4 A Defense of Affirmative Action (Noah Levin) 5 The Moral Issues of Immigration (B.M. Wooldridge) 6 The (...) Ethics of our Digital Selves (Noah Levin) -/- UNIT TWO: TORTURE, DEATH, AND THE “GREATER GOOD” 7 The Ethics of Torture (Martine Berenpas) 8 What Moral Obligations do we have (or not have) to Impoverished Peoples? (B.M. Wooldridge) 9 Euthanasia, or Mercy Killing (Nathan Nobis) 10 An Argument Against Capital Punishment (Noah Levin) 11 Common Arguments about Abortion (Nathan Nobis & Kristina Grob) 12 Better (Philosophical) Arguments about Abortion (Nathan Nobis & Kristina Grob) -/- UNIT THREE: PERSONS, AUTONOMY, THE ENVIRONMENT, AND RIGHTS 13 Animal Rights (Eduardo Salazar) 14 John Rawls and the “Veil of Ignorance” (Ben Davies) 15 Environmental Ethics: Climate Change (Jonathan Spelman) 16 Rape, Date Rape, and the “Affirmative Consent” Law in California (Noah Levin) 17 The Ethics of Pornography: Deliberating on a Modern Harm (Eduardo Salazar) 18 The Social Contract (Thomas Hobbes) -/- UNIT FOUR: HAPPINESS 19 Is Pleasure all that Matters? Thoughts on the “Experience Machine” (Prabhpal Singh) 20 Utilitarianism (J.S. Mill) 21 Utilitarianism: Pros and Cons (B.M. Wooldridge) 22 Existentialism, Genetic Engineering, and the Meaning of Life: The Fifths (Noah Levin) 23 The Solitude of the Self (Elizabeth Cady Stanton) 24 Game Theory, the Nash Equilibrium, and the Prisoner’s Dilemma (Douglas E. Hill) -/- UNIT FIVE: RELIGION, LAW, AND ABSOLUTE MORALITY 25 The Myth of Gyges and The Crito (Plato) 26 God, Morality, and Religion (Kristin Seemuth Whaley) 27 The Categorical Imperative (Immanuel Kant) 28 The Virtues (Aristotle) 29 Beyond Good and Evil (Friedrich Nietzsche) 30 Other Moral Theories: Subjectivism, Relativism, Emotivism, Intuitionism, etc. (Jan F. Jacko). (shrink)

I argue that classical theism is in tension with a kind of modal recombination principle known as ‘cut-and-paste’. I develop this tension at length, giving two arguments against theism based on cut-and-paste. I then both lay out and respond to various original proposals for reconciling theism with cut-and-paste. I conclude by measuring the cost of having to deny cut-and-paste. I argue that while there is an intuitive cost to this consequence of theism, theists also have plausible ways of addressing various (...) motivations for cut-and-paste. (shrink)

We have a much better understanding of physics than we do of consciousness. I consider ways in which intrinsically mental aspects of fundamental ontology might induce modifications of the known laws of physics, or whether they could be relevant to accounting for consciousness if no such modifications exist. I suggest that our current knowledge of physics should make us skeptical of hypothetical modifications of the known rules, and that without such modifications it’s hard to imagine how intrinsically mental aspects could (...) play a useful explanatory role. Draft version of a paper submitted to Journal of Consciousness Studies, special issue responding to Philip Goff’s Galileo’s Error: Foundations for a New Science of Consciousness. (shrink)

I outline and defend a version of the aesthetic argument for the existence of God, according to which theism explains our capacity for subjective aesthetic experience better than its major competitor, naturalism. I argue that naturalism fails to adequately explain the nature and range of our aesthetic experiences, since these are amenable neither to standard Darwinian explanation nor to explanation in terms of more complex sociobiological mechanisms such as sexual selection or between-group selection. I concede that aesthetic experience may be (...) an evolutionary spandrel but argue that the conjunction of this thesis with naturalism is highly improbable given the prevalence of beauty in the natural world. Theism, on the other hand, furnishes a robust personal explanation of aesthetic experience, since on theism God has both good reasons to bring such experiences about and the power to do so. I address an objection to the theistic explanation from broadly negative aesthetic experiences, arguing that God plausibly has many reasons to allow these. I contend that this formulation of the argument is superior to other extant versions, since it does not depend on controversial probability judgments, dubious analogies between natural phenomena and human artefacts, or objectivism about aesthetic values. (shrink)

Knowledge is analyzed in terms of the cost incurred when mistakes are made — things we should have known better, but didn’t. Following Wittgenstein at the end of On Certainty, an Epistemic Wager, similar to Pascal’s Wager, is set up to represent the cost differences not in belief vs. disbelief, but in knowledge vs. skepticism. This leads to a core class of absolutely certain knowledge, related to Moorean Facts, that is integrated into our everyday lives. This core knowledge is resistant (...) to both radical skepticism, such as a Cartesian Demon, and Gettier style objections, while providing a small, but sufficient base for future epistemological research. (shrink)

To meet the luck objection to incompatibilism, philosophers such as Timothy O’Connor, Randolph Clark, and William Rowe resurrected the Reidian notion of agent causation, which implies the “Substance-Causal Thesis” (SCT): some causes are fundamentally substances, not events. I examine an objection to SCT by C. D. Broad, developed by Carl Ginet, that substances cannot cause events because substances cannot explain why events happen when they do. The objection fails as it rests on a demand for contrastive explanations of free actions. (...) However, I show that a slightly different objection succeeds in showing SCT false. (shrink)

There is a very plausible principle linking abilities and possibilities: If S is able to Φ, then it is metaphysically possible that S Φ’s. Jack Spencer recently proposed a class of counterexamples to this principle involving the ability to know certain propositions. I renew an argument against these counterexamples based on the unknowability of Fitch propositions. In doing so, I provide a new argument for the unknowability of Fitch propositions and show that Spencer’s counterexamples are in tension with a principle (...) weaker than the one linking abilities and possibilities. (shrink)

In this essay, I defend a mind-body dualism, according to which human minds are immaterial substances that exercise non-redundant causal powers over bodies, against the notorious problem of psychophysical causation. I explicate and reply to three formulations of the problem: (i) the claim that, on dualism, psychophysical causation is inconsistent with physical causal closure, (ii) the claim that psychophysical causation on the dualist view is intolerably mysterious, and (iii) Jaegwon Kim’s claim that dualism fails to account for causal pairings. Ultimately, (...) I conclude that these objections fail and that dualist interactionism is no more problematic or mysterious than physical causation. (shrink)

It is commonplace in discussions of modern cosmology to assert that the early universe began in a special state. Conventionally, cosmologists characterize this fine-tuning in terms of the horizon and flatness problems. I argue that the fine-tuning is real, but these problems aren't the best way to think about it: causal disconnection of separated regions isn't the real problem, and flatness isn't a problem at all. Fine-tuning is better understood in terms of a measure on the space of trajectories: given (...) reasonable conditions in the late universe, the fraction of cosmological histories that were smooth at early times is incredibly tiny. This discussion helps clarify what is required by a complete theory of cosmological initial conditions. (shrink)

Moritz Schlick, Rudolf Carnap and Herbert Feig are the most prominent of the positivists to formulate views on the mind-body problem (aside from Hempel’s one-off treatment in 1935). While their views differed from each other and changed over time they were all committed to some form of scientific physicalism, though a linguistic or conceptual rather than ontological form of it. In focus here are their views during the heyday of logical positivism and its immediate aftermath, though some initial scene-setting of (...) Schlick’s and Carnap’s pre-positivist views will help to understand the final opposing positions of Carnap and Feigl. (shrink)

A theory of the first-person plural occupies a unique place in philosophical investigations into intersubjectivity and social cognition. In order for the referent of the first-person plural—“the We”—to come into existence, it seems there must be a shared ground of communicative possibility, but this requires a non-circular explanation of how this ground could be shared in the absence of a pre-existing context of communicative conventions. Margaret Gilbert’s and John Searle’s theories of collective intentionality capture important aspects of the We, but (...) fail to fully account for this shared ground of communicative possibility. This paper argues that Merleau-Ponty’s concept of intercorporeity helps reconcile the positive aspects of these accounts while also explaining how the genesis of the social world is continuous with perceptual life in general. This enables an account of the first-person plural as dependent on reciprocal communicative interaction without the need to posit a primitive or primordial “we-mode” of consciousness. “Intercorporeity” designates a bodily openness to others that is not fundamentally different in kind from the general style of bodily comportment found in Merleau-Ponty’s rich analyses of perceptual life. (shrink)

I examine issues in the philosophy of religion at the intersection of what possibilities there are and what a God, as classically conceived in the theistic philosophical tradition, would be able to do. The discussion is centered around arguing for an incompatibility between theism and two principles about possibility and ability, and exploring what theists should say about these incompatibilities. -/- I argue that theism entails that certain kinds and amounts of evil are impossible. This puts theism in conflict with (...) popular principles of modal recombination. However, theists have plausible explanations for the violations of recombination that they posit, and can suitably amend these principles without giving up their usefulness in accounting for what possibilities there are. -/- I also argue that despite the impossibility of these evils, God is able to bring these evils about. This puts theism in conflict with the principle that no one is able to do the impossible. However, theists can give a plausible account of why God is unique in being able to do the impossible, and have distinctive resources to address the arguments in favor of the idea that no one is able to do the impossible. And by denying this principle, theists are able to resolve several otherwise difficult puzzles, including reconciling conflicts between the divine attributes. (shrink)

I argue for the viability of one neglected way of developing supervenience-based objections to metaethical non-naturalism. This way goes through a principle known as ‘Hume’s Dictum’, according to which there are no necessary connections between distinct existences. I challenge several objections to the Hume’s Dictum-based argument. In the course of doing so, I formulate and motivate modest and precise versions of Hume’s Dictum, illustrate how arguments employing these principles might proceed, and argue that the Hume’s Dictum argument enjoys some advantages (...) relative to other supervenience-based objections to non-naturalism. (shrink)

We study the conservation of energy, or lack thereof, when measurements are performed in quantum mechanics. The expectation value of the Hamiltonian of a system changes when wave functions collapse in accordance with the standard textbook treatment of quantum measurement, but one might imagine that the change in energy is compensated by the measuring apparatus or environment. We show that this is not true; the change in the energy of a state after measurement can be arbitrarily large, independent of the (...) physical measurement process. In Everettian quantum theory, while the expectation value of the Hamiltonian is conserved for the wave function of the universe, it is not constant within individual worlds. It should therefore be possible to experimentally measure violations of conservation of energy, and we suggest an experimental protocol for doing so. (shrink)

Over the past fifteen years there has been a considerable amount of debate concerning what theoretical population dynamic models tell us about the nature of natural selection and drift. On the causal interpretation, these models describe the causes of population change. On the statistical interpretation, the models of population dynamics models specify statistical parameters that explain, predict, and quantify changes in population structure, without identifying the causes of those changes. Selection and drift are part of a statistical description of population (...) change; they are not discrete, apportionable causes. Our objective here is to provide a definitive statement of the statistical position, so as to allay some confusions in the current literature. We outline four commitments that are central to statisticalism. They are: 1. Natural Selection is a higher order effect; 2. Trait fitness is primitive; 3. Modern Synthesis (MS)-models are substrate neutral; 4. MS-selection and drift are model-relative. (shrink)

This paper presents an account of empathy as the form of experience directed at embodied unities of expressive movement. After outlining the key differences between simulation theory and the phenomenological approach to empathy, the paper argues that while the phenomenological approach is closer to respecting a necessary constitutional asymmetry between first-personal and second-personal senses of embodiment, it still presupposes a general concept of embodiment that ends up being problematic. A different account is proposed that is neutral on the explanatory role (...) of the first-person sense of embodiment, which leads to an emphasis on the transformative nature of empathy and a broadening of the scope of possible targets of empathic awareness. (shrink)

This concluding chapter of _Techno-Fixers: Origins and Implications of Technological Faith_ examines the widespread overconfidence in present-day and proposed 'technological fixes', and provides guidelines - social, ethical and technical - for soberly assessing candidate technological solutions for societal problems.

According to the Public Justification Principle, legitimate laws must be justifiable to all reasonable citizens. Proponents of this principle assume that its satisfaction requires speakers to offer justifications that are representable as arguments that feature premises which reasonable listeners would accept. I develop the concept of dark knowledge to show that this assumption is false. Laws are often justified on the basis of premises that many reasonable listeners know, even though they would reject these premises on the basis of the (...) further considerations that speakers implicitly rely on for their support. Accommodating the fact of dark knowledge requires us to consider the civic virtue of speakers to be more important for public justification than the acceptability of their arguments to reasonable citizens. I sketch an alternative conception of public justification that incorporates these results and argue that it provides a rationale for ignoring the otherwise sound contributions of some participants in political deliberation. (shrink)

Emotional hardcore and other music genres featuring screamed vocals are puzzling for the appreciator. The typical fan attaches appreciative value to musical screams of emotional pain all the while acknowledging it would be inappropriate to hold similar attitudes towards their sonically similar everyday counterpart: actual human screaming. Call this the screamed vocals problem. To solve the problem, I argue we must attend to the anti-sublimating aims that get expressed in the emotional hardcore vocalist’s choice to scream the lyrics. Screamed vocals (...) help us see the value in rejecting (a) restrictive social norms of emotional expressiveness and (b) restrictive artistic norms about how one ought to express or represent pain in art, namely that if one is going to do so they must ensure the pain has been ‘beautified’. In developing this second point I argue that emotional hardcore is well-suited (though not individually so) for putting pressure on longstanding views in the history of aesthetics about the formal relationship between art and human pain. (shrink)

Political theorists study the attributes of desirable social-moral states of affairs. Schaefer (forthcoming) aims to show that "static political theory" of this kind rests on shaky foundations. His argument revolves around an application of an abstruse mathematical theorem -- Kakutani's fixed point theorem -- to the social-moral domain. We show that Schaefer has misunderstood the implications of this theorem for political theory. Theorists who wish to study the attributes of social-moral states of affairs should carry on, safe in the knowledge (...) that Kakutani's theorem poses no threat to this enterprise. (shrink)

This paper argues for a Husserlian account of phenomenal intentionality. Experience is intentional insofar as it presents a mind-independent, objective world. Its doing so is a matter of the way it hangs together, its having a certain structure. But in order for the intentionality in question to be properly understood as phenomenal intentionality, this structure must inhere in experience as a phenomenal feature. Husserl’s concept of horizon designates this intentionality-bestowing experiential structure, while his concept of motivation designates the unique phenomenal (...) character of this structure as it is experientially lived through. The way experience hangs together is itself a phenomenal feature of experience. (shrink)

Husserl introduces a phenomenological concept called “motivation” early in the First Investigation of his magnum opus, the Logical Investigations. The importance of this concept has been overlooked since Husserl passes over it rather quickly on his way to an analysis of the meaningful nature of expression. I argue, however, that motivation is essential to Husserl’s overall project, even if it is not essen- tial for defining expression in the First Investigation. For Husserl, motivation is a relation between mental acts whereby (...) the content of one act make some fur- ther meaningful content probable. I explicate the nature of this relation in terms of “evidentiary weight” and differentiate it from Husserl’s notion of Evidenz, often translated as “self-evidence”. I elucidate the importance of motivation in Husserl’s overall phenomenological project by focusing on his analyses of thing-perception and empathy. Through these examples, we can better understand the continuity between the Logical Investigations and Husserl’s later work. (shrink)

This paper responds to recent work in the philosophy of Homotopy Type Theory by James Ladyman and Stuart Presnell. They consider one of the rules for identity, path induction, and justify it along ‘pre-mathematical’ lines. I give an alternate justification based on the philosophical framework of inferentialism. Accordingly, I construct a notion of harmony that allows the inferentialist to say when a connective or concept is meaning-bearing and this conception unifies most of the prominent conceptions of harmony through category theory. (...) This categorical harmony is stated in terms of adjoints and says that any concept definable by iterated adjoints from general categorical operations is harmonious. Moreover, it has been shown that identity in a categorical setting is determined by an adjoint in the relevant way. Furthermore, path induction as a rule comes from this definition. Thus we arrive at an account of how path induction, as a rule of inference governing identity, can be justified on mathematically motivated grounds. (shrink)

Husserlian phenomenology, as the study of conscious experience, has often been accused of solipsism. Husserl’s method, it is argued, does not have the resources to provide an account of consciousness of other minds. This chapter will address this issue by providing a brief overview of the multiple angles from which Husserl approached the theme of intersubjectivity, with specific focus on the details of his account of the concrete interpersonal encounter – “empathy.” Husserl understood empathy as a direct, quasi-perceptual form of (...) intentionality through which the sense of the Other is constituted. Furthermore, his account of empathy is holistically integrated with his overall theory of intersubjectivity, including his discussions of the objectivity of nature, and the social, historical, and communal aspects of subjectivity. Husserl’s theory of empathy continues to cast a long shadow, influencing both the analytic and continental approaches to the problem of other minds, as well as contemporary account of social cognition in the cognitive sciences. (shrink)

Several scholars have recently entertained proposals for "epistocracy," a political regime in which decision-making power is concentrated in the hands of a society's most informed and competent citizens. These proposals rest on the claim that we can expect better political outcomes if we exclude incompetent citizens from participating in political decisions because competent voters are more likely to vote "correctly" than incompetent voters. We develop what we call the objection from selection bias to epistocracy: a procedure that selects voters on (...) the basis of their observed competence---as epistocracy does---will often be "biased" in the sense that competent voters will be, on average, more likely than incompetent voters to possess certain attributes that reduce the probability of voting correctly. Our objection generalizes the "demographic objection" discussed in previous literature, showing that the range of realistic scenarios in which epistocracy is vulnerable to selection bias is substantially broader than previous discussions appreciate. Our discussion also shows that previous discussions have obscured the force of the threat of selection bias. Since we lack reasons to believe that epistocratic proposals can avoid selection bias, we have no reason to seriously entertain epistocracy as a practical proposal. (shrink)

We take ourselves to have an inner life of thought, and we take ourselves to be capable of linguistically expressing our thoughts to others. But what is the nature of this “inner life” of thought? Is conscious thought necessarily carried out in language? This paper takes up these questions by examining Merleau-Ponty’s theory of expression. For Merleau-Ponty, language expresses thought. Thus it would seem that thought must be independent of, and in some sense prior to, the speech that expresses it. (...) He also claims, however, that thinking just is linguistic expression, and thus that language constitutes thought. The primary aim of this paper is to make sense of this constitutive claim while maintaining that, for Merleau-Ponty, there is an inner life of thought that exists independently of linguistic expression, and that this inner life rightly deserves the label “thought”. The upshot of this account is twofold. First, it explains why the mainstream view of Merleau-Ponty’s theory of expression seems plausible, but is ultimately inadequate. Second, it functions as a corrective to contemporary debates about the nature and scope of phenomenal consciousness and the sense in which conscious experience has content. (shrink)

Some modern cosmological models predict the appearance of Boltzmann Brains: observers who randomly fluctuate out of a thermal bath rather than naturally evolving from a low-entropy Big Bang. A theory in which most observers are of the Boltzmann Brain type is generally thought to be unacceptable, although opinions differ. I argue that such theories are indeed unacceptable: the real problem is with fluctuations into observers who are locally identical to ordinary observers, and their existence cannot be swept under the rug (...) by a choice of probability distributions over observers. The issue is not that the existence of such observers is ruled out by data, but that the theories that predict them are cognitively unstable: they cannot simultaneously be true and justifiably believed. (shrink)

Logic and humour tend to be mutually exclusive topics. Humour plays off ambiguity, while classical logic falters over it. Formalizing puns is therefore impossible, since puns have ambiguous meanings for their components. However, I will use Independence-Friendly logic to formally encode the multiple meanings within a pun. This will show a general strategy of how to logically represent ambiguity and reveals humour as an untapped source of novel logical structure.

When are inequalities in political power undemocratic, and why? While some writers condemn any inequalities in political power as a deviation from the ideal of democracy, this view is vulnerable to the simple objection that representative democracies concentrate political power in the hands of elected officials rather than distributing it equally among citizens, but they are no less democratic for it. Building on recent literature that interprets democracy as part of a broader vision of social equality, I argue that concentrations (...) of political power are incompatible with democracy, and with a commitment to social equality more generally, when they consist in some having greater arbitrary power to influence decisions according to their idiosyncratic preferences. A novel account of the relationship between power and social status clarifies the role of social equality in the justification of democracy, including a representative democracy in which public officials have more political power than ordinary citizens. (shrink)

I defend the extremist position that the fundamental ontology of the world consists of a vector in Hilbert space evolving according to the Schrödinger equation. The laws of physics are determined solely by the energy eigenspectrum of the Hamiltonian. The structure of our observed world, including space and fields living within it, should arise as a higher-level emergent description. I sketch how this might come about, although much work remains to be done.

Brock and Glasgow recently introduced a new definition of paradox and argue that this conception of paradox itself leads to paradox, the so-called Paradox Paradox. I show that they beg the questions during the course of their argument, but, more importantly, do so in a philosophically interesting way: it reveals a counterexample to the equivalence between being a logical truth and having a probability of one. This has consequences regarding norms of rationality, undermining the grounds for the Conjunction Fallacy.

Normative political theorists frequently compare hypothetical scenarios for the purpose of identifying reasons to prefer one kind of institution to alternatives. We examine three types of "unfair" comparisons and the reasoning errors associated with each. A theorist makes an _obscure comparison_ when one (or more) of the alternatives under consideration is underspecified; a theorist makes a _mismatched comparison_ when they fail to hold fixed the relevant contextual factors while comparing alternatives; and a theorist makes an _irrelevant comparison_ when they compare (...) alternatives assuming contextual factors that differ in important respects from those they "should" assume given their theoretical aims. We then introduce the notion of a modeling mindset and show how this mindset can help theorists detect and avoid the three types of error. We conclude with a reconstruction of Cohen's (2009) camping trip thought experiment to illustrate the approach. (shrink)

This paper brings together several strands of thought from both the analytic and phenomenological traditions in order to critically examine accounts of cognitive enhancement that rely on the idea of cognitive extension. First, I explain the idea of cognitive extension, the metaphysics of mind on which it depends, and how it has figured in recent discussions of cognitive enhancement. Then, I develop ideas from Husserl that emphasize the agential character of thought and the distinctive way that conscious thoughts are related (...) to one another. I argue that these considerations are necessary for understanding why forms of cognitive extension may diminish our cognitive lives in different ways. This does not lead to a categorical rejection of cognitive enhancement as unethical or bad for human flourishing, but does warrant a conservative approach to the design and implementation of cognitive artifacts. (shrink)

According to Russellianism (or Millianism), the two sentences ‘Ralph believes George Eliot is a novelist’ and ‘Ralph believes Mary Ann Evans is a novelist’ cannot diverge in truth-value, since they express the same proposition. The problem for the Russellian (or Millian) is that a puzzle of Kaplan’s seems to show that they can diverge in truth-value and that therefore, since the Russellian holds that they express the same proposition, the Russellian view is contradictory. I argue that the standard Russellian appeal (...) to “ways of thinking” or “propositional guises” is not necessary to solve the puzzle. Rather than this retrograde concession to Fregeanism, appeal should be made to second-order belief. The puzzle is solved, and the contradiction avoided, by maintaining that both sentences are indeed true in addition to the sentence ‘Ralph (mistakenly) believes that he does not believe Mary Ann Evans/George Eliot is a novelist’. (shrink)

Immanuel Kant’s moral philosophy is organized around an exclusive disjunction of dignity or price, equality or equivalence. In his 1797 Doctrine of Right, however, Kant places enslaved black people on the wrong side of this disjunction when he speculates that their status as currency may offer insight into the origins of money. Recent work in black studies has begun to speculate on the link between blackness and money in modernity, and this paper draws attention to Kant’s role as an unlikely (...) and unwitting precursor for monetary theories of blackness. Precisely in his attempt to secure the priceless and unconditional character of freedom and dignity, it argues, Kant ends up demonstrating the positional value of both. (shrink)

The paper presents a new theory of perceptual demonstrative thought, the property-dependent theory. It argues that the theory is superior to both the object-dependent theory (Evans, McDowell) and the object-independent theory (Burge).

On one popular view, the general covariance of gravity implies that change is relational in a strong sense, such that all it is for a physical degree of freedom to change is for it to vary with regard to a second physical degree of freedom. At a quantum level, this view of change as relative variation leads to a fundamentally timeless formalism for quantum gravity. Here, we will show how one may avoid this acute ‘problem of time’. Under our view, (...) duration is still regarded as relative, but temporal succession is taken to be absolute. Following our approach, which is presented in more formal terms in, it is possible to conceive of a genuinely dynamical theory of quantum gravity within which time, in a substantive sense, remains. 1 Introduction1.1 The problem of time1.2 Our solution2 Understanding Symmetry2.1 Mechanics and representation2.2 Freedom by degrees2.3 Voluntary redundancy3 Understanding Time3.1 Change and order3.2 Quantization and succession4 Time and Gravitation4.1 The two faces of classical gravity4.2 Retaining succession in quantum gravity5 Discussion5.1 Related arguments5.2 Concluding remarks. (shrink)

Why are natural theories pre-well-ordered by consistency strength? In previous work, an approach to this question was proposed. This approach was inspired by Martin's Conjecture, one of the most prominent conjectures in recursion theory. Fixing a reasonable subsystem $T$ of arithmetic, the goal was to classify the recursive functions that are monotone with respect to the Lindenbaum algebra of $T$. According to an optimistic conjecture, roughly, every such function must be equivalent to an iterate $\mathsf{Con}_T^\alpha$ of the consistency operator ``in (...) the limit'' within the ultrafilter of sentences that are true in the standard model. In previous work the author established the first case of this optimistic conjecture; roughly, every recursive monotone function is either as weak as the identity operator in the limit or as strong as $\mathsf{Con}_T$ in the limit. Yet in this note we prove that this optimistic conjecture fails already at the next step; there are recursive monotone functions that are neither as weak as $\mathsf{Con}_T$ in the limit nor as strong as $\mathsf{Con}_T^2$ in the limit. In fact, for every $\alpha$, we produce a function that is cofinally equivalent to $\mathsf{Con}^\alpha_T$ yet cofinally equivalent to $\mathsf{Con}_T$. (shrink)

Cosmological models that invoke a multiverse - a collection of unobservable regions of space where conditions are very different from the region around us - are controversial, on the grounds that unobservable phenomena shouldn't play a crucial role in legitimate scientific theories. I argue that the way we evaluate multiverse models is precisely the same as the way we evaluate any other models, on the basis of abduction, Bayesian inference, and empirical success. There is no scientifically respectable way to do (...) cosmology without taking into account different possibilities for what the universe might be like outside our horizon. Multiverse theories are utterly conventionally scientific, even if evaluating them can be difficult in practice. (shrink)

Recognition of the plasticity of development — from gene expression to neuroplasticity — is increasingly undermining the traditional distinction between structure and function, or anatomy and behavior. At the same time, dynamic systems theory — a set of tools and concepts drawn from the physical sciences — has emerged as a way of describing what Maurice Merleau-Ponty calls the “dynamic anatomy” of the living organism. This article surveys and synthesizes dynamic systems models of development from biology, neuroscience, and psychology in (...) order to propose an integrated account of growth, learning, and behavior. Key to this account is the concept of self-differentiation or symmetry-breaking. I argue that development can be understood as a cascade of symmetry-breaking events brought about by the ongoing interactions of multiple, nested, nonlinear dynamic systems whose self-organizing behaviors gradually alter their own anatomical conditions. I begin by introducing the concept of symmetry-breaking as a way of understanding anatomical development. I then extend this approach to motor development by arguing that the organism’s behavior grows along with its body, like a new organ. Finally, I argue that the organism’s behavior and its world grow together dialectically, each driving the other to become more complex and asymmetrical through its own increasing asymmetry. Thus development turns out to be a form of cognition or sense-making, and cognition a form of development. (shrink)

In some recent work, John N.Williams defends a new objection to the defeasibility theory of knowledge. But the objection is of wider interest, since Williams also suggests that this style of objection may undermine other theories of knowledge. I distinguish two versions of Williams’ objection. I then show that the first version relies on false conceptual principles, and the second relies on a specific and dubious conception of the goal of the analysis of knowledge.

My aim in this paper is to determine how Locke understands suspension and the role it plays in his view of human liberty. To this end I, 1) discuss the deficiencies of the first edition version of ‘Of Power’ and why Locke needed to include the ability to suspend in the second edition, then 2) analyze Locke’s definitions of the power to suspend with a focus on his use of the terms ‘source’, ‘hinge’, and ‘inlet’ to describe the power. I (...) determine from these descriptions that the ability to suspend is a passive power and is a necessary condition for the rational deliberation that Locke takes to be necessary for acting as a free agent. In 3) I connect Locke’s view of the power to suspend to his discussion in the sections that precede ‘Of Power.’ I argue that the kind of judgment that Locke endorses in his discussion of the Molyneux problem is also at work in acts of suspension. In 4) I apply my interpretation to Locke’s description of the connection between the power to suspend and liberty. In 5) I conclude with a discussion of a passage from the fifth edition of the Essay. Locke adds this passage to address worries raised by Limborch over the course of their correspondence. According to Chappell, it lends evidence to the view that Locke takes suspensions to be caused by undetermined volitions. (shrink)

The Principle of Sufficient Reason (PSR) holds that, for everything that exists or occurs or holds true, there is a reason why that is the case. I consider three possible ways of relating physics to the PSR: past states as reasons for present states, reasons why the laws of physics take the form that they do, and reasons why there is anything at all. In each case I suggest that the PSR is not the best way of thinking about how (...) and why physics works. -/- Invited reflection for The Principle of Sufficient Reason (Oxford Philosophical Concepts), Eds. F. Amijee and M. Della Rocca (forthcoming 2024). (shrink)

I examine two related arguments for the claim that if God is omnipotent, God cannot lack abilities such as the ability to do evil or to act irrationally. Both arguments concern the idea that omnipotence is inconsistent with being dominated with respect to abilities. I raise new issues in the formulation of such dominance principles about ability, and attempt to solve them. I also discuss and reject existing objections to these arguments. I conclude that these arguments are promising but not (...) conclusive, and that important work remains to be done in formulating the relevant dominance principles. (shrink)

Quine introduced a famous distinction between the ‘notional’ sense and the ‘relational’ sense of certain attitude verbs. The distinction is both intuitive and sound but is often conflated with another distinction Quine draws between ‘dyadic’ and ‘triadic’ (or higher degree) attitudes. I argue that this conflation is largely responsible for the mistaken view that Quine’s account of attitudes is undermined by the problem of the ‘exportation’ of singular terms within attitude contexts. Quine’s system is also supposed to suffer from the (...) problem of ‘suspended judgement with continued belief’. I argue that this criticism fails to take account of a crucial presupposition of Quine’s about the connection between thought and language. The aim of the paper is to defend the spirit of Quine’s account of attitudes by offering solutions to these two problems. (shrink)

Inductively defined structures are ubiquitous in mathematics; their specification is unambiguous and their properties are powerful. All fields of mathematical logic feature these structures prominently: the formula of a language, the set of theorems, the natural numbers, the primitive recursive functions, the constructive number classes and segments of the cumulative hierarchy of sets. -/- This dissertation gives a mathematical characterization of a species of inductively defined structures, called accessible domains, which include all of the above examples except the set of (...) theorems. The concept of an accessible domain comes from Wilfried Sieg's analysis of proof-theoretic practices, starting with his dissertation. In particular, he noticed the special epistemological character of elements of an accessible domain: they can always be uniquely identified with their build-up. Generally, the unique build-up of elements justifies the principles of induction and recursion. -/- I use category theory to give an abstract characterization of accessible domains. I claim that accessible domains are all instances of initial algebras for endofunctors. Grounded in the historical roots of Sieg's discussions, this dissertation shows how the properties of initial algebras for endofunctors and accessible domains coincide in a satisfying and natural way. -/- Filling out this characterization, I show how important examples of accessible domains fit into this broad characterization. I first characterize some accessible domains by relatively simple functors (e.g. finite, polynomial, those that preserve certain colimits) where we can see how iterating the functor can produce the accessible domain. Then I describe accessible domains that result from more involved specifications (e.g. ordinals and segments of the cumulative hierarchies associated with CZF, IZF, and ZF) by relying heavily on algebraic set theory. I end with a discussion of some of the methodological features of category theory in particular that helped characterize accessible domains. (shrink)

This chapter offers a general outline of Schopenhauer’s peculiarly named concept of the 'acquired character’ and explains its basic function in his ethical thought. For Schopenhauer, a person of acquired character is someone who knows the ways of acting (Handlungsweise) that are most expressive of their individuality and who allows that self-knowledge to structure their practical and emotional life. In keeping with certain elements of his psychological determinism, acquired character is not the acquisition of a ‘new’ character; rather, it is (...) the acquisition of self-knowledge of one’s essentially fixed empirical character. It is part of the argument of this chapter that by introducing the acquired character into his reflections on human action and agency Schopenhauer weaves a certain view of individual flourishing (eudaimonia) into his ethics. There are two central ingredients of Schopenhauer’s conception of eudaimonia, and both are linked to the acquired character. The first is self-knowledge; the second is a sense of personal autonomy that follows in the wake of the first. The chapter ends with a brief attempt to connect Schopenhauer’s concept of acquired character to contemporary debates in ethics concerning autonomy, practical identity, and what some call the ‘normative significance of self’. (shrink)