It is well-known that the global structure of every space-time model for relativistic cosmology is observationally underdetermined. In order to alleviate the severity of this underdetermination, it has been proposed that we adopt the Cosmological Principle because the Principle restricts our attention to a distinguished class of space-time models (spatially homogeneous and isotropic models). I argue that, even assuming the Cosmological Principle, the topology of space remains observationally underdetermined. Nonetheless, I argue that we can muster reasons to prefer various topological (...) properties over others. In particular, I favor the adoption of multiply connected universe models on grounds of (i) simplicity, (ii) Machian considerations, and (iii) explanatory power. We are able to appeal to such grounds because multiply connected topologies open up the possibility of finite universe models (consistent with our best data), which in turn avoid thorny issues concerning the postulation of an actually infinite universe. (shrink)

In this paper I argue for an association between impurity and explanatory power in contemporary mathematics. This proposal is defended against the ancient and influential idea that purity and explanation go hand-in-hand (Aristotle, Bolzano) and recent suggestions that purity/impurity ascriptions and explanatory power are more or less distinct (Section 1). This is done by analyzing a central and deep result of additive number theory, Szemerédi’s theorem, and various of its proofs (Section 2). In particular, I focus upon the radically impure (...) (ergodic) proof due to Furstenberg (Section 3). Furstenberg’s ergodic proof is striking because it utilizes intuitively foreign and infinitary resources to prove a finitary combinatorial result and does so in a perspicuous fashion. I claim that Furstenberg’s proof is explanatory in light of its clear expression of a crucial structural result, which provides the “reason why” Szemerédi’s theorem is true. This is, however, rather surprising: how can such intuitively different conceptual resources “get a grip on” the theorem to be proved? I account for this phenomenon by articulating a new construal of the content of a mathematical statement, which I call structural content (Section 4). I argue that the availability of structural content saves intuitive epistemic distinctions made in mathematical practice and simultaneously explicates the intervention of surprising and explanatorily rich conceptual resources. Structural content also disarms general arguments for thinking that impurity and explanatory power might come apart. Finally, I sketch a proposal that, once structural content is in hand, impure resources lead to explanatory proofs via suitably understood varieties of simplification and unification (Section 5). (shrink)

As robots slip into more domains of human life-from the operating room to the bedroom-they take on our morally important tasks and decisions, as well as create new risks from psychological to physical. This book answers the urgent call to study their ethical, legal, and policy impacts.

These are my materials (a short precis, and replies to John MacFarlane, Mitchell Green, Ryan Wasserman, and Anthony Bigg and Kristie Miller) for a symposium on my book, _The Open Future: Why Future Contingents are All False_ (OUP, 2021) in *Analytic Philosophy*. [The contribution from MacFarlane is available on his website, those from Wasserman and Green are on their Academia profiles, and the contribution from Bigg and Miller is on Miller's PhilPapers profile.].

The deep influence of affectivity on learning is now widely acknowledged (Keefer et al., 2018; Sánchez-Álvarez et al., 2021). For instance, it has been shown that affect influences key learning-relevant processes, such as motivation, perception, behavior, and critical thinking (Izard, 2002; Mayer & Salovey, 1997). Evidence also shows that emotion and mood strongly influence attention, which in turn drives learning and memory (Elbertson et al., 2010; Elias et al., 1997). Intersubjective phenomena, such as the degree of affection and respect between (...) child and teacher, also affect the child’s learning processes, academic outcomes, and brain development (Kusché & Greenberg, 2006; Ryan & Patrick, 2001). However, the relevant literature is not paying attention to increasing evidence showing that affective phenomena are rooted in interoceptive and homeostatic self- and co-regulatory processes within and between people’s living bodies (Barrett, 2017; Carvalho & Damasio, 2021; Craig, 2015, 2018; Fotopoulou et al., 2022; Fotopoulou & Tsakiris, 2017; Seth & Friston, 2016). In this theoretical chapter, we explore this connection and its importance for learning. We argue that affective experience plays a fundamental role in learning, and that affective experience is rooted in the homeostatic self-/co-regulation of living bodies. Therefore, the homeostatic self-/co-regulation of living bodies plays a fundamental role in learning. In other words, there is an intra- and interpersonal somatic dimension of learning that demands explicit consideration in educational contexts. In this way, we aim to contribute to an understanding of learning and education that moves away from an individualistic, brain-centered information-processing conception toward one centered on sentient, interdependent living bodies. (shrink)

Most accounts of cognitive scaffolding focus on ways that external structure can support or augment an agent’s cognitive capacities. We call cases where the interests of the user are served benign scaffolding and argue for the possibility and reality of hostile scaffolding. This is scaffolding which depends on the same capacities of an agent to make cognitive use of external structure as in benign cases, but that undermines or exploits the user while serving the interests of another agent. We develop (...) criteria for scaffolding being hostile and show by reference to examples including the design features of electronic gambling machines and casino management systems that hostile scaffolding exists and can be highly effective. In cases where the scaffolding is deep and permits the offloading of significant cognitive work, hostile scaffolding exploitatively manipulates cognitive processing itself. Given the extent of human reliance on scaffolding this is an important and neglected vulnerability. [This is an updated version of the paper, added in February 2023.]. (shrink)

When are morally good actions beautiful, when indeed they are? In this paper, it is argued that morally good actions are beautiful when they appear to express the deep or true self, and in turn tend to give rise to an emotion which is characterised by feelings of being moved, unity, inspiration, and meaningfulness, inter alia. In advancing the case for this claim, it is revealed that there are additional sources of well-formedness in play in the context of moral beauty (...) in addition to those that have tended to be focused on to date: one which is connected to imagining a deep location for the goodness concerned, and another which is connected to imagining that the goodness stems from capacities which are essential to the person. (shrink)

What is the nature of the concept BEAUTY? Does it differ fundamentally from nearby concepts such as PRETTINESS? It is argued that BEAUTY, but not PRETTINESS, is a dual-character concept. Across a number of contexts, it is proposed that BEAUTY has a descriptive sense that is characterised by, inter alia, having intrinsically pleasing appearances; and a normative sense associated with deeply-held values. This account is supported across two, pre-registered, studies (N=500), and by drawing on analysis of corpus data. It is (...) suggested that this can help to explain why beauty, unlike prettiness, is thought to be deep in both the sense of being important, and in the sense of being less closely tied to sensory surfaces. (shrink)

According to the most important objection to the existence of moral beauty, true judgements of moral beauty are not possible as moral judgements require being motivated to act in line with the moral judgement made, and judgements of beauty require not being motivated to act in any way. Here, I clarify the argument underlying the objection, and show that it does not show that moral beauty does not exist. I present two responses: namely, that the beauty of moral beauty does (...) not lie in the moral goodness per se (the “adjacent properties” response); and that only a dispositional motivation to act is required for the moral judgements that are typically made as part of judgements of moral beauty, whereas aesthetic judgements only rule out state motivations to act (the “equivocation of motivation required” response). In addressing the objection, I show how moral beauty is consistent with disinterestedness, and so should be accepted more widely; and also clarify where the beauty in moral beauty resides, and how the moral-aesthetic distinction should be drawn. (shrink)

Why are moral actions beautiful, when indeed they are? This paper assesses the view, found most notably in Schiller, that moral actions are beautiful just when they present the appearance of freedom by appearing to be the result of internal harmony (the Schillerian Internal Harmony Thesis). I argue that while this thesis can accommodate some of the beauty involved in contrasts of the ‘continent’ and the ‘fully’ virtuous, it cannot account for all of the beauty in such contrasts, and so (...) needs to be weakened considerably (to the Internal Harmony Thesis). To account for the remaining beauty that cannot be fully accommodated even by this revised thesis, as well as the beauty contained in contrasts that involve agents who experience internal conflict as a result of being sensitive to different sources of moral value to an appropriate extent, a number of further theses need to be posited: namely, that the beauty of some moral actions is to be accommodated in terms of internal disharmony (the Internal Disharmony Thesis), and in terms of a felt harmony between the appreciator of the action and the executor of the action (the Affective Harmony Thesis). As such, in contrast to Schiller, I suggest that we need to take a pluralist and context-sensitive approach to accommodating the beauty of moral actions. (shrink)

In The Conditions for Ethical Chemical Restraint, Crutchfield and Redinger (2024) propose ethical standards for the use of chemical restraints, which they consider normatively distinct from physica...

This paper focuses on a recently articulated, emergentist conception of ethical naturalism and its commitment to causal efficacy, or the idea that moral properties have causal powers, along with its supporting commitment to moral causation. After I reconstruct the theory, I explain how it offers some interesting theoretical benefits to moral realists in virtue of its commitment to causal efficacy. Then, after locating some examples of moral causation in support of this commitment, I present and respond to five objections to (...) such causation, which all threaten to undermine this support. Lastly, I consider a very serious problem that the theory faces in virtue of positing emergent moral properties as responsible for moral causation – namely, the problem of downward moral causation. I describe this problem in detail and argue that, as it stands, it does not spell doom for the theory. (shrink)

This book launches a sustained defense of a radical interpretation of the doctrine of the open future. Patrick Todd argues that all claims about undetermined aspects of the future are simply false.

This paper attempts to fill an epistemological gap in our theorizing about love with a sketch of an epistemology of love that unfolds by addressing Whitney Houston’s famous epistemological questions pertaining to how we can know whether another loves us. After arguing for three possible sources of the knowledge of love, it offers initial answers to how the knowledge of the presence or absence of another’s love can be acquired from the relevant possible sources previously established. These initial answers, though, (...) are unsatisfying because they invite more difficult questions that are then addressed, such as those pertaining to the kinds of things that constitute love’s expressions along with how to detect these expressions given the possibility of false positives. Addressing these questions ultimately leads to a sharpened, Aristotle-inspired account of how to acquire the knowledge of the presence or absence of another’s love by inferring it, respectively, from the successful or failed detection of love’s expressions. (shrink)

In this article, robust evidence is provided showing that an individual’s moral character can contribute to the aesthetic quality of their appearance, as well as being beautiful or ugly itself. It is argued that this evidence supports two main conclusions. First, moral beauty and ugliness reside on the inside, and beauty and ugliness are not perception-dependent as a result; and, second, aesthetic perception is affected by moral information, and thus moral beauty and ugliness are on the outside as well.

An early, very preliminary edition of this book was circulated in 1962 under the title Set-theoretical Structures in Science. There are many reasons for maintaining that such structures play a role in the philosophy of science. Perhaps the best is that they provide the right setting for investigating problems of representation and invariance in any systematic part of science, past or present. Examples are easy to cite. Sophisticated analysis of the nature of representation in perception is to be found already (...) in Plato and Aristotle. One of the great intellectual triumphs of the nineteenth century was the mechanical explanation of such familiar concepts as temperature and pressure by their representation in terms of the motion of particles. A more disturbing change of viewpoint was the realization at the beginning of the twentieth century that the separate invariant properties of space and time must be replaced by the space-time invariants of Einstein's special relativity. Another example, the focus of the longest chapter in this book, is controversy extending over several centuries on the proper representation of probability. The six major positions on this question are critically examined. Topics covered in other chapters include an unusually detailed treatment of theoretical and experimental work on visual space, the two senses of invariance represented by weak and strong reversibility of causal processes, and the representation of hidden variables in quantum mechanics. The final chapter concentrates on different kinds of representations of language, concluding with some empirical results on brain-wave representations of words and sentences. (shrink)

At least since Aristotle's famous discussion of the sea-battle tomorrow in On Interpretation 9, philosophers have been fascinated by a rich set of interconnecte.

Bioethics, Volume 36, Issue 1, Page 54-62, January 2022.

Conspiracy theories are rather a popular topic these days, and a lot has been written on things like the meaning of _conspiracy theory_, whether it’s ever rational to believe conspiracy theories, and on the psychology and demographics of people who believe conspiracy theories. But very little has been said about why people might be led to posit conspiracy theories in the first place. This paper aims to fill this lacuna. In particular, I shall argue that, in open democratic societies, citizens (...) justifiably presuppose that the epistemic authorities—journalists, academics, scientists, and so on—are engaged in a good faith pursuit of the truth. This presupposition generates certain normative expectations on the behaviors of the epistemic authorities—they ought to be open to new evidence, possess a healthy degree of skepticism, be willing to engage with opponents, and so on. So, when an epistemic authority is presented with some putatively anomalous data or an alternative hypothesis for some event or phenomena, people expect the epistemic authority to respond in a way that is consonant with these norms. In some instances, however, the epistemic authorities do not respond in this way and instead are dogmatic, dismissive, and engage in _ad hominem_. From the point of view of the citizen, there’s a tension here between how the epistemic authorities ought to behave and how they have, in fact, behaved which is best resolved either by taking the epistemic authorities less seriously or by positing a conspiracy theory. Put another way, the failure of the epistemic authorities to adhere to the norms by which we take them to be governed when presented with apparent anomalies or alternative hypotheses is one reason for which one might initially posit a conspiracy theory. (shrink)

It is common in metaethics today to draw a distinction between “naturalist” and “non-naturalist” versions of moral realism, where the former view maintains that moral properties are natural properties, while the latter view maintains that they are non-natural properties instead. The nature of the disagreement here can be understood in different ways, but the most common way is to understand it as a metaphysical disagreement. In particular, the disagreement here is about the reducibility of moral properties, where the “naturalists” maintain (...) that moral properties are in some way reducible to the lower-level natural properties on which they supervene, while the “non-naturalists” maintain that moral properties are sui generis and robustly irreducible. In this paper I present a novel version of realist ethical naturalism—a view that I call Emergentist Ethical Naturalism—that reveals this common way of understanding the distinction between naturalism and non-naturalism to be flawed by combining a commitment to ethical naturalism with a commitment to the sui generis and robustly irreducible nature of moral properties that typically defines non-naturalism. Then, after presenting the theory and addressing a few worries that one might have about it, I show how it offers some novel, emergence-based responses to the various supervenience challenges that plague moral realism and thereby gives the ethical naturalist a robustly non-reductive option for dealing with these challenges. (shrink)

Which traits are beautiful? And is their beauty perceptual? It is argued that moral virtues are partly beautiful to the extent that they tend to give rise to a certain emotion— ecstasy—and that compassion tends to be more beautiful than fair-mindedness because it tends to give rise to this emotion to a greater extent. It is then argued, on the basis that emotions are best thought of as a special, evaluative, kind of perception, that this argument suggests that moral virtues (...) are partly beautiful to the extent that they tend to give rise to a certain kind of evaluative perceptual experience. (shrink)

In her paper, “The cost of conscience: Kant on conscience and conscientious objection,” Jeanette Kennett argues that a Kantian view of conscientious objection in medicine would bar physicians from refusing to perform certain practices based on conscience. I offer a response in the following manner: First, I reconstruct her main argument; second, I present a more accurate picture of Kant’s view of conscience. I conclude that, given a Kantian framework, a physician should be allowed to refuse to perform practices that (...) break the moral law and, thus, refuse practices that violate her conscience. (shrink)

Inspired by Helen Longino’s ‘critical contextual empiricism’, in this paper I argue that art arises from social epistemic procedures that encompass both aesthetic functions and institutional practices. Within these procedures, aesthetic functions are developed, validated, and enforced through institutional practices, rather than being solely tied to the artistic outcomes of those practices. I call this approach ‘critical contextual aestheticism’.

It is widely accepted that there is what has been called a non-hypocrisy norm on the appropriateness of moral blame; roughly, one has standing to blame only if one is not guilty of the very offence one seeks to criticize. Our acceptance of this norm is embodied in the common retort to criticism, “Who are you to blame me?”. But there is a paradox lurking behind this commonplace norm. If it is always inappropriate for x to blame y for a (...) wrong that x has committed, then all cases in which x blames x (i.e. cases of self-blame) are rendered inappropriate. But it seems to be ethical common-sense that we are often, sadly, in position (indeed, excellent, privileged position) to blame ourselves for our own moral failings. And thus we have a paradox: a conflict between the inappropriateness of hypocritical blame, and the appropriateness of self-blame. We consider several ways of resolving the paradox, and contend none is as defensible as a position that simply accepts it: we should never blame ourselves. In defending this startling position, we defend a crucial distinction between self-blame and guilt. (shrink)

I offer the first sustained defence of the claim that ugliness is constituted by the disposition to disgust. I advance three main lines of argument in support of this thesis. First, ugliness and disgustingness tend to lie in the same kinds of things and properties (the argument from ostensions). Second, the thesis is better placed than all existing accounts to accommodate the following facts: ugliness is narrowly and systematically distributed in a heterogenous set of things, ugliness is sometimes enjoyed, and (...) ugliness sits opposed to beauty across a neutral midpoint (the argument from proposed intensions). And third, ugliness and disgustingness function in the same way in both giving rise to representations of contamination (the argument from the law of contagion). In making these arguments, I show why prominent objections to the thesis do not succeed, cast light on some of the artistic functions of ugliness, and, in addition, demonstrate why a dispositional account of disgustingness is correct, and present a novel problem for warrant-based accounts of disgustingness (the ‘too many reasons’ problem). (shrink)

As well as disagreeing about how much one should donate to charity, moral theories also disagree about where one should donate. In light of this disagreement, how should the morally uncertain philanthropist allocate her donations? In many cases, one intuitively attractive option is for the philanthropist to split her donations across all of the charities that are recommended by moral views in which she has positive credence, with each charity’s share being proportional to her credence in the moral theories that (...) recommend that particular charity. Despite the fact that something like this approach is already being used by real-world philanthropists to distribute billions of dollars of donations, it is not supported by any of the approaches to moral uncertainty that have been proposed thus-far in the philosophical literature. In this paper, we will develop a bargaining-based approach to moral uncertainty that honors the proportionality intuition in favor of splitting one’s donations. We also show how this bargaining-based approach has several further advantages over the best alternative proposals. (shrink)

I argue that the main existing accounts of the relationship between the beauty of environmental entities and their moral standing are mistaken in important ways. Beauty does not, as has been suggested by optimists, confer intrinsic moral standing. Nor is it the case, as has been suggested by pessimists, that beauty at best provides an anthropocentric source of moral standing that is commensurate with other sources of pleasure. I present arguments and evidence that show that the appreciation of beauty tends (...) to cause a transformational state of mind that is more valuable than mere pleasure, but that leads us to falsely represent beautiful entities as being sentient and, in turn, as having intrinsic moral standing. To this extent, beauty is not, then, a source of intrinsic moral standing; it’s a source of a more important anthropocentric value than has hitherto been acknowledged. (shrink)

If Large Language Models can make real scientific contributions, then they can genuinely use language, be systematically wrong, and be held responsible for their errors. AI models which can make scientific contributions thereby meet the criteria for scientific authorship.

Bilateral proof systems, which provide rules for both affirming and denying sentences, have been prominent in the development of proof-theoretic semantics for classical logic in recent years. However, such systems provide a substantial amount of freedom in the formulation of the rules, and, as a result, a number of different sets of rules have been put forward as definitive of the meanings of the classical connectives. In this paper, I argue that a single general schema for bilateral proof rules has (...) a reasonable claim to inferentially articulating the core meaning of all of the classical connectives. I propose this schema in the context of a bilateral sequent calculus in which each connective is given exactly two rules: a rule for affirmation and a rule for denial. Positive and negative rules for all of the classical connectives are given by a single rule schema, harmony between these positive and negative rules is established at the schematic level by a pair of elimination theorems, and the truth-conditions for all of the classical connectives are read off at once from the schema itself. (shrink)

Coronavirus disease 2019 can lead to respiratory failure. Some patients require extracorporeal membrane oxygenation support. During the current pandemic, health care resources in some cities have been overwhelmed, and doctors have faced complex decisions about resource allocation. We present a case in which a pediatric hospital caring for both children and adults seeks to establish guidelines for the use of extracorporeal membrane oxygenation if there are not enough resources to treat every patient. Experts in critical care, end-of-life care, bioethics, and (...) health policy discuss if age should guide rationing decisions. (shrink)

To say Early Confucians advocated the possession of a sense of shame as a means to moral virtue underestimates the tact and forethought they used successfully to mold natural dispositions to experience shame into a system of self, familial, and social governance. Shame represents an adaptive system of emotion, cognition, perception, and behavior in social primates for measurement of social rank. Early Confucians understood the utility of the shame system for promotion of cooperation, and they build and deploy cultural modules (...) – e.g., rituals, titles, punishments – with this in mind. These policies result in subtle alterations to components of the evolved shame system that are detectable in data form contemporary cross-cultural psychology that show that populations in the Confucian diaspora have a unique shame profile compared to Western and non-Western populations. The status of Confucian diaspora populations as outliers in the context of shame is partially explained by appeal to the cultural transmission and historical endurance of relevant Early Confucian cultural modules. (shrink)

Let’s say that you regard two things as on a par when you don’t prefer one to other and aren’t indifferent between them. What does rationality require of you when choosing between risky options whose outcomes you regard as on a par? According to Prospectism, you are required to choose the option with the best prospects, where an option’s prospects is a probability-distribution over its potential outcomes. In this paper, I argue that Prospectism violates a dominance principle—which I call The (...) Principle of Predominance—because it sometimes requires you to do something that’s no better than the alternatives and might be worse. I argue that this undermines the strongest argument that’s been given in favor of Prospectism. (shrink)

I motivate and develop a use-based semantic theory in opposition to the dominant paradigm in philosophical and linguistic semantics. Drawing inspiration from Wilfrid Sellars, I argue that contemporary semantic theories are faced with a basic problem of explanatory circularity. These theories universally presuppose that worldly knowledge of such things as properties or sets of possible worlds precedes and underlies knowledge of meaning. However, I argue that it is only through learning a language--mastering the rules governing the use of the expressions (...) belonging to that language--that speakers can possibly have knowledge of the worldly entities appealed to by semanticists at the base level of their semantic theories. In response to this fundamental problem, I develop a formal semantic framework in which the meaning of a sentence is understood directly in terms of its role in discourse. In contrast to existing semantic frameworks, this framework does not presuppose speakers' worldly knowledge, and so is actually able to explain it. The result is not just a new kind of semantic theory, but a new conception of the relation between meaning and the world. (shrink)

While recently hyped as a defense against AI plagiarism, oral exams have fallen out of favor in American philosophy departments. They are often perceived as part of an antiquated system where the day-to-day coursework is sharply distinguished from a 100% weighted final exam, with a more oppositional than collaborative student-professor relationship. Such examinations do not lend themselves to blind grading, and also reinforce the existing privilege of students who are confident, fast-spoken, and know what to study. This kind of oral (...) examination is clearly at odds with the contemporary transparent and collaborative process embodied in techniques like specifications grading, with its proven benefits for novice philosophy students in introductory-level courses. I want to defend a rather different role for oral exams. Novice philosophy students need rapid feedback in order to know whether they have correctly understood the expectations embodied in syllabi and rubrics. Six best practices are offered for achieving this goal while minimizing drawbacks. (shrink)

I pedagogically show that the momentum operator in quantum mechanics, in the position representation, commonly known to be a derivative with respect to a spatial x-coordinate, can be derived by identifying momentum as the generator of space translations.

Recently, philosophers have turned their attention to the question, not when a given agent is blameworthy for what she does, but when a further agent has the moral standing to blame her for what she does. Philosophers have proposed at least four conditions on having “moral standing”: -/- 1. One’s blame would not be “hypocritical”. 2. One is not oneself “involved in” the target agent’s wrongdoing. 3. One must be warranted in believing that the target is indeed blameworthy for the (...) wrongdoing. 4. The target’s wrongdoing must some of “one’s business”. -/- These conditions are often proposed as both conditions on one and the same thing, and as marking fundamentally different ways of “losing standing.” Here I call these claims into question. First, I claim that conditions (3) and (4) are simply conditions on different things than are conditions (1) and (2). Second, I argue that condition (2) reduces to condition (1): when “involvement” removes someone’s standing to blame, it does so only by indicating something further about that agent, viz., that he or she lacks commitment to the values that condemn the wrongdoer’s action. The result: after we clarify the nature of the non-hypocrisy condition, we will have a unified account of moral standing to blame. Issues also discussed: whether standing can ever be regained, the relationship between standing and our "moral fragility", the difference between mere inconsistency and hypocrisy, and whether a condition of standing might be derived from deeper facts about the "equality of persons". (shrink)

Why must incompatibility be symmetric? An odd question, but recent work in the semantics of non-classical logic, which appeals to the notion of incompatibility as a primitive and defines negation in terms of it, has brought this question to the fore. Francesco Berto proposes such a semantics for negation argues that, since incompatibility must be symmetric, double negation introduction must be a law of negation. However, he offers no argument for the claim that incompatibility really must be symmetric. Here, I (...) provide such an argument, showing that, insofar as we think of incompatibility in normative pragmatic terms, it can play its basic pragmatic function only if it is symmetric. The upshot is that we can vindicate Berto’s claim about the symmetry of incompatibility but only if we, pace Berto, think about incompatibility, in the first instance, as a pragmatic relation between acts rather than a semantic relation between contents. (shrink)

This document is a set of notes I took on QFT as a graduate student at the University of Pennsylvania, mainly inspired in lectures by Burt Ovrut, but also working through Peskin and Schroeder (1995), as well as David Tong’s lecture notes available online. They take a slow pedagogical approach to introducing classical field theory, Noether’s theorem, the principles of quantum mechanics, scattering theory, and culminating in the derivation of Feynman diagrams.

Various philosophers have long since been attracted to the doctrine that future contingent propositions systematically fail to be true—what is sometimes called the doctrine of the open future. However, open futurists have always struggled to articulate how their view interacts with standard principles of classical logic—most notably, with the Law of Excluded Middle. For consider the following two claims: Trump will be impeached tomorrow; Trump will not be impeached tomorrow. According to the kind of open futurist at issue, both of (...) these claims may well fail to be true. According to many, however, the disjunction of these claims can be represented as p ∨ ~p—that is, as an instance of LEM. In this essay, however, I wish to defend the view that the disjunction these claims cannot be represented as an instance of p ∨ ~p. And this is for the following reason: the latter claim is not, in fact, the strict negation of the former. More particularly, there is an important semantic distinction between the strict negation of the first claim [~] and the latter claim. However, the viability of this approach has been denied by Thomason, and more recently by MacFarlane and Cariani and Santorio, the latter of whom call the denial of the given semantic distinction “scopelessness”. According to these authors, that is, will is “scopeless” with respect to negation; whereas there is perhaps a syntactic distinction between ‘~Will p’ and ‘Will ~p’, there is no corresponding semantic distinction. And if this is so, the approach in question fails. In this paper, then, I criticize the claim that will is “scopeless” with respect to negation. I argue that will is a so-called “neg-raising” predicate—and that, in this light, we can see that the requisite scope distinctions aren’t missing, but are simply being masked. The result: a under-appreciated solution to the problem of future contingents that sees and as contraries, not contradictories. (shrink)

Luck egalitarians argue that distributive justice should be understood in terms of our capacity to be responsible for our choices. Both proponents and critics assume that the theory must rely on a comprehensive conception of responsibility. I respond to luck egalitarianism’s critics by developing a political conception of responsibility that remains agnostic on the metaphysics of free choice. I construct this political conception by developing a novel reading of John Rawls’ distinction between the political and the comprehensive. A surprising consequence (...) is that many responsibility-based objections to luck egalitarianism turn out to be objections to Rawls’ political liberalism as well. (shrink)

I give a pedagogical derivation of the Cramer-Rao Bound, which gives a lower bound on the variance of estimators used in statistical point estimation, commonly used to give numerical estimates of the systematic uncertainties in a measurement.

An “inferentialist” semantic theory for some language L aims to account for the meanings of the sentences of L solely in terms of the inferential rules governing their use. A “hyper-inferentialist” theory admits into the semantics only “narrowly inferential” rules that normatively relate sentences of L to other sentences of L. A “strong inferentialist” theory also admits into the semantics “broadly inferential” rules that normatively relate perceptual states to sentences of L or sentences of L to intentional actions. It is (...) widely thought that only the latter of these two sorts of semantic theories is at all viable. I argue here that the opposite is so. Negatively, strong inferentialism is viciously circular: including rules into the semantic theory that relate perceptual states to sentences of the language requires us to appeal, in individuating those perceptual states, to the very meanings for which we are supposed to be inferentially accounting. Hyper-inferentialism does not face this problem because it does not appeal to any nonlinguistic states. Positively, though hyper-inferentialism is widely thought to be a theoretical non-starter, I argue here that it is a genuine theoretical possibility insofar as it essentially includes cross-perspectival inferences, inferences along the lines of the one from the sentences “The ball is in front of n,” “The ball is red,” and “The lighting is good” to the sentence “n sees that the ball is red.” I make the further exegetical claim that Robert Brandom, though unanimously taken to be a strong inferentialist, is in fact a hyper-inferentialist. (shrink)

This Introduction has three sections, on "logical fatalism," "theological fatalism," and the problem of future contingents, respectively. In the first two sections, we focus on the crucial idea of "dependence" and the role it plays it fatalistic arguments. Arguably, the primary response to the problems of logical and theological fatalism invokes the claim that the relevant past truths or divine beliefs depend on what we do, and therefore needn't be held fixed when evaluating what we can do. We call the (...) sort of dependence needed for this response to be successful "dependence with a capital 'd'": Dependence. We consider different accounts of Dependence, especially the account implicit in the so-called "Ockhamist" response to the fatalistic arguments. Finally, we present the problem of future contingents: what could "ground" truths about the undetermined future? On the other hand, how could all such propositions fail to be true? (shrink)

Origen of Alexandria can be credited as the founder of a Christian speculative angelology, in which Christ the Logos is both the creator and the interpreter of the angels. He introduces the angels as the first created rational beings who, in contemplating the divine Word (Logos), freely choose to direct their will as holy angels in service to or wicked demons in antagonism against the love of God. The first created rational beings are divided into three orders: the angels, the (...) demons, and the neutral spirits of human souls. The angels remain closest in contemplation of the Logos, yet, due to their negligence, descend to unfold in the angelic hierarchy. The angels and demons thereafter guide the movements of all spirits, substances, and signs in the created world. The neutral spirits of human souls can choose to follow either the guidance of guardian angels or demons. And yet after the Incarnation, the angels are distinguished from the demons by their choice to follow Christ. Origen’s angelology has often been regarded as an early Christian alternative to Middle Platonic daemonologies. And after Karl Barth, his angelology has come to be dispensed from Christian theology. However, as Jean Daniélou has observed, Origen had previously departed from Platonic daemonology in affirming that angelic mediacy must pass away like the light of the stars before the brilliance of the Logos of Christ. He had, in this way, already assimilated the mediacy of the angels to the absolute mediation of Christ. And, in assimilating angelic to christic mediacy, Origen also attributes the reason with which the world is moved to the divine reason of the divine Word (Logos) of Christ in God. Origen’s angelology can thus be read both before and after Barth as a science of the angels. (shrink)

This paper addresses the important questions of whether love is possessive and, if so, in what way is it possessive and in what ways is it not. It argues that love is possessive in the way that loyalty is possessive, but it is not possessive in the ways that property-owners are possessive of their mere property, abusers are possessive of their partners, jealousy is possessive of the object it fears losing, or obsession is possessive of its object. By doing so (...) it hopes to shed light on the nature of love as not only possessive, but as loyal and possessive in a loyal way rather than in other ways that might be confused with love. (shrink)

According to existing accounts of indicative conditionals, any argument of the following form is valid: ϕ → ψ, ( ϕ ∧ ψ ) → χ ∴ ϕ → χ. Here, I present a set of counterexamples to show that there exist invalid arguments of this form. I argue that this data poses serious problems to variably strict accounts of conditionals, as such accounts are structurally unable to accommodate it. Dynamic strict accounts, however, are a different story. While existing dynamic strict (...) accounts do not accommodate the data, they are in principle able to, and I propose a modified dynamic strict account, drawing from von Fintel, that does. The key modification is this: whereas existing dynamic strict accounts take into account only the effects of conditional antecedents in changing the semantic context, the data shows that we must also take into account the effects of conditional consequents in changing the semantic context. (shrink)

Incompatibilism about responsibility and determinism is sometimes directly construed as the thesis that if we found out that determinism is true, we would have to give up the reactive attitudes. Call this "the consequence". I argue that this is a mistake: the strict modal thesis does not entail the consequence. First, some incompatibilists (who are also libertarians) may be what we might call *resolute responsibility theorists* (or "flip-floppers"). On this view, if we found out that determinism is true, this would (...) not be to find out that no one is responsible; instead, what this would suggest is that incompatibilism is after all false. Second, some incompatibilists may instead deny the claim that if we found out that no one deserves the reactiveattitudes, we would have to give up the reactive attitudes. Call this position *innocent incompatibilism*. I explore several different reasons why the fact that no one deserves the reactive attitudes likely does not translate into a requirement for us to give up the reactive attitudes. The upshot: incompatibilism may be practically irrelevant, even if true. (shrink)

This paper develops a novel problem for representationalism (also known as "intentionalism"), a popular contemporary account of perception. We argue that representationalism is incompatible with supervaluationism, the leading contemporary account of vagueness. The problem generalizes to naive realism and related views, which are also incompatible with supervaluationism.