Institutional guidelines for transgender children and adolescent minors fail to adequately address a critical juncture of care of this population: how to proceed if a minor and their parents have disagreements concerning their gender-affirming medical care. Through arguments based on ethical, paediatric, adolescent and transgender health research, we illustrate ethical dilemmas that may arise in treating transgender and gender diverse youth. We discuss three potential avenues for providing gender-affirming care over parental disagreement: legal carve-outs to parental consent, the mature minor (...) doctrine and state intervention for neglect. Our discussion approaches this parent–child disagreement in a manner that prioritises the developing autonomy of transgender youth in the decision-making process surrounding medically assisted gender affirmation. We base our arguments in the literature surrounding the risks and benefits of gender-affirming therapy in transgender children and the existing legal basis for recognising minors’ decision-making authority in certain medical situations. (shrink)

We investigate the form of mathematical structuralism that acknowledges the existence of structures and their distinctive structural elements. This form of structuralism has been subject to criticisms recently, and our view is that the problems raised are resolved by proper, mathematics-free theoretical foundations. Starting with an axiomatic theory of abstract objects, we identify a mathematical structure as an abstract object encoding the truths of a mathematical theory. From such foundations, we derive consequences that address the main questions and issues that (...) have arisen. Namely, elements of different structures are different. A structure and its elements ontologically depend on each other. There are no haecceities and each element of a structure must be discernible within the theory. These consequences are not developed piecemeal but rather follow from our definitions of basic structuralist concepts. (shrink)

How far should our realism extend? For many years philosophers of mathematics and philosophers of ethics have worked independently to address the question of how best to understand the entities apparently referred to by mathematical and ethical talk. But the similarities between their endeavours are not often emphasised. This book provides that emphasis. In particular, it focuses on two types of argumentative strategies that have been deployed in both areas. The first—debunking arguments—aims to put pressure on realism by emphasising the (...) seeming redundancy of mathematical or moral entities when it comes to explaining our judgements. In the moral realm this challenge has been made by Gilbert Harman and Sharon Street; in the mathematical realm it is known as the 'Benacerraf-Field' problem. The second strategy—indispensability arguments—aims to provide support for realism by emphasising the seeming intellectual indispensability of mathematical or moral entities, for example when constructing good explanatory theories. This strategy is associated with Quine and Putnam in mathematics and with Nicholas Sturgeon and David Enoch in ethics. Explanation in Ethics and Mathematics addresses these issues through an explicitly comparative methodology which we call the 'companions in illumination' approach. By considering how argumentative strategies in the philosophy of mathematics might apply to the philosophy of ethics, and vice versa, the papers collected here break new ground in both areas. For good measure, two further companions for illumination are also broached: the philosophy of chance and the philosophy of religion. Collectively, these comparisons light up new questions, arguments, and problems of interest to scholars interested in realism in any area. (shrink)

What is free will? Can it exist in a determined universe? How can we determine who, if anyone, possesses it? Philosophers have been debating these questions for millennia. In recent decades neuroscientists have joined the fray with questions of their own. Which neural mechanisms could enable conscious control of action? What are intentional actions? Do contemporary developments in neuroscience rule out free will or, instead, illuminate how it works? Over the past few years, neuroscientists and philosophers have increasingly come to (...) understand that both fields can make substantive contributions to the free-will debate, so working together is the best path forward to understanding whether, when, and how our choices might be free. We therefore asked leading philosophers and neuroscientists which questions related to free will they would most like the other field to answer. Those experts then voted on the 15 most important questions for each field to answer. This book is a collection of the answers to those questions along with follow-up questions from world experts in the neuroscience and philosophy of free will. These varied perspectives will fascinate, illuminate, and stimulate students from both fields along with anyone who wants to be brought up to date on these profound issues. (shrink)

The class of stable posets is defined and investigated. We give a forcing construction of a universe of set theory which satisfies a weak form of Martin's Axiom and $2^{\aleph_0} > \aleph_1$ and yet some propositions which follow from CH hold in this universe.

This paper reexamines the historical debate between Leibniz and Newton on the nature of space. According to the traditional reading, Leibniz (in his correspondence with Clarke) produced metaphysical arguments (relying on the Principle of Sufficient Reason and the Principle of Identity of Indiscernibles) in favor of a relational account of space. Newton, according to the traditional account, refuted the metaphysical arguments with the help of an empirical argument based on the bucket experiment. The paper claims that Leibniz’s and Newton’s arguments (...) cannot be understood apart from the distinct dialectics of their respective positions vis-à-vis Descartes’ theory of space and physics. Against the traditional reading, the paper argues that Leibniz and Newton are operating within a different metaphysics and different conceptions of “place,” and that their respective arguments can largely remain intact without undermining the other philosopher’s conception of space. The paper also takes up the task of clarifying the distinction between true and absolute motion, and of explaining the relativity of motion implied by Leibniz’s account. The paper finally argues that the two philosophers have different conceptions of the relation between metaphysics and science, and that Leibniz’s attempt to base physical theory on an underlying metaphysical account of forces renders his account of physics unstable. (shrink)

While many take Newton's argument for absolute space to be an inference to the best explanation, some argue that Newton is primarily concerned with the proper definition of true motion, rather than with independent existence of spatial points. To an extent the latter interpretation is correct. However, all prior interpretations are mistaken in thinking that 'absolute motion' is defined as motion with respect to absolute space. Newton is also using this notion to refer to the quantity of motion (momentum). This (...) reading reveals a misunderstood argument for absolute space, according to which absolute space is necessary for a workable definition of momentum. (shrink)

This article examines Newton’s method of induction and its connection to methodological atomism. The article argues that Newton’s Rule III for the Study of Natural Philosophy is a criterion for isolating the primary qualities of the atomic parts; in other words, it interprets Rule III as a transductive inference. It is shown that both the standard inductive and invariance interpretations of Rule III can be subsumed under the transductive view, although the invariance criterion is reinterpreted; by qualities “that cannot be (...) intended or remitted,” Newton means qualities that are invariant under changes in the configuration of the atomic parts. (shrink)

This dissertation elucidates the notion of physical system which opens new conceptual pathways that connect the three realms of physical theory; spacetime, material bodies and their properties, and the laws of nature which govern their evolution. The notion of physical system includes two presuppositions regarding their structure. The first presupposition is a description of isolated systems and their evolution in time, which amounts to a Paradigm of Uniform Motion. The second presupposition describes how parts of a physical system are combined (...) into wholes. This presupposition amounts to a Rule of Composition. Once we make these presuppositions explicit we can derive the spacetime structures and the fundamental equations of motion. "Newtonian" and "relativistic" systems are shown to differ with respect to the paradigm of uniform motion, a difference that leads to the respective structures of Newtonian mechanics and the Special Theory of Relativity. ;The philosophical framework offered in this dissertation provides a new interpretation of the concept of mass, and a new elucidation of the relation between the conservations of mass and momentum. Previous analyses of the concept have claimed that "mass" cannot be defined and broken down to more primitive predicates. The framework offered here, on the other hand, enables the systematic reduction of the concept of mass to motions and the presuppositions we have regarding the nature of physical systems. The new interpretation of mass reveals a surprising connection between mass and inertial reference frames, as they are both shown to be derived, in a similar way, from our definition of physical systems. Mass is by necessity attributed to bodies in virtue of the frame we use to describe their motions. This account also enables us to understand the different conceptual roles of mass and their interconnections. In the context of Newtonian mechanics, the roles of mass as a Quantity of Matter, as the Inertial property of bodies, and as Gravitational mass are shown to be various aspects of a single role the concept has in the new framework offered here. In the context of the Special Theory of Relativity, rest mass and relativistic mass are similarly analyzed as consequences of our presuppositions regarding physical systems. (shrink)

The current study aims to examine how the intense emotions experienced by different Israeli groups during the 2006 Second Lebanon War affected their perceptions of risk. Two weeks after the end of the war, a questionnaire was distributed among 205 people. Some were from the north and had been directly affected by the rocket attacks; others were from the center of Israel. The questionnaires, based on Lerner et al., measured emotions and perceived risk. The results show significant differences between those (...) living in the north and those in the center of Israel. As expected, people living in the north reported more emotional difficulties during the war, greater perceived risk, and more pessimism in comparison to the center group. Moreover, the results point to significant differences between Israeli Jews and Israeli Arabs regarding emotions and perceived risk. In addition, the study results show a positive relation between anger and perceived risk. (shrink)

Biological phenomena can be investigated at multiple levels, from the molecular to the cellular to the organismic to the ecological. In typical biology instruction, these levels have been segregated. Yet, it is by examining the connections between such levels that many phenomena in biology, and complex systems in general, are best explained. We describe a computation-based approach that enables students to investigate the connections between different biological levels. Using agent-based, embodied modeling tools, students model the microrules underlying a biological phenomenon (...) and observe the resultant aggregate dynamics. We describe 2 cases in which this approach was used. In both cases, students framed hypotheses, constructed multiagent models that incorporate these hypotheses, and tested these by running their models and observing the outcomes. Contrasting these cases against traditionally used, classical equation-based approaches, we argue that the embodied modeling approach connects more directly to students’ experience, enables extended investigations as well as deeper understanding, and enables “advanced” topics to be productively introduced into the high school curriculum. (shrink)

According to Alix Cohen, Kant defines emotions as ‘feelings’. Although I find her account of Kantian feelings compelling, I provide three reasons to doubt that it is an account of emotions: (1) it is unclear why Cohen identifies emotions with Kantian feelings; (2) some Kantian feelings are not emotions; (3) some Kantian desires may be emotions. I propose, however, that with some qualifications Cohen’s account may be upheld, provided its extra-textual assumptions about emotions are explicated. Against her claim that Kantian (...) feelings have a derived intentionality, I argue that the text is compatible with their being intrinsically intentional. (shrink)

In this paper I argue that the positivist–conventionalist interpretation of the Restricted Principle of Relativity is flawed, due to the positivists’ own understanding of conventions and their origins. I claim in the paper that, to understand the conventionalist thesis, one has to diambiguate between three types of convention; the linguistic conventions stemming from the fundamental role of mathematical axioms, the conventions stemming from the coordination betweeh theoretical statements and physical, observable facts or entities, and conventions that are made possible by (...) possible revisions to theory. I claim that it is not possible to interpret the Principle of Relativity as based on one of these three types of convention. This renders the conventionalist interpretation of the Principle of Relativity untenable. The paper is part of a larger project that aims to understand the philosophical significance of the Principle of Relativity. (shrink)

In this paper I argue that the positivist–conventionalist interpretation of the Restricted Principle of Relativity is flawed, due to the positivists’ own understanding of conventions and their origins. I claim in the paper that, to understand the conventionalist thesis, one has to diambiguate between three types of convention; the linguistic conventions stemming from the fundamental role of mathematical axioms (conceptual conventions), the conventions stemming from the coordination betweeh theoretical statements and physical, observable facts or entities (coordinative definitions), and conventions that (...) are made possible by possible revisions to theory (the thesis of empirical underdetermination). I claim that it is not possible to interpret the Principle of Relativity as based on one of these three types of convention. This renders the conventionalist interpretation of the Principle of Relativity untenable. The paper is part of a larger project that aims to understand the philosophical significance of the Principle of Relativity. (shrink)

Moral philosophers are, among other things, in the business of constructing moral theories. And moral theories are, among other things, supposed to explain moral phenomena. Consequently, one’s views about the nature of moral explanation will influence the kinds of moral theories one is willing to countenance. Many moral philosophers are (explicitly or implicitly) committed to a deductive model of explanation. As I see it, this commitment lies at the heart of the current debate between moral particularists and moral generalists. In (...) this paper I argue that we have good reasons to give up this commitment. In fact, I show that an examination of the literature on scientific explanation reveals that we are used to, and comfortable with, non-deductive explanations in almost all areas of inquiry. As a result, I argue that we have reason to believe that moral explanations need not be grounded in exceptionless moral principles. (shrink)

Commentators provide two different accounts of desires in Kant: “feeling-based” accounts stress their connection with feelings, while “action-based” accounts view them as causes of action. I argue that “feeling-based” accounts blur the feeling-desire distinction, while the “action-based” accounts conflict with Kantian desires that do not cause action. On my alternative, Kantian desires are dispositions to action normally directed at producing future objects, and so they differ from the feelings they are connected to, which refer to the way we are affected (...) by objects. This account preserves the feeling-desire distinction, is compatible with desires that do not cause action, and anticipates holistic theories of desire that combine dispositional, hedonic, and evaluative components. (shrink)

Commentators disagree about Kant’s view on the proper treatment of emotions. In contrast to a tendency in this literature to treat them uniformly, I argue that, according to Kant, feelings (but not affects) require cultivation, and inclinations – although they can and perhaps may be cultivated – generally require discipline. The appropriate treatment for emotions depends on their susceptibility to rational constraint and on the threat they pose to rational deliberation. Although I read Kant as recommending that we cultivate certain (...) emotions, I argue that my reading is not vulnerable to Thomason’s recent pertinent objections to such readings. (shrink)

We present a theoretical model and corresponding research design (Bronfenbrenner & Ceci 1994) that could yield stronger evidence for (or perhaps against) Howe et al.'s conclusions. The model assesses levels of heritability (h²) under different amounts of training and practice, thus providing estimates of the independent contribution of “innate talent” to the quality of development outcomes. The design can also reveal the extent to which this independent contribution varies systematically as a function of other influential factors identified by Howe et (...) al. (shrink)

In this essay I offer a new particularist reading of Aristotle’s Nicomachean Ethics. I argue that the interpretation I present not only helps us to resolve some puzzles about Aristotle’s goals and methods, but it also gives rise to a novel account of morality—an account that is both interesting and plausible in its own right. The goal of this paper is, in part, exegetical—that is, to figure out how to best understand the text of the Nicomachean Ethics. But this paper (...) also aims to contribute to the current exciting and controversial debate over particularism. By taking the first steps towards a comprehensive particularist reading of Aristotle’s Ethics I hope to demonstrate that some of the mistrust of particularism is misplaces and that what is, perhaps, the most influential moral theory in the history of philosophy is, arguably, a particularist moral theory. (shrink)

What makes some acts morally right and others morally wrong? Traditionally, philosophers have thought that in order to answer this question we must find and formulate exceptionless moral principles—principles that capture all and only morally right actions. Utilitarianism and Kantianism are paradigmatic examples of such attempts. In recent years, however, there has been a growing interest in a novel approach—Particularism—although its precise content is still a matter of controversy. In this paper I develop and motivate a new formulation of particularism (...) as a research program and I show that my formulation is not vulnerable to the most common objections to particularism. Moreover, I argue that the particularist research program shows enough promise to warrant further exploration. (shrink)

We discuss the problem of finding forcing posets which introduce closed unbounded subsets to a given stationary set.

We examine how degrees of computably enumerable equivalence relations under computable reduction break down into isomorphism classes. Two ceers are isomorphic if there is a computable permutation of ω which reduces one to the other. As a method of focusing on nontrivial differences in isomorphism classes, we give special attention to weakly precomplete ceers. For any degree, we consider the number of isomorphism types contained in the degree and the number of isomorphism types of weakly precomplete ceers contained in the (...) degree. We show that the number of isomorphism types must be 1 or ω, and it is 1 if and only if the ceer is self-full and has no computable classes. On the other hand, we show that the number of isomorphism types of weakly precomplete ceers contained in the degree can be any member of $[0,\omega ]$. In fact, for any $n \in [0,\omega ]$, there is a degree d and weakly precomplete ceers ${E_1}, \ldots,{E_n}$ in d so that any ceer R in d is isomorphic to ${E_i} \oplus D$ for some $i \le n$ and D a ceer with domain either finite or ω comprised of finitely many computable classes. Thus, up to a trivial equivalence, the degree d splits into exactly n classes.We conclude by answering some lingering open questions from the literature: Gao and Gerdes [11] define the collection of essentially FC ceers to be those which are reducible to a ceer all of whose classes are finite. They show that the index set of essentially FC ceers is ${\rm{\Pi }}_3^0$-hard, though the definition is ${\rm{\Sigma }}_4^0$. We close the gap by showing that the index set is ${\rm{\Sigma }}_4^0$-complete. They also use index sets to show that there is a ceer all of whose classes are computable, but which is not essentially FC, and they ask for an explicit construction, which we provide.Andrews and Sorbi [4] examined strong minimal covers of downwards-closed sets of degrees of ceers. We show that if $\left$ is a uniform c.e. sequence of non universal ceers, then $\left\{ {{ \oplus _{i \le j}}{E_i}|j \in \omega } \right\}$ has infinitely many incomparable strong minimal covers, which we use to answer some open questions from [4].Lastly, we show that there exists an infinite antichain of weakly precomplete ceers. (shrink)

This paper considers the problem of how to evaluate an offender’s criminal record. This evaluation is part of the sentencing process carried out by a judge, and may be complicated in the case of offenders with a heavy record. We give a comprehensive overview of the approach to an offender’s past record in various (Western) countries, considering the two major approaches: desert-based and utilitarian. The paper describes the determination of the parameters involved in the evaluation, and the construction of a (...) decision support system to be used by a judge about to pass sentence in a criminal case. The system may be used as a stand-alone system, but can also be integrated as a component of a general sentencing support system, e.g. a statistical sentencing information system. The system is a knowledge-based system. The knowledge base (in rule-form) was created primarily by eliciting knowledge from experts (judges, lawyers, academics and probation officers), but also by applying statutory law, case law and legal authoritative texts. It is flexible in the sense, that a user can introduce his1 own preferences (expressed as numerical coefficients) and thereby apply different sentencing principles. The prototype is at present undergoing testing by some of the participating judges. (shrink)

Assuming the existence of a supercompact cardinal and a weakly compact cardinal above it, we provide a generic extension where there are no Aronszajn trees of height ω 2 or ω 3 . On the other hand we show that some large cardinal assumptions are necessary for such a consistency result.

The paper identifies a distinctive feature of friendship. Friendship, it is argued, is a relationship between two people in which each participant values the other and successfully communicates this fact to the other. This feature of friendship, it is claimed, explains why friendship plays a key role in human happiness, why it is praised by philosophers, poets, and novelists, and why we all seek friends. Although the characterization of friendship proposed here differs from other views in the literature, it is (...) shown that it accommodates key insights of other writers on the topic. Thus, in accordance with the Aristotelian strategy the paper employs, it is shown that the account on offer preserves the received opinions on friendship. (shrink)

In this paper I assess the viability of a particularist explanation of moral knowledge. First, I consider two arguments by Sean McKeever and Michael Ridge that purport to show that a generalist, principle-based explanation of practical wisdom—understood as the ability to acquire moral knowledge in a wide range of situations—is superior to a particularist, non-principle-based account. I contend that both arguments are unsuccessful. Then, I propose a particularist-friendly explanation of knowledge of particular moral facts. I argue that when we are (...) careful to keep separate the various explanatory tasks at hand we can see that a particularist-friendly explanation of the fact that Jane knows that A is morally right might not be so difficult to come by. Moreover, I suggest that a particularist approach to explaining knowledge of particular moral facts may go some way towards discharging the challenge of moral scepticism. (shrink)

Monists, pluralists, and particularists disagree about the structure of the best explanation of the rightness (wrongness) of actions. In this paper I argue that the availability of good moral advice gives us reason to prefer particularist theories and pluralist theories to monist theories. First, I identify two distinct roles of moral theorizing—explaining the rightness (wrongness) of actions, and providing moral advice—and I explain how these two roles are related. Next, I explain what monists, pluralists, and particularists disagree about. Finally, I (...) argue that particularists and pluralists are better situated than monists to explain why it is a good idea to think before we act, and that this gives us reason to favor particularism and pluralism over monism. (shrink)

We show that the theory of the partial order of computably enumerable equivalence relations (ceers) under computable reduction is 1-equivalent to true arithmetic. We show the same result for the structure comprised of the dark ceers and the structure comprised of the light ceers. We also show the same for the structure of L-degrees in the dark, light, or complete structure. In each case, we show that there is an interpretable copy of (N, +, \times) .

Many of us read Peter Singer ’ s work on our obligations to those in desperate need with our students. Famously, Singer argues that we have a moral obligation to give a significant portion of our assets to famine relief. If my own experience is not atypical, it is quite common for students, upon grasping the implications of Singer ’ s argument, to ask whether Singer gives to famine relief. In response it might be tempting to remind students of the (...) ad hominem fallacy of attacking the person advancing an argument rather than the argument itself. In this paper I argue that the “ ad hominem reply ” to students ’ request for information about Singer is misguided. First I show that biographical facts about the person advancing an argument can constitute indirect evidence for the soundness / unsoundness of the argument. Second, I argue that such facts are relevant because they may reveal that one can discard the argument without thereby incurring moral responsibility for failing to act on its conclusion even if the argument is sound. (shrink)

Descartes claimed that the Cogito is ‘so firm and sure that all the most extravagant suppositions of the sceptics were incapable of shaking it’. This paper aims to demonstrate that this claim is false by presenting a sceptical scenario for the Cogito. It is argued that the story ‘The Circular Ruins’ by J. L. Borges illustrates that one can doubt one’s own existence and that pace Descartes (and many others) the claim ‘I am, I exist, is necessarily true whenever it (...) is put forward by me or conceived in my mind’ is false. (shrink)

This paper aims to advance two claims. First, it aims to show that Hume's argument against the rationality of induction is sound. However, I claim that the conclusion does not follow merely from the self-defeating attempts to justify the rule of induction, unlike traditional readings of the argument. Rather, the skeptical conclusion must also take into account Hume's argument that the secret powers that are present in bodies and give rise to sensible qualities are unknowable. The paper's second aim is (...) to show that Newtonian induction escapes Hume's secret powers argument, given that it includes a transductive inference, from observable phenomena to the powers present in the ultimate parts of matter. Consequently Hume's argument against the rationality of induction does not demonstrate the non-rational nature of Newtonian induction. (shrink)

This paper contends that Bacon’s inductive method depends crucially on his general account of matter. I argue that Bacon develops a dynamic form of corpuscularianism, according to which aggregates of corpuscles undergo patterns of change that derive from active inclinations and appetites. The paper claims that Bacon’s corpuscularianism provides him with a theory of material form that enables him to theorize bodily change and possible material transformations. The point of natural histories and experiments is then to find the processes of (...) corpuscular change that correlate with making present or making absent simple natures. (shrink)

This paper aims to advance two claims. First, it aims to show that Hume’s argument against the rationality of induction is sound. However, I claim that the conclusion does not follow merely from the self-defeating attempts to justify the rule of induction, unlike traditional readings of the argument. Rather, the skeptical conclusion must also take into account Hume’s argument that the secret powers that are present in bodies and give rise to sensible qualities are unknowable. The paper’s second aim is (...) to show that Newtonian induction escapes Hume’s secret powers argument, given that it includes a transductive inference, from observable phenomena to the powers present in the ultimate parts of matter. Consequently Hume’s argument against the rationality of induction does not demonstrate the non-rational nature of Newtonian induction. (shrink)