I claim that there is pro tanto moral reason for parents to not raise their child on a vegan diet because a vegan diet bears a risk of harm to both the physical and the social well-being of children. After giving the empirical evidence from nutrition science and sociology that supports this claim, I turn to the question of how vegan parents should take this moral reason into account. Since many different moral frameworks have been used to argue for veganism, (...) this is a complex question. I suggest that, on some of these moral frameworks, the moral reason that some parents have for not raising their child on a vegan diet on account of this risk is plausibly as strong as the reason they have for raising their child on a vegan diet. In other words, the moral reason I outline is weighty enough to justify some vegan parents in plausibly finding it permissible to not raise their child on a vegan diet. (shrink)

We argue that Hamiltonian mechanics is more fundamental than Lagrangian mechanics. Our argument provides a non-metaphysical strategy for privileging one formulation of a theory over another: ceteris paribus, a more general formulation is more fundamental. We illustrate this criterion through a novel interpretation of classical mechanics, based on three physical conditions. Two of these conditions suffice for recovering Hamiltonian mechanics. A third condition is necessary for Lagrangian mechanics. Hence, Lagrangian systems are a proper subset of Hamiltonian systems. Finally, we provide (...) a geometric interpretation of the principle of stationary action and rebut arguments for privileging Lagrangian mechanics. (shrink)

I examine how co-parents should handle differing commitments about how to raise their child. Via thought experiment and the examination of our practices and affective reactions, I argue for a thesis about the locus of parental authority: that parental authority is invested in full in each individual parent, meaning that that the command of one parent is sufficient to bind the child to act in obedience. If this full-authority thesis is true, then for co-parents to command different things would be (...) for them to contest one another’s authority. The only course that respects the authority of both parents is for co-parents to agree to command the same thing. Further, what is commanded must not result from a ‘capitulation’ by one co-parent, rather, it should result from a compromise. Parental authority involves a duty to deliberate about which commands it is best to give the child. If a command results from a capitulation, one parent will rightly think of themselves as not having fulfilled their parental duty. Parental compromises are not best understood as bargains or conflicts, but by the metaphor of gifts given by each parent out of respect for the other’s authority. (shrink)

Science frequently gives us multiple, compatible ways of solving the same problem or formulating the same theory. These compatible formulations change our understanding of the world, despite providing the same explanations. According to what I call "conceptualism," reformulations change our understanding by clarifying the epistemic structure of theories. I illustrate conceptualism by analyzing a typical example of symmetry-based reformulation in chemical physics. This case study poses a problem for "explanationism," the rival thesis that differences in understanding require ontic explanatory differences. (...) To defend conceptualism, I consider how prominent accounts of explanation might accommodate this case study. I argue that either they do not succeed, or they generate a skeptical challenge. (shrink)

Accounts of scientific explanation disagree about what’s required for a cause, law, or other fact to be a reason why an event occurs. In short, they disagree about the conditions for explanatory relevance. Nonetheless, most accounts presuppose that claims about explanatory relevance play a descriptive role in tracking reality. By rejecting the need for this descriptivist assumption, I develop an expressivist account of explanatory relevance and explanation: to judge that an answer is explanatory is to express an attitude of _being (...) for being satisfied by that answer_. I show how expressivism vindicates ordinary scientific discourse about explanation, including claims about the objectivity and mind-independence of explanations. By avoiding commitment to ontic relevance relations, I rehabilitate an irrealist conception of explanation. (shrink)

Why does institutional police brutality continue so brazenly? Criminologists and other social scientists typically theorize about the causes of such violence, but less attention is given to normative questions regarding the demands of justice. Some philosophers have taken a teleological approach, arguing that social institutions such as the police exist to realize collective ends and goods based upon the idea of collective moral responsibility. Others have approached normative questions in policing from a more explicit social-contract perspective, suggesting that legitimacy is (...) derived by adhering to (limited) authority. This article examines methodologies within political philosophy for analyzing police injustice. The methodological inquiry leads to an account of how justice constrains the police through both special (or positional) moral requirements that officers assume voluntarily, as well as general moral requirements in virtue of a polity’s commitment to moral, political and legal values beyond law enforcement and crime reduction. The upshot is a conception of a police role that is constrained by justice from multiple foundational stances. (shrink)

ABSTRACT Co-parents who differ in their ideal child rearing policies should compromise, argues Marcus William Hunt. Josh Milburn and Carlo Alvaro dispute this when it comes to veganism. Milburn argues that veganism is a matter of justice and that to compromise over justice is (typically) impermissible. I suggest that compromise over justice is often permissible, and that compromise over justice may be required by justice itself. Alvaro offers aesthetic, gustatory, and virtue-based arguments for ethical veganism, showing that veganism involves (...) sensibilities and virtues, and argues that veganism involves a belief. Alvaro takes this to show that parental compromise is impermissible. I suggest that Alvaro’s arguments are implausible and that the shaping of a child’s sensibilities and virtues is an apt matter for parental compromise. (shrink)

There is a growing sense that many liberal states are in the midst of a shift in legal and political norms—a shift that is happening slowly and for a variety of reasons relating to security. The internet and tech booms—paving the way for new forms of electronic surveillance—predated the 9/11 attacks by several years, while the police’s vast use of secret informants and deceptive operations began well before that. On the other hand, the recent uptick in reactionary movements—movements in which (...) the rule of law seems expendable—began many years after 9/11 and continues to this day. One way to describe this book is an examination of the moral limits on modern police practices that flow from the basic legal and political tenets of the liberal tradition. The central argument is that policing in liberal states is constrained by a liberal conception of persons coupled with particular rule of law principles. Part I consists of three chapters that constitute the book’s theoretical foundation, including an overview of the police’s law enforcement role in the liberal polity and a methodology for evaluating that role. Part II consists of three chapters that address applications of the theory, including the police’s use of informants, deceptive operations, and surveillance. The upshot is that policing in liberal societies has become illiberal in light of its response to both internal and external threats to security. The book provides an account of what it might mean to retrieve policing that is consistent with the basic tenets of liberalism and the limits imposed by those tenets. [This is an uncorrected draft of the book's preface and introduction, forthcoming from Oxford University Press.]. (shrink)

Reformulating a scientific theory often leads to a significantly different way of understanding the world. Nevertheless, accounts of both theoretical equivalence and scientific understanding have neglected this important aspect of scientific theorizing. This essay provides a positive account of how reformulation changes our understanding. My account simultaneously addresses a serious challenge facing existing accounts of scientific understanding. These accounts have failed to characterize understanding in a way that goes beyond the epistemology of scientific explanation. By focusing on cases in which (...) we have differences in understanding without differences in explanation, I show that understanding does not reduce to explanation. (shrink)

Frankfurt cases are purported counterexamples to the Principle of Alternative Possibilities, which implies that we are not morally responsible for unavoidable actions. A major permutation of the counterexample strategy features buffered alternatives; this permutation is designed to overcome an influential defense of the Principle of Alternative Possibilities. Here we defend the buffering strategy against two recent objections, both of which stress the timing of an agent’s decision. We argue that attributions of moral responsibility aren’t time-sensitive in the way the objectors (...) suppose. We then turn to the crucial question of when an action is relevantly avoidable—when, in the parlance of the literature, an alternative possibility is robust. We call attention to two plausible tests for robustness that merit further consideration, showing that the agents in buffered Frankfurt cases don’t pass these tests, despite being morally responsible for their actions. (shrink)

This paper offers a theory of filial piety on which piety is the ethical virtue that responds to the action of person-creating. Piety is the virtue of a creature qua creature. I begin by identifying the action of person-creating as the action of a parent. I then offer some points from the philosophy of action to delineate the action of person-creating. Next, I explain the metaphysical states that this action gives rise to and their value. Parent and child fall in (...) the category of relatives, discussed by Aristotle in his Categories. More specifically, Aristotle says that parent and child are relatives as creator and created. Agreeing with but going beyond Aristotle, I show how parent and child are creator and created as paradigm and image. A pious child is one who images their paradigm well. A child does this by participating in and perfecting the person-creating action of their parent, that is, by being a good person. I argue for the theory’s acceptance on the grounds that it better explains common intuitive judgments about filial piety than do the gratitude theory and the special goods theory (the two most influential and plausible competing theories of filial piety in the philosophical literature). (shrink)

One strategy in recent discussions of theological fatalism is to draw on Harry Frankfurt’s famous counterexamples to the principle of alternate possibilities (PAP) to defend human freedom from divine foreknowledge. For those who endorse this line, “Frankfurt counterexamples” are supposed to show that PAP is false, and this conclusion is then extended to the foreknowledge case. This makes it critical to determine whether Frankfurt counterexamples perform as advertised, an issue recently debated in this journal via a pair of articles by (...) David Widerker and John Martin Fischer. I suggest that this debate can be avoided: divine foreknowledge is itself aparadigmatic counterexample to PAP, requiring no support from suspect Frankfurt counterexamples. (shrink)

This paper seeks to rehabilitate St. Augustine’s widely dismissed response to the alleged incompatibility of divine foreknowledge and free will. This requires taking a fresh look at his analysis in On Free Choice of the Will, and arguing its relevance to the current debate. Along the way, mistaken interpretations of Augustine are rebutted, his real solution is developed and defended, a reason for his not anticipating Boethius’s a temporalist solution is suggested, a favorable comparison with Ockham is made, rival solutions (...) are rejected, and the aporetic nature of the problem is explained. (shrink)

This book provides a comprehensive examination of the police role from within a broader philosophical context. Contending that the police are in the midst of an identity crisis that exacerbates unjustified law enforcement tactics, Luke William Hunt examines various major conceptions of the police—those seeing them as heroes, warriors, and guardians. The book looks at the police role considering the overarching societal goal of justice and seeks to present a synthetic theory that draws upon history, law, society, psychology, and (...) philosophy. Each major conception of the police role is examined in light of how it affects the pursuit of justice, and how it may be contrary to seeking justice holistically and collectively. The book sets forth a conception of the police role that is consistent with the basic values of a constitutional democracy in the liberal tradition. Hunt’s intent is that clarifying the police role will likewise elucidate any constraints upon policing strategies, including algorithmic strategies such as predictive policing. This book is essential reading for thoughtful policing and legal scholars as well as those interested in political philosophy, political theory, psychology, and related areas. Now more than ever, the nature of the police role is a philosophical topic that is relevant not just to police officials and social scientists, but to everyone. (shrink)

Policing in many parts of the world—the United States in particular—has embraced an archetypal model: a conception of the police based on the tenets of individuated archetypes, such as the heroic police “warrior” or “guardian.” Such policing has in part motivated moves to (1) a reallocative model: reallocating societal resources such that the police are no longer needed in society (defunding and abolishing) because reform strategies cannot fix the way societal problems become manifest in (archetypal) policing; and (2) an algorithmic (...) model: subsuming policing into technocratic judgements encoded in algorithms through strategies such as predictive policing (mitigating archetypal bias). This paper begins by considering the normative basis of the relationship between political community and policing. It then examines the justification of reallocative and algorithmic models in light of the relationship between political community and police. Given commitments to the depth and distribution of security—and proscriptions against dehumanizing strategies—the paper concludes that a nonideal-theory priority rule promoting respect for personhood (manifest in community and dignity-promoting policing strategies) is a necessary condition for the justification of the above models. (shrink)

Why are teleological arguments based on biological phenomena so popular? My explanation is that teleological properties are presented in our experiences of biological phenomena. I contrast this with the view that the attribution of teleological properties to biological phenomena takes place at an intellective level – via inference, and as belief or similar propositional attitude. I suggest five ways in which the experiential view is the better explanation for the popularity of such teleological arguments. Experiential attributions are more easy, impactful, (...) and implastic. The experiential view accommodates cases of conflicting attributions, and it makes sense of the readiness with which we follow such teleological arguments. I respond to objections and explain how my view builds on existing answers to this question found in the philosophical literature. (shrink)

The paper offers a three-premise argument that a person with first-hand experience of possession and exorcism, such as an exorcist, can have a justified belief in the existence of demons. (1) “Exorcism involves a process by which the exorcist comes to believe that testimony is offered by a demon.” Cited for (1) are the Gospels, the Roman Ritual, some modern cases of exorcism, and exorcism practices in non-Christian contexts. (2) “If defeaters are absent, the exorcist may treat as reliable the (...) process by which he comes to believe that testimony is offered by a demon.” For (2) a case is offered that we have a reliable ability to identify when testimony is being offered and when it is being offered by particular types of agents, what is termed testifier-identification. (3) “In many cases of exorcism, defeaters are absent.” An inductive case is given for (3) by responding to possible defeaters, including several suggested recently by David Kyle Johnson. Therefore, in many cases of exorcism the exorcist may treat as reliable the processes by which he comes to believe that testimony is offered by a demon, and so can have a justified belief in the existence of demons. (shrink)

The use of deception and dishonesty is widely accepted as a fact of life in policing. This paper thus defends a counterintuitive claim: Good faith is a normative foundation for the police as a political institution. Good faith is a core value of contracts, and policing is contractual in nature both broadly (as a matter of social contract theory) and narrowly (in regard to concrete encounters between law enforcement officers and the public). Given the centrality of good faith to policing, (...) dishonesty and deception on par with fraud are justified only as a narrowly circumscribed investigative tool that is constrained by institutional commitments to the fair distribution of security and the rule of law. The practical upshot is the preclusion of most dishonest and deceptive police tactics on par with fraud, leading to an institution that is less proactive and more reactive. (shrink)

This paper argues that it cannot be fitting to blame God. I show that divine immutability, even on a weak conception, implies that God's ethical character cannot change. I then argue that blame aims at a change in the ethical character of the one blamed. This claim is directly intuitive, explains a wide set of intuitions about when blame is unfitting, and is implied by most of the theories blame offered in the philosophical literature. Since blame targeted at God aims (...) to change God's ethical character, an impossibility, such blame is not fitting. I then draw on this conclusion to sketch a new theodicy. I argue that a necessary condition on being blameworthy is that one can be blamed under some possible condition. So, God cannot be blameworthy. Further, I argue that if someone cannot be blameworthy, then they cannot do wrong. Wrong actions tend to make us blameworthy, but since God cannot be blameworthy nothing can tend to make him blameworthy – God cannot do wrong. (shrink)

This article addresses two issues. First, it critiques a prominent position regarding how affluent states should balance their national interest on the one hand and their duty to aid developing states on the other. Second, it suggests that absent a principled way to balance national interest with international aid, a state’s more immediate concern is to comply with its negative duty to not harm other states. To support this position, the article constructs a conception of harm that may be applied (...) to questions regarding a state’s negative duties, focusing upon the example of the Trade-Related Aspects of Intellectual Property Rights Agreement (TRIPS). (shrink)

Essay on police legitimacy through public reason and community policing.

This is a contribution to an Author Meets Critics special issue on John Martin Fischer's _Our Fate: Essays on God and Free Will_.

The thesis of this paper is that Platonic Forms are angels. I make this identification by claiming that Platonic Forms have the characteristics of angels, in particular, that Platonic Forms are alive. I offer four arguments for this claim. First, it seems that engaging in self-directed action is a sufficient condition for being alive. The Forms are, as teleological activities, self-directed actions. Second, bodies receive their being from their Forms, and some bodies are essentially alive. Third, in the Good, all (...) the types of goodness, including life, are identical. The Forms are appearances of the Good. Fourth, since the Good imparts as much goodness as it can, the Forms are alive unless there is some bar to their being alive. There are good reasons to think that there is no such bar. I then show that ethical vices do not give body to human form, but give body to other forms—those that are evil angels. Lastly, I provide a survey of the relationships that various religious traditions posit between ethical vice and the demonic. (shrink)

In Aristotle’s account of change, lacking a form is called privation (Physics I.7 191a14). For example, someone takes on the form of being musical only from previously having the privation of being unmusical. However, he also states that “shape and nature are spoken of in two ways, for the privation too is in a way form” (Physics II.1 193b19). I will demonstrate that these seemingly contradictory statements are not actually in tension. Since all perceptible matter must be enformed, we would (...) have trouble discussing things that have yet to undergo generation, like menstrual fluid, and things that have undergone corruption, like corpses, if we did not cite the privation as a sort of form. I will argue that, given his commitment to hylomorphism, Aristotle is committed to privation being a form in a qualified sense. It cannot be a form in an unqualified sense because privation often spoils the matter such that it can no longer be reformed. The fact of the matter is we cannot draw a bright line between privation and form because the two are contraries and can be said to hold to different degrees at different points on a spectrum. (shrink)

According to the thesis of divine ‘middle knowledge’, first propounded by the Jesuit theologian Luis de Molina in the sixteenth century, subjunctive conditionals stating how free agents would freely respond under counter-factual conditions may be straightforwardly true, and thus serve as the objects of divine knowledge. This thesis has provoked considerable controversy, and the recent revival of interest in middle knowledge, initiated by Anthony Kenny, Robert Adams and Alvin Plantinga in the 1970s, has led to two ongoing debates. One is (...) a theoretical debate over the very intelligibility of middle knowledge;1 the other is a practical debate over its philosophical and theological utility.2. (shrink)

Plato’s Laws include what H.L.A. Hart called the ‘classical thesis’ about the nature and role of law: the law exists to see that one leads a morally good life. This paper develops Hart’s brief remarks by providing a panorama of the classical thesis in Laws. This is done by considering two themes: (1) the extent to which Laws is paternalistic, and (2) the extent to which Laws is naturalistic. These themes are significant for a number of reasons, including because they (...) show how Laws might be viewed as a sophisticated forerunner of natural law theory. The upshot is that Plato's metaphysical commitments about legal ontology allow him to base the truth of legal propositions on the way they relate to the truth of corresponding moral propositions. (shrink)

Siblings ought to treat one another specially – in other words, siblings qua siblings ought to treat one another in ways that they need not treat others. This paper offers a theory of why this is the case. The paper begins with some intuitive judgments about how siblings ought to treat one another and some other normative features of siblinghood. I then review three potential theories of why siblings ought to treat one another specially, adapted from the literature on filial (...) piety: the gratitude theory, the friendship theory, and the special goods theory. In each case, these theories fail to explain some of the intuitive judgments about how siblings ought to treat one another. The paper then proposes a familial belonging theory. The institution of the family has certain goals, which impose normative demands on family members. I suggest that one such family goal is that every member feel familial belonging towards every other member, a goal which grounds the ways in which siblings ought to treat one another specially. (shrink)

The paper begins with a description of a grey seal performing conspecific infanticide. The paper then gives an account of “nobleness” and “brutishness.” Roughly, a behavioural-disposition is noble/brutish if it is one that would be a moral virtue/vice if the possessor of the behavioural-disposition were a moral agent. The paper then advances two pairs of axiological claims. The first pair of claims is that nobleness is good and that brutishness is bad. The second pair of claims is about an axiological (...) interaction between nobleness/brutishness and well-being. That any non-human animal lacks well-being is bad. Yet, it is worse that a noble non-human animal lacks well-being, and not so bad that a brutish non-human animal lacks well-being. Lastly, the paper discusses some potential moral implications of these axiological claims, for instance that factory farming is especially wrong because it causes noble non-human animals to lack well-being. (shrink)

The principle of alternate possibilities (PAP), making the ability to do otherwise a necessary condition for moral responsibility, is supposed by Harry Frankfurt, John Fischer, and others to succumb to a peculiar kind of counterexample. The paper reviews the main problems with the counterexample that have surfaced over the years, and shows how most can be addressed within the terms of the current debate. But one problem seems ineliminable: because Frankfurt''s example relies on a counterfactual intervener to preclude alternatives to (...) the person''s action, it is not possible for it to preclude all alternatives (intervention that is contingent upon a trigger cannot bring it about that the trigger never occurred). This makes it possible for the determined PAPist to maintain that some pre-intervention deviation is always available to ground moral responsibility. In reply, the critic of PAP can examine all the candidate deviations and argue their irrelevance to moral responsibility (a daunting prospect); or the critic can dispense with counterfactual intervention altogether. The paper pursues the second of these strategies, developing three examples of noncounterfactual intervention in which (i) the agent has no alternatives (and a fortiori no morally relevant alternatives), yet (ii) there is just as much reason to think that the agent is morally responsible as there was in Frankfurt''s original example. The new counterexamples do suffer from one liability, but this is insufficient in the end to repair PAP''s conceptual connection between moral responsibility and alternate possibilities. (shrink)

Essay on philosophical problems with police sting operations and the legal doctrine of entrapment.

The article argues that procreation is intrinsically valuable because it produces persons. The essential thought of the argument is that among the valuable things in the world are not only products, but the actions by which they are produced. The first premise is that persons have great value, for which a common consent argument is offered. The second premise is that, as an action type, procreation has persons as a product. Procreation is always a part of the action that produces (...) a person. This is because procreators take as their goal the creation of an organism that itself has development into a person as a goal. Such a claim also helps explain the moral obligations of procreators, the affective lives of procreators and the common preference for procreation. The third premise is that if an action type has a product of value, then all its tokens have intrinsic value. I argue that even when such actions fail to produce anything outside the agent, they are intrinsically valuable because of how they actualise the powers and virtues of the agent, in part achieving the agent’s goal. I then apply that argument to the case of procreation and person producing. (shrink)

Classes in higher education often consist of both lecture and laboratory time for the subject of physics. An example of experience-based learning would be doing experiments in the classroom. Kolb's theory of experiential learning posits that learning is a process that involves the generation of knowledge via the accumulation of experience. However, due to the fact that doing experiments in a laboratory takes much more time and money than other methods of instruction, the usage of labs in the classroom has (...) become a contentious topic. The primary objective of this research was to report on the activities that students of physics participated in during their physics laboratory lessons. Interviews with four different individuals were conducted utilizing a semi-structured format. Giorgi's descriptive phenomenological method was used, and the findings revealed the following constituents: (1) the clarification, visualization, and retention of concepts; (2) the application of learnings acquired from the laboratory; (3) involvement, cooperation, and interaction; (4) laboratory manuals and equipment; and (5) challenges. Recommendations were formulated to improve the Physics laboratory. (shrink)

The traditional doctrine of divine omniscience ascribes to God the fully exercised power to know all truths. but why is God’s excellence with respect to knowing not treated on a par with his excellence with respect to doing, where the latter requires only that God have the power to do all things? The prima facie problem with divine ”omni-knowledgeability’ -- roughly, being able to know whatever one wants to know whenever one wants to know it -- is that knowledge requires (...) an internal representation, whereas mere ”knowledgeability’ does not. I argue to the contrary that knowledge does not require an internal representation, and that even if it did, an omni-knowledgeable God would satisfy this requirement. omni-knowledgeability therefore represents a distinct understanding of God’s cognitive excellence while satisfying the traditional insistence on full omniscience. (shrink)

Immanuel Kant mentions fate (Schicksal) in several places. Peter Thielke offers the only sustained interpretation of what Kant meant by fate. According to Thielke, fate is a “usurpatory concept” that takes the place of causality but fails to do its job. There are problems with this interpretation, relative to Kant’s philosophy and to the ordinary concept of fate. It is not clear why we only find a usurpation of causality and not the other concepts of the categories, or how a (...) usurpation of an a priori concept could occur. Thielke’s interpretation does not explain the way in which fate attributions are only made about events that have significance for human action or well-being, or fate’s teleological aspect. I outline the textual evidence that, for Kant, fate usurps providence, a postulate of practical reason, and then show how this interpretation preserves the strengths but avoids the weaknesses of its competitor. (shrink)

I first argue that the Matrix trilogy is a Gnostic cyber-epic; I then use this interpretive lens to review the films' treatment of fundamental questions in epistemology, metaphysics, and value theory.

This paper offers fictionalism as a new approach to the problem of reasonable disagreement discussed in social epistemology. The conciliationist approach to reasonable disagreement is defined, and three problems with it are posed: that it is destructive of inquiry, self-defeating, and unacceptably revisionary. Hans Vaihinger’s account of fictions is explained, and it is shown that if the intellectual commitments that are the subject of reasonable disagreements are treated as fictions rather than as beliefs, the three noted problems are avoided. Whereas (...) beliefs have a “rivalrous” relation to the source of their justification (evidence), fictions have a non-rivalrous relation to the source of their justification (expediency), meaning that disagreement over which fictions to employ is not problematic in the way that disagreement over what to believe is. Some objections to the fictionalist approach to reasonable disagreement are answered. (shrink)

Science and mathematics continually change in their tools, methods, and concepts. Many of these changes are not just modifications but progress---steps to be admired. But what constitutes progress? This dissertation addresses one central source of intellectual advancement in both disciplines: reformulating a problem-solving plan into a new, logically compatible one. For short, I call these cases of compatible problem-solving plans "reformulations." Two aspects of reformulations are puzzling. First, reformulating is often unnecessary. Given that we could already solve a problem using (...) an older formulation, what do we gain by reformulating? Second, some reformulations are genuinely trivial or insignificant. Merely replacing one symbol with another does not lead to intellectual progress. What distinguishes significant reformulations from trivial ones? According to what I call "conceptualism" (or "conceptual empiricism"), reformulations are intellectually significant when they provide a different plan for solving problems. Significant reformulations provide inferentially different routes to the same solution. In contrast, trivial reformulations provide exactly the same problem-solving plans, and hence they do not change our understanding. This answers the second question about what distinguishes trivial from significant reformulations. However, the first question remains: what makes a new way of solving an old problem valuable? Here, a bevy of practical considerations come to mind: one formulation might be faster, less complicated, or use more familiar concepts. According to "instrumentalism," these practical benefits are all there is to reformulating. Some reformulations are simply more instrumentally valuable for meeting the aims of science than others. At another extreme, "fundamentalism" contends that a reformulation is valuable when it provides a more fundamental description of reality. According to this view, some reformulations directly contribute to the metaphysical aim of carving reality at its joints. Conceptualism develops a middle ground between instrumentalism and fundamentalism, preserving their benefits without their costs. I argue that the epistemic value of significant reformulations does not reduce to either practical or metaphysical value. Reformulations are valuable because they are a constitutive part of problem-solving. Both science and mathematics aim at solving all possible problems within their respective domains. Meeting this aim requires being able to plan for any possible problem-solving context, and this requires reformulating. By reformulating, we clarify what we need to know to solve problems. Still, one might wonder whether the value of reformulations requires underlying differences in explanatory power. According to "explanationism," a reformulation is valuable only when it provides a better explanation. Explanationism stands as a rival middle ground position to my own. However, it faces numerous counterexamples. In many cases, two reformulations provide the same explanation while nonetheless providing different ways of understanding a phenomenon. Hence, reformulating can be valuable even when neither formulation is more explanatory. Methodologically, I draw on a variety of case studies to support my account of reformulation. These range from classical mechanics to quantum chemistry, along with examples from mathematics. Symmetry arguments provide a paradigmatic example: the mathematics of symmetry groups radically recasts quantum mechanics and quantum chemistry. Nevertheless, elementary approaches exist that eschew this additional mathematical apparatus, solving problems in a more tedious but less mathematically-demanding manner. Further examples include reformulations of quantum field theory, Arabic vs. Roman numerals, and Fermat's little theorem in number theory. In each case, my account identifies how reformulations change and improve our understanding of science and mathematics. (shrink)

Where is consciousness? Neurobiological theories of consciousness look primarily to synaptic firing and “spike codes” as the physical substrate of consciousness, although the specific mechanisms of consciousness remain unknown. Synaptic firing results from electrochemical processes in neuron axons and dendrites. All neurons also produce electromagnetic (EM) fields due to various mechanisms, including the electric potential created by transmembrane ion flows, known as “local field potentials,” but there are also more meso-scale and macro-scale EM fields present in the brain. The functional (...) role of these EM fields has long been a source of debate. We suggest that these fields, in both their local and global forms, may be the primary seat of consciousness, working as a gestalt with synaptic firing and other aspects of neuroanatomy to produce the marvelous complexity of minds. We call this assertion the “electromagnetic field hypothesis.” The neuroanatomy of the brain produces the local and global EM fields but these fields are not identical with the anatomy of the brain. These fields are produced by, but not identical with, the brain, in the same manner that twigs and leaves are produced by a tree’s branches and trunk but are not the same as the branches and trunk. As such, the EM fields represent the more granular, both spatially and temporally, aspects of the brain’s structure and functioning than the neuroanatomy of the brain. The brain’s various EM fields seem to be more sensitive to small changes than the neuroanatomy of the brain. We discuss issues with the spike code approach as well as the various lines of evidence supporting our argument that the brain’s EM fields may be the primary seat of consciousness. This evidence (which occupies most of the paper) suggests that oscillating neural EM fields may make firing in neural circuits oscillate, and these oscillating circuits. may help unify and guide conscious cognition. (shrink)