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 establish that, due to certain quantum indeterminacies, there must be foundational colours that do not reliably cause any particular experience. This report functions as an appendix to Morrison's "Colour in a Physical World.".

Plato and Xenophon: Comparative Studies contains a wide variety of comparative studies of the writings of Plato and Xenophon, from philosophical, literary, and historical perspectives.

Before a general cognitive model for recurrent complex visual hallucinations (RCVH) is accepted, there must be more research into the neuropsychological and cognitive characteristics of the various disorders in which they occur. Currently available data are insufficient to distinguish whether the similar phenomenology of RCVH across different disorders is in fact produced by a single or by multiple cognitive mechanisms.

Technology Education offers an authentic and invaluable range of skills, knowledge, capabilities, contexts and ways of thinking for learners in the 21st century. However, it is recognised that it occupies a comparatively less defined and more fragile curricular position than associated, but longer established, subjects such as Mathematics and Science. While recognising that no single factor lies behind such a condition, this paper draws upon thinking in the philosophy of technology, technology education and the ontology of artefacts to argue that (...) transformation may be considered as an epistemic source for technology in a similar way to ‘proof’ within Mathematics and ‘interpretation’ within Science. Encapsulating technology's intimate relationship with materials, it is ultimately argued that the transformation of a technical artefact from an ill-defined into a well-defined ontological state constitutes a prime source of technological knowledge for pupils. Moreover, it provides an alternative route into further consideration about the nature of the domain, epistemology and curricular identity of the subject. (shrink)

Technology Education offers an authentic and invaluable range of skills, knowledge, capabilities, contexts and ways of thinking for learners in the 21st century. However, it is recognised that it occupies a comparatively less defined and more fragile curricular position than associated, but longer established, subjects such as Mathematics and Science. While recognising that no single factor lies behind such a condition, this paper draws upon thinking in the philosophy of technology, technology education and the ontology of artefacts to argue that (...) transformation may be considered as an epistemic source for technology in a similar way to ‘proof’ within Mathematics and ‘interpretation’ within Science. Encapsulating technology's intimate relationship with materials, it is ultimately argued that the transformation of a technical artefact from an ill-defined into a well-defined ontological state constitutes a prime source of technological knowledge for pupils. Moreover, it provides an alternative route into further consideration about the nature of the domain, epistemology and curricular identity of the subject. (shrink)

Technology Education offers an authentic and invaluable range of skills, knowledge, capabilities, contexts and ways of thinking for learners in the 21st century. However, it is recognised that it occupies a comparatively less defined and more fragile curricular position than associated, but longer established, subjects such as Mathematics and Science. While recognising that no single factor lies behind such a condition, this paper draws upon thinking in the philosophy of technology, technology education and the ontology of artefacts to argue that (...) transformation may be considered as an epistemic source for technology in a similar way to ‘proof’ within Mathematics and ‘interpretation’ within Science. Encapsulating technology's intimate relationship with materials, it is ultimately argued that the transformation of a technical artefact from an ill-defined into a well-defined ontological state constitutes a prime source of technological knowledge for pupils. Moreover, it provides an alternative route into further consideration about the nature of the domain, epistemology and curricular identity of the subject. (shrink)

This carefully selected and integrated series of discourses on the central issues of political life presents Robert M. MacIver's views on ethics and politics, society and the state, government and political change, war and peace, and the conditions of a viable international order. It is both a key to the astonishing scope and versatility of MacIver's mind and a major contribution to political thought. Politics and Society elucidates some of the major themes and essential problems of political theory. Here are (...) incisive essays on the nature of understanding in social and political science; on the discontinuities between ethics and politics that render difficult, yet imperative, the ordering of a multigroup society; and on the ever-present tensions between liberty and authority, private interests and the common good. Here too are MacIver's assessments of the forces that make for social change and the transformations requisite to the establishment of a viable international order. And here, with sensitivity and wisdom, are MacIver's articulations of relevant ends and their realization through appropriate means. David Spitz provided a lengthy introduction to this volume on its first publication in 1969 assessing the importance of MacIver's teachings as well as relating these essays within the broader context of MacIver's political and social thought. The republication of this collection now attests to Spitz's conclusion: "The rewards that await the reader of these essays support my conviction that MacIver's eminent achievements, in both method and vision, stamp him as the most distinguished of our social and political theorists."Robert M. MacIver (1882-1970) was Lieber Professor of Political Philosophy and Sociology at Columbia University (1929-1950) and held many other academic posts, directorships and honorary degrees, and in 1962 came out of retirement to be chancellor of the New School for Social Research. Among his most important books were Social Causation and Community, a Sociological Study. David Spitz was professor of political science at Columbia University. He was the author among other books of The Liberal Idea of Freedom. The David and Elaine Spitz Prize is awarded every year for the best book in liberal and/or democratic theory by the International Conference for the Study of Political Thought in his honor. (shrink)

How do we thrive in our behaviors and experiences? Positive neuroscience research illuminates the brain mechanisms that enable human flourishing. Supported by the John Templeton Foundation's Positive Neuroscience Project, which Martin E. P. Seligman established in 2008, Positive Neuroscience provides an intersection between neuroscience and positive psychology.In this edited volume, leading researchers describe the neuroscience of social bonding, altruism, and the capacities for resilience and creativity. Part I describes the mechanisms that enable humans to connect with one another. Part II (...) focuses on the neural mechanisms underlying the human ability and willingness to confer costly benefits on others. Part III examines the mechanisms by which human brains overcome adversity, create, and discover. Specific topics include: a newly discovered nerve type that appears to be specialized for emotional communication; the effects of parenting on the male brain; how human altruism differs from that of other primates; the neural features of extraordinary altruists who have donated kidneys to strangers; and distinctive patterns of brain wiring that endow some people with exceptional musical abilities. Accessible to a broad academic audience, from advanced undergraduates to senior scholars, these subjects have generated a fascinating and highly convergent set of ideas and results, shaping our understanding of human nature. (shrink)

Do the rich descriptions and narrative shapings of literature provide a valuable resource for readers, writers, philosophers, and everyday people to imagine and confront the ultimate questions of life? Do the human activities of storytelling and complex moral decision-making have a deep connection? What are the moral responsibilities of the artist, critic, and reader? What can religious perspectives—from Catholic to Protestant to Mormon—contribute to literary criticism? Thirty well known contributors reflect on these questions, including iterary theorists Marshall Gregory, James Phelan, (...) and Wayne Booth; philosophers Martha Nussbaum, Richard Hart, and Nina Rosenstand; and authors John Updike, Charles Johnson, Flannery O'Connor, and Bernard Malamud. Divided into four sections, with introductory matter and questions for discussion, this accessible anthology represents the most crucial work today exploring the interdisciplinary connections between literature, religion and philosophy. (shrink)

Plato's Euthyrphro, Apology, andCrito portray Socrates' words and deeds during his trial for disbelieving in the Gods of Athens and corrupting the Athenian youth, and constitute a defense of the man Socrates and of his way of life, the philosophic life. The twelve essays in the volume, written by leading classical philosophers, investigate various aspects of these works of Plato, including the significance of Plato's characters, Socrates's revolutionary religious ideas, and the relationship between historical events and Plato's texts.

BackgroundThe ARRIVE (Animal Research: Reporting of In Vivo Experiments) guidelines are widely endorsed but compliance is limited. We sought to determine whether journal-requested completion of an ARRIVE checklist improves full compliance with the guidelines.MethodsIn a randomised controlled trial, manuscripts reporting in vivo animal research submitted to PLOS ONE (March–June 2015) were randomly allocated to either requested completion of an ARRIVE checklist or current standard practice. Authors, academic editors, and peer reviewers were blinded to group allocation. Trained reviewers performed outcome adjudication (...) in duplicate by assessing manuscripts against an operationalised version of the ARRIVE guidelines that consists 108 items. Our primary outcome was the between-group differences in the proportion of manuscripts meeting all ARRIVE guideline checklist subitems.ResultsWe randomised 1689 manuscripts (control: n = 844, intervention: n = 845), of which 1269 were sent for peer review and 762 (control: n = 340; intervention: n = 332) accepted for publication. No manuscript in either group achieved full compliance with the ARRIVE checklist. Details of animal husbandry (ARRIVE subitem 9b) was the only subitem to show improvements in reporting, with the proportion of compliant manuscripts rising from 52.1 to 74.1% (X2 = 34.0, df = 1, p = 2.1 × 10−7) in the control and intervention groups, respectively.ConclusionsThese results suggest that altering the editorial process to include requests for a completed ARRIVE checklist is not enough to improve compliance with the ARRIVE guidelines. Other approaches, such as more stringent editorial policies or a targeted approach on key quality items, may promote improvements in reporting. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Human Goodness: Pragmatic Variations on Platonic ThemesCatherine E. MorrisonHuman Goodness: Pragmatic Variations on Platonic Themes by Paul Schollmeier Cambridge: Cambridge University Press, 2006. Pp. x + 302. $80.00, cloth.This is a book about spirits—human, godly, ghostly, and alcoholic. Paul Schollmeier's Human Goodness: Pragmatic Variations on Platonic Themes explores how humble humans act morally in an absurd world. Schollmeier contends that the Socratic spirit, or daimon, of self-knowledge and (...) hypothesis testing provides the foundation for a deeply human moral philosophy. It is, in Schollmeier's elegant phrasing, daimonic rather than eudaimonic, joining Aristotle and Plato with William James, as well as contributions from the ghosts of David Hume and Immanuel Kant and a few rounds of whiskey. Spirits abound! Mixing Socratic skepticism with Jamesian empiricism, Schollmeier argues that we act best when we apply general principles held as opinion (not as certain knowledge), and tested through experience, to our particular situation. When these opinions yield fruit, we find ourselves less at the whim of our capricious surroundings; when they do not, we are obliged to recognize the provisional nature of our opinions and change them. The ends of these day-to-day activities reflect a far grander cosmological order, one we ignore to our mortal (and moral) peril. It is by engaging in this intellectual activity that we are made happy, and it is in measured pursuit of this happiness that we are virtuous. Our actions are neither absolutely true nor perfect. They are instead the best that we can do. And for a reviewer attempting to encapsulate a finely nuanced book in a small space, this is comforting advice indeed. [End Page 190]The book begins with a puzzle: The curious twin claims in Plato's Apology that, true to the Delphic oracle's proclamation, Socrates is both wise and knows nothing. The key to this apparent paradox, Schollmeier contends, is the difference between divine knowledge, "ultimate, nonhypothetical knowledge of final causes" (6), and human knowledge, which is hypothetical only. Schollmeier marshals William James to argue that as humans, we encounter objects of knowledge perceptually; even our concepts are fashioned from this meager material. Without access to divine knowledge, humans must test hypotheses and assume that they are true only provisionally.James's (and Hume's) emphasis on the passions as the foundation for action, however, gives Schollmeier pause. In order to construct a moral philosophy that avoids absolutism but remains objective, Schollmeier argues for a harmony between the intellectual and the passional that is ultimately rational, our Socratic daimon. We are neither gods nor animals. Should we surrender rationality to desire, Schollmeier warns in concert with Socrates, our already fragile perceptual knowledge will be further distorted by fickle emotion. It is precisely because our grasp on the world is so tenuous that we must pay heed to cool intellect rather than hot passion.Such skepticism of our claim to know might make one hesitant to engage in the enigmatic world—but we have no choice! In order to find our hybrid daimon, both Socratic and pragmatic, Schollmeier suggests rhetoric as the methodology best suited to serving practical knowledge because it eschews certainty in favor of probability and acknowledges that the hypotheses on which we act are tentative and revisable. To this end, Schollmeier highlights the enthymeme and argument by example as the two techniques that best suit the nature of our hypothetical knowledge, and he urges a return to philodoxy, the love of opinion.Giving up our claim to certainty need not be a dismal proposition. Having established his methodology, Schollmeier begins building a moral philosophy that embraces an ontology of change and contends that our happiness provides us with stability in the form of a rational teleology. The objects of our human happiness are fleeting and changeable, so happiness cannot be static but is, rather, an activity that is its own end, "an activity that is an intellectual inquiry" (78). Our happiness is contingent on our ability to hypothetically determine, in our particular setting, our function and then fulfill this role to the best of our abilities. Depending on the setting, it may be dancing, parenting, or simply a lively... (shrink)

In an influential article, A. I. Sabra identified an intellectual trend from twelfth and thirteenth-century Andalusia which he described as the ‘‘Andalusian revolt against Ptolemaic astronomy.” Philosophers such as Ibn Rushd , Ibn Tufayl , and Maimonides objected to Ptolemy’s theories on philosophic grounds, not because of shortcomings in the theories' predictive accuracy. Sabra showed how al-Bitrūjī's Kitāb al-Hay'a attempted to account for observed planetary motions in a way that met the philosophic standards of those philosophers and others. In Nūr (...) al-‘ālam , the subject of this article, Joseph ibn Joseph ibn Nahmias endeavoured to improve upon al-Bitrūjī’s models. Levi Ben Gerson's Hebrew writings on astronomy criticized al-Bitrūjī, but Ibn Nahmias did not mention them. Nūr al-‘ālam deserves attention, too, because it is the first Arabic text on theoretical astronomy by a Jewish author to come to light. In the body of this article, I will describe and analyze Ibn Nahmias’ theory, from Nūr al-‘ālam , for the motion of the sun. (shrink)

The debate between the Mendelians and the (largely Darwinian) biometricians has been referred to by R. A. Fisher as ‘one of the most needless controversies in the history of science’ and by David Hull as ‘an explicable embarrassment’. The literature on this topic consists mainly of explaining why the controversy occurred and what factors prevented it from being resolved. Regrettably, little or no mention is made of the issues that figured in its resolution. This paper deals with the latter (...) topic and in doing so reorients the focus of the debate as one between Karl Pearson and R. A. Fisher rather than between the biometricians and the Mendelians. One reason for this reorientation is that Pearson's own work in 1904 and 1909 suggested that Mendelism and biometry could, to some extent, be made compatible, yet he remained steadfast in his rejection of Mendelism. The interesting question then is why Fisher, who was also a proponent of biometric methods, was able to synthesise the two traditions in a way that Pearson either could not or would not. My answer to this question involves an analysis of the ways in which different kinds of assumptions were used in modelling Mendelian populations. I argue that it is these assumptions, which lay behind the statistical techniques of Pearson and Fisher, that can be isolated as the source of Pearson's rejection of Mendelism and Fisher's success in the synthesis. (shrink)

Protagoras, of all the ancient philosophers, has perhaps attracted the most interest in modern times. His saying ‘Man is the measure of all things’ caused Schiller to adopt him as the patron of the Oxford pragmatists, and has generally earned him the title of the first humanist. Yet the exact delineation of his philosophcal position remains a baffling task. Neumann, writing on Die Problematik des ‘Homo-mensura’ Satzes in 1938,2 concludes that no certainty whatever can be reached on the meaning of (...) the dictum, since ‘man’, ‘measure’, and ‘things’ are all ambiguous, nor can we tell which of the three is the predicate. The time is past when it was believed that a man's philosophy could be understood apart from the events of his life and the circumstances of his age: yet in the case of Protagoras the historical method of approach has hardly been attempted, although the impact of environment was perhaps more decisive in the formation of philosophical concepts in the Greek world than anywhere else. The reality about which the Greek philosopher spoke had three aspects: it was either the one universe of physics, or the political unity, or God. For example, the book of Heracleitus Περ φσεως was divided into three chapters or logoi, About the Whole, a political, and a theological. Neither physics nor theology supplies from its own subject-matter the form in which this reality was described. (shrink)

In this book, which thoroughly revises and greatly expands his classic work Sameness and Substance, David Wiggins retrieves and refurbishes in the light of twentieth-century logic and logical theory certain conceptions of identity, of substance and of persistence through change that philosophy inherits from its past. In this new version, he vindicates the absoluteness, necessity, determinateness and all or nothing character of identity against rival conceptions. He defends a form of essentialism that he calls individuative essentialism, and then a (...) form of realism that he calls conceptualist realism. In a final chapter he advocates a human being-based conception of the identity and individuation of persons, arguing that any satisfactory account of personal memory must make reference to the life of the rememberer himself. This important book will appeal to a wide range of readers in metaphysics, philosophical logic, and analytic philosophy. (shrink)

Lipsey and Lancaster's "general theory of second best" is widely thought to have significant implications for applied theorizing about the institutions and policies that most effectively implement abstract normative principles. It is also widely thought to have little significance for theorizing about which abstract normative principles we ought to implement. Contrary to this conventional wisdom, I show how the second-best theorem can be extended to myriad domains beyond applied normative theorizing, and in particular to more abstract theorizing about the normative (...) principles we should aim to implement. I start by separating the mathematical model used to prove the second-best theorem from its familiar economic interpretation. I then develop an alternative normative-theoretic interpretation of the model, which yields a novel second best theorem for idealistic normative theory. My method for developing this interpretation provides a template for developing additional interpretations that can extend the reach of the second-best theorem beyond normative theoretical domains. I also show how, within any domain, the implications of the second-best theorem are more specific than is typically thought. I conclude with some brief remarks on the value of mathematical models for conceptual exploration. (shrink)

Artificial intelligence has historically been conceptualized in anthropomorphic terms. Some algorithms deploy biomimetic designs in a deliberate attempt to effect a sort of digital isomorphism of the human brain. Others leverage more general learning strategies that happen to coincide with popular theories of cognitive science and social epistemology. In this paper, I challenge the anthropomorphic credentials of the neural network algorithm, whose similarities to human cognition I argue are vastly overstated and narrowly construed. I submit that three alternative supervised learning (...) methods—namely lasso penalties, bagging, and boosting—offer subtler, more interesting analogies to human reasoning as both an individual and a social phenomenon. Despite the temptation to fall back on anthropomorphic tropes when discussing AI, however, I conclude that such rhetoric is at best misleading and at worst downright dangerous. The impulse to humanize algorithms is an obstacle to properly conceptualizing the ethical challenges posed by emerging technologies. (shrink)

A collection of 14 essays honoring the life and work of Oxford philosopher Wiggins touching on topics from ancient philosophy to ethics, metaphysics and the theory of meaning. The contributing scholars debate many of the seminal issues of Wiggins' work, including the determinancy of distinctness, relative identity, naturalism in ethics, logic and truth in moral judgments, and the practical wisdom of Aristotle. The collection uniquely features replies by Wiggins to each of the papers. Annotation copyright by Book News, Inc., Portland, (...) OR. (shrink)

Drawing on work of the past decade, this volume brings together articles from the philosophy, history, and sociology of science, and many other branches of the biological sciences. The volume delves into the latest theoretical controversies as well as burning questions of contemporary social importance. The issues considered include the nature of evolutionary theory, biology and ethics, the challenge from religion, and the social implications of biology today (in particular the Human Genome Project).

According to dispositionalism about modality, a proposition <p> is possible just in case something has, or some things have, a power or disposition for its truth; and <p> is necessary just in case nothing has a power for its falsity. But are there enough powers to go around? In Yates (2015) I argued that in the case of mathematical truths such as <2+2=4>, nothing has the power to bring about their falsity or their truth, which means they come out both (...) necessary and not possible. Combining this with axiom (T), it is easy to derive a contradiction. I suggested that dispositionalists ought to retreat a little and say that <p> is possible just in case either p, or there is a power to bring it about that p, grounding the possibility of mathematical propositions in their truth rather than in powers. Vetter’s (2015) has the resources to provide a response to my argument, and in her (2018) she explicitly addresses it by arguing for a plenitude of powers, based on the idea that dispositions come in degrees, with necessary properties a limiting case of dispositionality. On this view there is a power for <2+2=4>, without there being a power to bring about its truth. In this paper I argue that Vetter’s case for plenitude does not work. However, I suggest, if we are prepared to accept metaphysical causation, a case can be made that there is indeed a power for <2+2=4>. (shrink)

Spinoza's causal axiom is at the foundation of the Ethics. I motivate, develop and defend a new interpretation that I call the ‘causally restricted interpretation’. This interpretation solves several longstanding puzzles and helps us better understand Spinoza's arguments for some of his most famous doctrines, including his parallelism doctrine and his theory of sense perception. It also undermines a widespread view about the relationship between the three fundamental, undefined notions in Spinoza's metaphysics: causation, conception and inherence.

This article presents a critical reevaluation of the thesis—closely associated with H. L. A. Hart, and central to the views of most recent legal philosophers—that the idea of state coercion is not logically essential to the definition of law. The author argues that even laws governing contracts must ultimately be understood as “commands of the sovereign, backed by force.” This follows in part from recognition that the “sovereign,” defined rigorously, at the highest level of abstraction, is that person or entity (...) identified by reference to game theory and the philosophical idea of “convention” as the source of signals with which the subject population has become effectively locked, as a group, into conformity. (shrink)

Why study notations, diagrams, or more broadly the variety of nonverbal “representations” or “signs” that are used in mathematical practice? This chapter maps out recent work on the topic by distinguishing three main philosophical motivations for doing so. First, some work (like that on diagrammatic reasoning) studies signs to recover norms of informal or historical mathematical practices that would get lost if the particular signs that these practices rely on were translated away; work in this vein has the potential to (...) broaden our view of the specific normativity of mathematics beyond logical proof. Second, some work focuses on signs to highlight the open-ended and “nonrigorous” aspects of mathematical practice, and the role of these aspects in the historical development of mathematics. The third motivation is based on the following observation: the reason differences in signs matter in mathematics is that humans are finite agents, with cognitive and computational limitations. Accordingly, studying signs can be a way to study how human computational constraints shape the mathematics that we do, and to tackle the topic of mathematical understanding. (shrink)

The typical kind of color realism is reductive: the color properties are identified with properties specified in other terms (as ways of altering light, for instance). If no reductive analysis is available — if the colors are primitive sui generis properties — this is often taken to be a convincing argument for eliminativism. That is, realist primitivism is usually thought to be untenable. The realist preference for reductive theories of color over the last few decades is particularly striking in light (...) of the generally anti-reductionist mood of recent philosophy of mind. The parallels between the mind—body problem and the case of color are substantial enough that the difference in trajectory is surprising. While dualism and non-reductive physicalism are staples, realist primitivism is by and large a recent addition to the color literature. And it remains a minority position, although one that is perhaps gaining support. In this paper, we investigate whether it should be accepted, and conclude it should not be. (shrink)

We propose a formal framework for interpretable machine learning. Combining elements from statistical learning, causal interventionism, and decision theory, we design an idealised explanation game in which players collaborate to find the best explanation for a given algorithmic prediction. Through an iterative procedure of questions and answers, the players establish a three-dimensional Pareto frontier that describes the optimal trade-offs between explanatory accuracy, simplicity, and relevance. Multiple rounds are played at different levels of abstraction, allowing the players to explore overlapping causal (...) patterns of variable granularity and scope. We characterise the conditions under which such a game is almost surely guaranteed to converge on a optimal explanation surface in polynomial time, and highlight obstacles that will tend to prevent the players from advancing beyond certain explanatory thresholds. The game serves a descriptive and a normative function, establishing a conceptual space in which to analyse and compare existing proposals, as well as design new and improved solutions. (shrink)

One of the hallmarks of Kantian philosophy, especially in connection with its characterization of scientific knowledge, is the importance of unity, a theme that is also the driving force behind a good deal of contemporary high energy physics. There are a variety of ways that unity figures in modern science—there is unity of method where the same kinds of mathematical techniques are used in different sciences, like physics and biology; the search for unified theories like the unification of electromagnetism and (...) optics by Maxwell; and, more recently, the project of grand unification or the quest for a theory of everything which involves a reduction of the four fundamental forces under the umbrella of a single theory. In this latter case it is thought that when energies are high enough, the forces, while very different in strength, range and the types of particles on which they act, become one and the same force. The fact that these interactions are known to have many underlying mathematical features in common suggests that they can all be described by a unified field theory. Such a theory describes elementary particles in terms of force fields which further unifies all the interactions by treating particles and interactions in a technically and conceptually similar way. It is this theoretical framework that allows for the prediction that measurements made at a certain energy level will supposedly indicate that there is only one type of force. In other words, not only is there an ontological reduction of the forces themselves but the mathematical framework used to describe the fields associated with these forces facilitates their description in a unified theory. Specific types of symmetries serve an important function in establishing these kinds of unity, not only in the construction of quantum field theories but also in the classification of particles; classifications that can lead to new predictions and new ways of understanding properties like quantum numbers. Hence, in order to address issues about unification and reduction in contemporary physics we must also address the way that symmetries facilitate these processes. (shrink)

This is an in-depth study of J.G. Fichte’s philosophy of mathematics and theory of geometry. It investigates both the external formal and internal cognitive parallels between the axioms, intuitions and constructions of geometry and the scientific methodology of the Fichtean system of philosophy. In contrast to “ordinary” Euclidean geometry, in his Erlanger Logik of 1805 Fichte posits a model of an “ursprüngliche” or original geometry – that is to say, a synthetic and constructivistic conception grounded in ideal archetypal elements that (...) are grasped through geometrical or intelligible intuition. -/- Accordingly, this study classifies Fichte’s philosophy of mathematics as a whole as a species of mathematical Platonism or neo-Platonism, and concludes that the Wissenschaftslehre itself may be read as an attempt at a new philosophical mathesis, or “mathesis of the mind.” -/- “This work testifies to the author's exact and extensive knowledge of the Fichtean texts, as well as of the philosophical, scientific and historical contexts. Wood has opened up completely new paths for Fichte research, and examines with clarity and precision a domain that up to now has hardly been researched.” Professor Dr. Marco Ivaldo -/- “This study, written in a language distinguished by its limpidity and precision, and constantly supported by a close reading of the Fichtean texts and secondary literature, furnishes highly detailed and convincing demonstrations. In directly confronting the difficult historical relationship between the Wissenschaftslehre and mathematics, the author has broken new ground that is at once stimulating, decidedly innovative, and elegantly audacious.” Professor Dr. Emmanuel Cattin. (shrink)