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Explaining Beauty in Mathematics: An Aesthetic Theory of Mathematics (Synthese Library #370)
by Ulianov MontanoThis book develops a naturalistic aesthetic theory that accounts for aesthetic phenomena in mathematics in the same terms as it accounts for more traditional aesthetic phenomena. Building upon a view advanced by James McAllister, the assertion is that beauty in science does not confine itself to anecdotes or personal idiosyncrasies, but rather that it had played a role in shaping the development of science. Mathematicians often evaluate certain pieces of mathematics using words like beautiful, elegant, or even ugly. Such evaluations are prevalent, however, rigorous investigation of them, of mathematical beauty, is much less common. The volume integrates the basic elements of aesthetics, as it has been developed over the last 200 years, with recent findings in neuropsychology as well as a good knowledge of mathematics.The volume begins with a discussion of the reasons to interpret mathematical beauty in a literal or non-literal fashion, which also serves to survey historical and contemporary approaches to mathematical beauty. The author concludes that literal approaches are much more coherent and fruitful, however, much is yet to be done. In this respect two chapters are devoted to the revision and improvement of McAllister’s theory of the role of beauty in science. These antecedents are used as a foundation to formulate a naturalistic aesthetic theory. The central idea of the theory is that aesthetic phenomena should be seen as constituting a complex dynamical system which the author calls the aesthetic as process theory.The theory comprises explications of three central topics: aesthetic experience (in mathematics), aesthetic value and aesthetic judgment. The theory is applied in the final part of the volume and is used to account for the three most salient and often used aesthetic terms often used in mathematics: beautiful, elegant and ugly. This application of the theory serves to illustrate the theory in action, but also to further discuss and develop some details and to showcase the theory’s explanatory capabilities.
Explaining Disease: Philosophical Reflections on Medical Research and Clinical Practice (European Studies in Philosophy of Science)
by Raffaella CampanerThis interdisciplinary monograph in philosophy of medicine examines models of explanation in health science and their relation with current medical trends, such as personalized and person-centered medicine. Medicine has provided challenging case studies for the general philosophy of science that have prompted rethinking of a wide range of philosophical notions – such as scientific law, theory and evidence – and contributed to the elaboration of pluralistic approaches to modeling, causality and explanation. The health sciences have increasingly recognized the role of philosophy of medicine as both a field of conceptual and methodological reflection, capable of addressing practical issues, and hence relevant for a proper understanding of the construction of medical knowledge, modeling practices, therapeutic strategies and preventive decisions.'Explaining Disease' contains various case studies in medicine to describe the assumptions underpinning the construction of explanatory models of diseases. It shows the impact different explanatory strategies can have on practical matters, which in turn affect clinical evaluation and therapy and public health decisions. The book concludes with a few open-ended reflections to foster more thorough consideration of the role of philosophy of medicine can play its dialogue with the health sciences. [this sounds wrong. Either: of the role of philosophy of medicine in its dialogue with the sciences, or: of the role philosophy of medicine can play in its dialogue with the health sciences.
Explaining Emotions
by Amelie Oksenberg RortyThis volume approaches the problem of characterizing and classifying emotions from the perspectives of neurophysiology, psychology, social psychology and philosophical psychology and discuss the difficulties that arise in classifying, assessing and determining the emotions.
Explaining Explanation (Problems of Philosophy)
by David-Hillel RubenThis book introduces readers to the topic of explanation. The insights of Plato, Aristotle, J.S. Mill and Carl Hempel are examined, and are used to argue against the view that explanation is merely a problem for the philosophy of science. Having established its importance for understanding knowledge in general, the book concludes with a bold and original explanation of explanation.
Explaining Foreign Policy in Post-Colonial Africa
by Stephen M. MaguThis book explores foreign policy developments in post-colonial Africa. A continental foreign policy is a tenuous proposition, yet new African states emerged out of armed resistance and advocacy from regional allies such as the Bandung Conference and the League of Arab States. Ghana was the first Sub-Saharan African country to gain independence in 1957. Fourteen more countries gained independence in 1960 alone, and by May 1963, when the Organisation of African Unity (OAU) was formed, 30 countries were independent. An early OAU committee was the African Liberation Committee (ALC), tasked to work in the Frontline States (FLS) to support independence in Southern Africa. Pan-Africanists, in alliance with Brazzaville, Casablanca and Monrovia groups, approached continental unity differently, and regionalism continued to be a major feature. Africa’s challenges were often magnified by the capitalist-democratic versus communist-socialist bloc rivalry, but through Africa’s use and leveraging of IGOs – the UN, UNDP, UNECA, GATT, NIEO and others – to advance development, the formation of the African Economic Community, OAU’s evolution into the AU and other alliances belied collective actions, even as Africa implemented decisions that required cooperation: uti possidetis (maintaining colonial borders), containing secession, intra- and inter-state conflicts, rebellions and building RECs and a united Africa as envisioned by Pan Africanists worked better collectively.
Explaining Games
by Boudewijn De BruinDoes game theory - the mathematical theory of strategic interaction - provide genuine explanations of human behaviour? Can game theory be used in economic consultancy or other normative contexts? Explaining Games: The Epistemic Programme in Game Theory - the first monograph on the philosophy of game theory - is a bold attempt to combine insights from epistemic logic and the philosophy of science to investigate the applicability of game theory in such fields as economics, philosophy and strategic consultancy. De Bruin proves new mathematical theorems about the beliefs, desires and rationality principles of individual human beings, and he explores in detail the logical form of game theory as it is used in explanatory and normative contexts. He argues that game theory reduces to rational choice theory if used as an explanatory device, and that game theory is nonsensical if used as a normative device. A provocative account of the history of game theory reveals that this is not bad news for all of game theory, though. Two central research programmes in game theory tried to find the ultimate characterisation of strategic interaction between rational agents. Yet, while the Nash Equilibrium Refinement Programme has done badly thanks to such research habits as overmathematisation, model-tinkering and introversion, the Epistemic Programme, De Bruin argues, has been rather successful in achieving this aim.
Explaining Health Across the Sciences (Healthy Ageing and Longevity #12)
by Suresh I. S. Rattan Jonathan ShollThis edited volume aims to better understand the multifaceted phenomenon we call health. Going beyond simple views of health as the absence of disease or as complete well-being, this book unites scientists and philosophers. The contributions clarify the links between health and adaptation, robustness, resilience, or dynamic homeostasis, and discuss how to achieve health and healthy aging through practices such as hormesis. The book is divided into three parts and a conclusion: the first part explains health from within specific disciplines, the second part explores health from the perspective of a bodily part, system, function, or even the environment in which organisms live, and the final part looks at more clinical or practical perspectives. It thereby gathers, across 30 chapters, diverse perspectives from the broad fields of evolutionary and systems biology, immunology, and biogerontology, more specific areas such as odontology, cardiology, neurology, and public health, as well as philosophical reflections on mental health, sexuality, authenticity and medical theories. The overarching aim is to inform, inspire and encourage intellectuals from various disciplines to assess whether explanations in these disparate fields and across biological levels can be sufficiently systematized and unified to clarify the complexity of health. It will be particularly useful for medical graduates, philosophy graduates and research professionals in the life sciences and general medicine, as well as for upper-level graduate philosophy of science students.
Explaining Life through Evolution
by Prosanta ChakrabartyA broad overview of the science of evolution, and why understanding it matters in our everyday lives.Explaining Life through Evolution tells the origin story of life on this planet and how we arrived at the tremendous diversity among organisms that we see around us today. Prosanta Chakrabarty explains evolution in a concise, accessible, and engaging way, emphasizing the importance of understanding evolution in everyday contemporary life. Weaving his own lived experience among discussions of Darwin and the origins of evolutionary thought, Chakrabarty also covers key concepts to our understanding of our current condition, including mutation; the spectrum of race, sex, gender, and sexuality; the limitations of ancestry tests; and the evolution of viruses like SARS-CoV-2, the virus at the heart of the COVID-19 pandemic.Offering a contemporary update to classic popular evolution books by Stephen Jay Gould, Jerry Coyne, and others, Explaining Life through Evolution is not only an illuminating read, but also an essential guide to the kind of scientific literacy that we need in order to face the challenges of our collective future.
Explaining Right and Wrong: A New Moral Pluralism and Its Implications (Routledge Studies in Ethics and Moral Theory)
by Benjamin SachsExplaining Right and Wrong aims to shake the foundations of contemporary ethics by showing that moral philosophers have been deploying a mistaken methodology in their efforts to figure out the truth about what we morally ought to do. Benjamin Sachs argues that moral theorizing makes sense only if it is conceived of as an explanatory project and carried out accordingly. The book goes on to show that the most prominent forms of moral monism—consequentialism, Kantianism, and contractarianism/contractualism—as well as Rossian pluralism, each face devastating explanatory objections. It offers in place of these flawed options a brand-new family of normative ethical theories, non-Rossian pluralism. It then argues that the best kind of non-Rossian pluralism will be spare; in particular, it will deny that an action can be wrong in virtue of constituting a failure to distribute welfare in a particular way or that an action can be wrong in virtue of constituting a failure to rescue. Furthermore, it also aims to show that a great deal of contemporary writing on the distribution of health care resources in cases of scarcity is targeted at questions that either have no answers at all or none that ordinary moral theorizing can uncover.
Explaining Science's Success: Understanding How Scientific Knowledge Works (Acumen Research Editions Ser.)
by John WrightPaul Feyeraband famously asked, what's so great about science? One answer is that it has been surprisingly successful in getting things right about the natural world, more successful than non-scientific or pre-scientific systems, religion or philosophy. Science has been able to formulate theories that have successfully predicted novel observations. It has produced theories about parts of reality that were not observable or accessible at the time those theories were first advanced, but the claims about those inaccessible areas have since turned out to be true. And science has, on occasion, advanced on more or less a priori grounds theories that subsequently turned out to be highly empirically successful. In this book the philosopher of science, John Wright delves deep into science's methodology to offer an explanation for this remarkable success story.
Explaining Social Processes: Perspectives from Current Social Theory and Historical Sociology
by Jiří Šubrt Alemayehu Kumsa Massimiliano RuzzedduThis textbook considers understanding social processes to be the main task of sociology. From this perspective its authors demonstrate and explain problems which they consider to be crucial for contemporary social science. These are topics of a theoretical and epistemological nature, which are nevertheless closely connected with social development and issues arising from it. The book moves from the more general theoretical questions and dilemmas raised by key social thinkers, such as those connected with the concepts of actor, agency, institutions, structures and systems. It then leads to theoretical reflections on long-term developmental processes associated with the phenomena of power and life in current societies, including globalization, identities, migration, etc. It provides a comprehensive approach to the essential questions of sociology. Lucidly written and including the latest sociological perspectives, this book will find wide appeal among social science students and researchers, and is also for the socially aware general reader.
Explaining Support for Populism in Contemporary Latin America (Routledge Studies in Latin American Politics)
by Dinorah AzpuruExplaining Support for Populism in Contemporary Latin America investigates the stronghold that populism exerts on citizens in the developing world. More specifically, relying on regional surveys, this book explores why many citizens consistently supported eight populist presidents who were elected in contemporary Latin America. It examines the determinants of support for the populist presidents who governed Venezuela, Ecuador, Bolivia and Nicaragua between 1999 and 2019, and the variables that explain support for the most recent populist presidents in Mexico, Brazil and El Salvador between 2018 and 2023. Unique to this approach is a strong emphasis on the demand-side of populism and the use of country-specific survey data across the years. This book explores the determinants of support for populist presidents in four dimensions: demographic variables, ideological and policy-preference variables, performance variables, and variables related to representative democracy. Understanding what drives people to support populist leaders is critical for revitalizing representative democracy in Latin America. Furthermore, insights about the factors that lead citizens to support populism in Latin America can also inform the analysis of support for populism in other parts of the world.
Explaining Understanding: New Perspectives from Epistemology and Philosophy of Science
by Sabine Ammon Stephen R. Grimm Christoph BaumbergerWhat does it mean to understand something? What types of understanding can be distinguished? Is understanding always provided by explanations? And how is it related to knowledge? Such questions have attracted considerable interest in epistemology recently. These discussions, however, have not yet engaged insights about explanations and theories developed in philosophy of science. Conversely, philosophers of science have debated the nature of explanations and theories, while dismissing understanding as a psychological by-product. In this book, epistemologists and philosophers of science together address basic questions about the nature of understanding, providing a new overview of the field. False theories, cognitive bias, transparency, coherency, and other important issues are discussed. Its 15 original chapters are essential reading for researchers and graduate students interested in the current debates about understanding.
Explaining our Actions: A Critique of Common-Sense Theorizing
by Peter CarruthersWe often explain our actions and those of others using a commonsense framework of perceptions, beliefs, desires, emotions, decisions, and intentions. In his thoughtful new book, Peter Carruthers scrutinizes this everyday explanation for our actions, while also examining the explanatory framework through the lens of cutting-edge cognitive science. He shows that the 'standard model' of belief–desire psychology (developed, in fact, with scant regard for science) is only partly valid; that there are more types of action and action-explanation than the model allows; and that both ordinary folk and armchair philosophers are importantly mistaken about the types of mental state that the human mind contains. His book will be of great value to all those who rely in their work on assumptions drawn from commonsense psychology, whether in philosophy of mind, epistemology, moral psychology, ethics, or psychology itself. It will also be attractive to anyone with an interest in human motivation.
Explaining the Computational Mind
by Marcin MilkowskiIn this book, Marcin Milkowski argues that the mind can be explained computationally because it is itself computational -- whether it engages in mental arithmetic, parses natural language, or processes the auditory signals that allow us to experience music. Defending the computational explanation against objections to it -- from John Searle and Hilary Putnam in particular -- Milkowski writes that computationalism is here to stay but is not what many have taken it to be. It does not, for example, rely on a Cartesian gulf between software and hardware, or mind and brain. Milkowski's mechanistic construal of computation allows him to show that no purely computational explanation of a physical process will ever be complete. Computationalism is only plausible, he argues, if you also accept explanatory pluralism. Milkowski sketches a mechanistic theory of implementation of computation against a background of extant conceptions, describing four dissimilar computational models of cognition. He reviews other philosophical accounts of implementation and computational explanation and defends a notion of representation that is compatible with his mechanistic account and adequate vis à vis the four models discussed earlier. Instead of arguing that there is no computation without representation, he inverts the slogan and shows that there is no representation without computation -- but explains that representation goes beyond purely computational considerations. Milkowski's arguments succeed in vindicating computational explanation in a novel way by relying on mechanistic theory of science and interventionist theory of causation.
Explaining the Computational Mind
by Marcin MilkowskiA defense of the computational explanation of cognition that relies on mechanistic philosophy of science and advocates for explanatory pluralism. In this book, Marcin Milkowski argues that the mind can be explained computationally because it is itself computational—whether it engages in mental arithmetic, parses natural language, or processes the auditory signals that allow us to experience music. Defending the computational explanation against objections to it—from John Searle and Hilary Putnam in particular—Milkowski writes that computationalism is here to stay but is not what many have taken it to be. It does not, for example, rely on a Cartesian gulf between software and hardware, or mind and brain. Milkowski's mechanistic construal of computation allows him to show that no purely computational explanation of a physical process will ever be complete. Computationalism is only plausible, he argues, if you also accept explanatory pluralism.Milkowski sketches a mechanistic theory of implementation of computation against a background of extant conceptions, describing four dissimilar computational models of cognition. He reviews other philosophical accounts of implementation and computational explanation and defends a notion of representation that is compatible with his mechanistic account and adequate vis à vis the four models discussed earlier. Instead of arguing that there is no computation without representation, he inverts the slogan and shows that there is no representation without computation—but explains that representation goes beyond purely computational considerations. Milkowski's arguments succeed in vindicating computational explanation in a novel way by relying on mechanistic theory of science and interventionist theory of causation.
Explaining the Cosmos: The Ionian Tradition of Scientific Philosophy
by Daniel W. GrahamExplaining the Cosmos is a major reinterpretation of Greek scientific thought before Socrates. Focusing on the scientific tradition of philosophy, Daniel Graham argues that Presocratic philosophy is not a mere patchwork of different schools and styles of thought. Rather, there is a discernible and unified Ionian tradition that dominates Presocratic debates. Graham rejects the common interpretation of the early Ionians as "material monists" and also the view of the later Ionians as desperately trying to save scientific philosophy from Parmenides' criticisms. In Graham's view, Parmenides plays a constructive role in shaping the scientific debates of the fifth century BC. Accordingly, the history of Presocratic philosophy can be seen not as a series of dialectical failures, but rather as a series of theoretical advances that led to empirical discoveries. Indeed, the Ionian tradition can be seen as the origin of the scientific conception of the world that we still hold today.
Explanation and Proof in Mathematics
by Helmut Pulte Hans Niels Jahnke Gila HannaIn the four decades since Imre Lakatos declared mathematics a "quasi-empirical science," increasing attention has been paid to the process of proof and argumentation in the field -- a development paralleled by the rise of computer technology and the mounting interest in the logical underpinnings of mathematics. Explanantion and Proof in Mathematics assembles perspectives from mathematics education and from the philosophy and history of mathematics to strengthen mutual awareness and share recent findings and advances in their interrelated fields. With examples ranging from the geometrists of the 17th century and ancient Chinese algorithms to cognitive psychology and current educational practice, contributors explore the role of refutation in generating proofs, the varied links between experiment and deduction, the use of diagrammatic thinking in addition to pure logic, and the uses of proof in mathematics education (including a critique of "authoritative" versus "authoritarian" teaching styles). A sampling of the coverage: The conjoint origins of proof and theoretical physics in ancient Greece. Proof as bearers of mathematical knowledge. Bridging knowing and proving in mathematical reasoning. The role of mathematics in long-term cognitive development of reasoning. Proof as experiment in the work of Wittgenstein. Relationships between mathematical proof, problem-solving, and explanation. Explanation and Proof in Mathematics is certain to attract a wide range of readers, including mathematicians, mathematics education professionals, researchers, students, and philosophers and historians of mathematics.
Explanation and Teleology in Aristotle's Science of Nature
by Mariska LeunissenIn Aristotle's teleological view of the world, natural things come to be and are present for the sake of some function or end (for example, wings are present in birds for the sake of flying). Whereas much of recent scholarship has focused on uncovering the (meta-)physical underpinnings of Aristotle's teleology and its contrasts with his notions of chance and necessity, this book examines Aristotle's use of the theory of natural teleology in producing explanations of natural phenomena. Close analyses of Aristotle's natural treatises and his Posterior Analytics show what methods are used for the discovery of functions or ends that figure in teleological explanations, how these explanations are structured, and how well they work in making sense of phenomena. The book will be valuable for all who are interested in Aristotle's natural science, his philosophy of science, and his biology.
Explanation and Understanding (New Problems of Philosophy)
by Arnon LevyScience has multiple goals: to describe the world, as it is now; to predict the future and to make inferences about the past. Science also aims to understand the world – to explain why it is the way it is. But what does it take to explain a phenomenon? How does science generate understanding and what does that take?In this thorough and clearly written introduction to scientific explanation, Arnon Levy explores the following problems and questions: the background to the topic of scientific explanation, particularly the questions of what an explanation is, what makes a good explanation and why seek them in the first place empiricism about explanation: Hempel’s deductive-nomological model and its problems unificationism about explanation: must good scientific explanations fit into an overall ‘explanatory store’? causation and explanation: Lewis’s description-based model, Woodward’s interventionist view and Strevens’s criterion of selection theory connections between explanation and understanding models, idealization and explanation non-causal explanation and explanation in non-scientific contexts the nature of understanding. Additional features, such as chapter summaries, suggestions for further reading and a glossary, make this an excellent resource for students of philosophy of science, metaphysics and epistemology.
Explanation in Action Theory and Historiography: Causal and Teleological Approaches (Routledge Studies in Contemporary Philosophy)
by Gunnar SchumannIs the appropriate form of human action explanation causal or rather teleological? While this is a central question in analytic philosophy of action, it also has implications for questions about the differences between methods of explanation in the sciences on the one hand and in the humanities and the social sciences on the other. Additionally, this question bears on the problem of the appropriate form of explanations of past human actions, and therefore it is prominently discussed by analytic philosophers of historiography. This volume brings together causalists and anti-causalists to address enduring philosophical questions at the heart of this debate, as well as their implications for the practice of historiography. Part I considers the quarrel between causalism and anti-causalism in recent developments in the philosophy of action. Part II presents papers by causalists and anti-causalists that are more narrowly focused on the philosophy of historiography.
Explanation in Biology (Elements in the Philosophy of Biology)
by Lauren N. RossThis Element examines philosophical accounts of scientific explanation, particularly those that apply to biology and the life sciences. Two main categories of scientific explanation are examined in detail –causal explanations and non-causal explanations. The first section of this Element provides a brief history and some basics on philosophical accounts of scientific explanation. Section 2 covers causal explanation, first by discussing foundational topics in the area, such as defining causation, causal selection, and reductive explanation. This is followed by an examination of distinct types of causal explanation, including those that appeal to mechanisms pathways, and cascades. The third section covers non-causal, mathematical explanations, which have received significant attention in philosophy of biology and the life sciences. Three main types of non-causal, mathematical explanation are discussed: topological and constraint-based explanation, optimality and efficiency explanations, and minimal model explanations. This title is also available as Open Access on Cambridge Core.
Explanation in the Special Sciences: The Case of Biology and History (Synthese Library #367)
by Andreas Hüttemann Marie I. Kaiser Oliver R. Scholz Daniel PlengeBiology and history are often viewed as closely related disciplines, with biology informed by history, especially in its task of charting our evolutionary past. Maximizing the opportunities for cross-fertilization in these two fields requires an accurate reckoning of their commonalities and differences—precisely what this volume sets out to achieve. Specially commissioned essays by a team of recognized international researchers cover the full panoply of topics in these fields and include notable contributions on the correlativity of evolutionary and historical explanations, applying to history the latest causal-mechanical approach in the philosophy of biology, and the question of generalized laws that might pertain across the two subjects. The collection opens with a vital interrogation of general issues on explanation that apart from potentially fruitful areas of interaction (could the etiology of the causal-mechanical perspective in biology account for the historical trajectory of the Roman Empire?) this volume also seeks to chart relative certainties distinguishing explanations in biology and history. It also assesses techniques such as the use of probabilities in biological reconstruction, deployed to overcome the inevitable gaps in physical evidence on early evolution. Methodologies such as causal graphs and semantic explanation receive in-depth analysis. Contributions from a host of prominent and widely read philosophers ensure that this new volume has the stature of a major addition to the literature.
Explanation, Laws, and Causation (China Perspectives)
by Wei WangScientific explanation, laws of nature, and causation are crucial and frontier issues in the philosophy of science. This book studies the complex relationship between the three concepts, aiming to achieve a holistic synthesis about explanation–laws–causation. By reviewing Hempel's scientific explanation models and Salmon's three conceptions – the epistemic, modal, and ontic conception – the book suggests that laws are essential to explanation and that our understanding of laws will help solve the problems of the latter. Concerning the nature of laws, this book tackles both the problems of regularity approach and necessitarian approach. It also proposes that the ontological order of explanation should be from events (or processes) to causation, then to regularity (laws), and finally to science system, but the epistemological order should be from science system to laws to explanation and causation. In addition, this book examines the legitimacy of ceteris paribus laws, the connection between explanation and reduction, the relation between explanation and interpretation, and some other issues closely related to explanation–laws–causation. This book will attract scholars and students of philosophy of science, natural sciences, social sciences, etc.
Explanatory Optimism about the Hard Problem of Consciousness
by Josh WeisbergExplanatory Optimism about the Hard Problem of Consciousness argues that despite the worries of explanatory pessimists, consciousness can be fully explained in “easy” scientific terms. The widespread intuition that consciousness poses a hard problem is plausibly based on how consciousness appears to us in first-person access. The book offers a debunking argument to undercut the justificatory link between the first-person appearances and our hard problem intuitions. The key step in the debunking argument involves the development and defense of an empirical model of first-person access: Automated Compression Theory (ACT). ACT holds that first-person access to consciousness is accomplished by automated accessing of compressed sensory information. Because of the distorting nature of this compressed access, it seems to subjects that consciousness possesses “exceptional” properties—properties leading to the hard problem—even though no such properties are present. If there are no exceptional properties to explain, then an explanation in easy terms can fully account for conscious experience. The book presents a range of empirical evidence for ACT and concludes that the burden of proof is now on the pessimists to show why we shouldn’t be optimistic about explaining consciousness.