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Vector: A Surprising Story of Space, Time, and Mathematical Transformation
by Robyn ArianrhodA celebration of the seemingly simple idea that allowed us to imagine the world in new dimensions—sparking both controversy and discovery. The stars of this book, vectors and tensors, are unlikely celebrities. If you ever took a physics course, the word “vector” might remind you of the mathematics needed to determine forces on an amusement park ride, a turbine, or a projectile. You might also remember that a vector is a quantity that has magnitude and (this is the key) direction. In fact, vectors are examples of tensors, which can represent even more data. It sounds simple enough—and yet, as award-winning science writer Robyn Arianrhod shows in this riveting story, the idea of a single symbol expressing more than one thing at once was millennia in the making. And without that idea, we wouldn’t have such a deep understanding of our world. Vector and tensor calculus offers an elegant language for expressing the way things behave in space and time, and Arianrhod shows how this enabled physicists and mathematicians to think in a brand-new way. These include James Clerk Maxwell when he ushered in the wireless electromagnetic age; Einstein when he predicted the curving of space-time and the existence of gravitational waves; Paul Dirac, when he created quantum field theory; and Emmy Noether, when she connected mathematical symmetry and the conservation of energy. For it turned out that it’s not just physical quantities and dimensions that vectors and tensors can represent, but other dimensions and other kinds of information, too. This is why physicists and mathematicians can speak of four-dimensional space-time and other higher-dimensional “spaces,” and why you’re likely relying on vectors or tensors whenever you use digital applications such as search engines, GPS, or your mobile phone. In exploring the evolution of vectors and tensors—and introducing the fascinating people who gave them to us—Arianrhod takes readers on an extraordinary, five-thousand-year journey through the human imagination. She shows the genius required to reimagine the world—and how a clever mathematical construct can dramatically change discovery’s direction.
The Vattimo Dictionary (Philosophical Dictionaries)
by Simonetta MoroA guide to the philosophy of Gianni Vattimo and the controversies surrounding his thought Offers the first research tool of this kind for Vattimo’s philosophy Opens with an overall introduction to Vattimo’s oeuvre and its key developments Includes cross-references among so that readers can see how the systemic links operate in Vattimo’s thought Provides clear definitions for readers new to Vattimo’s work, while also offering sophisticated avenues for further specialist research. A-Z entries provide coverage of more than 100 of Vattimo’s most important concepts and themes, as well as entries for other thinkers he cites. Key criticisms of Vattimo’s work are included by prominent authors in the field, from Eduardo Mendieta, Franca D’Agostini, Santiago Zabala, Silvia Mazzini, Carmelo Dotolo, Federico Vercellone to Robert Valgenti.
The Vattimo Dictionary (Philosophical Dictionaries)
by Simonetta MoroA guide to the philosophy of Gianni Vattimo and the controversies surrounding his thought Offers the first research tool of this kind for Vattimo’s philosophy Opens with an overall introduction to Vattimo’s oeuvre and its key developments Includes cross-references among so that readers can see how the systemic links operate in Vattimo’s thought Provides clear definitions for readers new to Vattimo’s work, while also offering sophisticated avenues for further specialist research. A-Z entries provide coverage of more than 100 of Vattimo’s most important concepts and themes, as well as entries for other thinkers he cites. Key criticisms of Vattimo’s work are included by prominent authors in the field, from Eduardo Mendieta, Franca D’Agostini, Santiago Zabala, Silvia Mazzini, Carmelo Dotolo, Federico Vercellone to Robert Valgenti.
Vatsyayana's Commentary on the Nyaya-sutra: A Guide (OXFORD GUIDES TO PHILOSOPHY SERIES)
by Matthew R. DastiVatsyayana's Commentary on the Nyaya-sutra is one of classical India's most important philosophical works. This Guide offers both a map and interpretation of this challenging canonical text, suitable for any student or novice reader. Treating them as a single hybrid text, the Nyaya-sutra with Vatsyayana's commentary systematizes in skeletal form centuries of ancient Indian philosophical developments concerning logic, epistemology, and dialectics, while also defending a realist categorial metaphysics. It offers a number of epistemological and methodological insights that inform intellectual inquiry in the Subcontinent for over a millennium. Vatsyayana's Commentary also provides sophisticated arguments for distinct positions in metaphysics, epistemology, philosophy of language, and value theory that stand amongst the best contributions to world philosophy. This guide, accessible to students and researchers not familiar with classical Indian philosophy, provides a distilled, accessible understanding of the major scholarly, historical, and philosophical issues that inform the Commentary, while unpacking its philosophical content such that it speaks to modern readers. It also illustrates the way that the Commentary may serve as a lens through which to view the formative period of classical Indian philosophy.
Vatsyayana's Commentary on the Nyaya-sutra: A Guide (OXFORD GUIDES TO PHILOSOPHY SERIES)
by Matthew R. DastiVatsyayana's Commentary on the Nyaya-sutra is one of classical India's most important philosophical works. This Guide offers both a map and interpretation of this challenging canonical text, suitable for any student or novice reader. Treating them as a single hybrid text, the Nyaya-sutra with Vatsyayana's commentary systematizes in skeletal form centuries of ancient Indian philosophical developments concerning logic, epistemology, and dialectics, while also defending a realist categorial metaphysics. It offers a number of epistemological and methodological insights that inform intellectual inquiry in the Subcontinent for over a millennium. Vatsyayana's Commentary also provides sophisticated arguments for distinct positions in metaphysics, epistemology, philosophy of language, and value theory that stand amongst the best contributions to world philosophy. This guide, accessible to students and researchers not familiar with classical Indian philosophy, provides a distilled, accessible understanding of the major scholarly, historical, and philosophical issues that inform the Commentary, while unpacking its philosophical content such that it speaks to modern readers. It also illustrates the way that the Commentary may serve as a lens through which to view the formative period of classical Indian philosophy.
The Vatican, the Law and the Human Embryo
by Michael CoughlanAn exploration of the basis on which the Vatican presumes to proclaim universally binding prescriptions, paying particular attention to those concerning the value of human life. Against this background, the book assesses the demand that an embryo should be treated as a person.
The Vatican Observatory, Castel Gandolfo: 80th Anniversary Celebration (Astrophysics and Space Science Proceedings #51)
by Gabriele Gionti, S. J. Jean-Baptiste Kikwaya Eluo, S.J.This book presents contributions from an internal symposium organized to celebrate the 80th anniversary of the Specola Vaticana, or Vatican Observatory, in the Papal Palace of Castel Gandolfo. The aim is to provide an overview of the scientific and cultural work being undertaken at the Observatory today and to describe the outcomes of important recent investigations. The contents cover interesting topics in a variety of areas, including planetary science and instrumentation, stellar evolution and stars, galaxies, cosmology, quantum gravity, the history of astronomy, and interactions between science, philosophy, and theology. On September 29, 1935, Pope Pius XI officially inaugurated the new headquarters of the Specola Vaticana at Castel Gandolfo. With new telescopes, a new astrophysical laboratory for spectrochemical analysis, and a young staff comprising Jesuit scientists, this inauguration marked the beginning of an intense period of scientific achievements at the Observatory. This anniversary book, featuring contributions from members of the current Observatory staff and adjunct scholars, will appeal to all with an interest in the history of the Specola Vaticana and its significance for astronomy.
Vatican II and Phenomenology: Reflections on the Life-World of the Church (Studies in Philosophy and Religion #8)
by J.F. KoblerThe thesis of this essay may be stated quite briefly: Vatican II is a demonstration model of the phenomenological method employed on an international scale. It exemplifies the final developmental stage, postulated by Husserl, of an inter subjective phenomenology which would take its point of departure, not from individual subjectivity, but from transcendental intersubjectivity. Vatican II, accordingly, offers a unique application of a universal transcendental philosophy in the field of religious reflection for the practical purposes of moral and socio cultural renewal. Phenomenology, as a distinctively European development, is relatively un known in America - at least in its pure form. Our contact with this style of 1 intuitive reflection is usually filtered through psychology or sociology. How ever, Edmund Husserl, The Father of Phenomenology, was originally trained in mathematics, and he entered the field of philosophy because he recognized 2 that the theoretical foundations of modern science were disintegrating. He foresaw that, unless this situation were rectified, modern men would eventually slip into an attitude of absolute scepticism, relativism, and pragmatism. After the First World War he saw this theoretical problem mirrored more and more in the social turbulence of Europe, and his thoughts turned to the need for a 3 renewal at all levels of life. In 1937 when Nazism was triumphant in Germany, and Europe on the brink of World War II, he wrote his last major work, The 4 Crisis of European Sciences and Transcendental Philosophy.
Vasilii Rozanov and the Creation: The Edenic Vision and the Rejection of Eschatology
by Adam UreThis book provides the first detailed study in English of the religious philosophy of Vasilii Rozanov, one of the most influential and controversial thinkers of Russia's Silver Age. It examines his subversion of traditional Russian Orthodoxy, including his reverence for the Creation, his focus on the family, and his worship of sex.Rozanov is one of the towering figures of Russian culture, a major influence on thinkers and writers such as Bakhtin, Maiakovskii, and Mandel´shtam, as well as many European writers. He critiqued Orthodox theology, and wrote extensively on philosophy, literature, and politics, and helped reform marriage and divorce laws.His enormous contribution to Russian thought has been largely neglected, and much of his work has been misunderstood. Ure addresses this by examining the basis of Rozanov's religious philosophy, the Creation of the Earth and the Book of Genesis.
Varying Gravity: Dirac’s Legacy in Cosmology and Geophysics (Science Networks. Historical Studies #54)
by Helge KraghThe main focus of this book is on the interconnection of two unorthodox scientific ideas, the varying-gravity hypothesis and the expanding-earth hypothesis. As such, it provides a fascinating insight into a nearly forgotten chapter in both the history of cosmology and the history of the earth sciences.The hypothesis that the force of gravity decreases over cosmic time was first proposed by Paul Dirac in 1937. In this book the author examines in detail the historical development of Dirac’s hypothesis and its consequences for the structure and history of the earth, the most important of which was that the earth must have been smaller in the past.
The Varnished Truth: Truth Telling and Deceiving in Ordinary Life (National Society For The Study Of Education Publication Ser.)
by David NybergEveryone says that lying is wrong. But when we say that lying is bad and hurtful and that we would never intentionally tell a lie, are we really deceiving anyone? In this wise and insightful book, David Nyberg exposes the tacit truth underneath our collective pretense and reveals that an occasional lie can be helpful, healthy, creative, and, in some situations, even downright moral. The Varnished Truth takes us beyond philosophical speculation and clinical analysis to give us a sense of what it really means to tell the truth. As Nyberg lays out the complexities involved in leading a morally decent life, he compels us to see the spectrum of alternatives to telling the truth and telling a clear-cut lie.
The Variety of Values: Essays on Morality, Meaning, and Love
by Susan WolfFor over thirty years Susan Wolf has been writing about moral and nonmoral values and the relation between them. This volume collects Wolf's most important essays on the topics of morality, love, and meaning, ranging from her classic essay "Moral Saints" to her most recent "The Importance of Love." Wolf's essays warn us against the common tendency to classify values in terms of a dichotomy that contrasts the personal, self-interested, or egoistic with the impersonal, altruistic or moral. On Wolf's view, this tendency ignores or distorts the significance of such values as love, beauty, and truth, and neglects the importance of meaningfulness as a dimension of the good life. These essays show us how a self-conscious recognition of the variety of values leads to new understandings of the point, the content, and the limits of morality and to new ways of thinking about happiness and well-being.
A Variety of Causes
by Paul NoordhofThis is the first book length defence of a counterfactual theory of causation. The analysis defended is new. It expresses the idea that, independent of its competitors, a cause raises the chance of an effect over its mean background chance by a complete causal chain. The analysis depends upon a novel development of David Lewis's Theory of Counterfactuals. One consequence of the analysis is that causation is not transitive. Causation is also nonsymmetric. The counterfactual basis of causal nonsymmetry is the result of a number of different, and sometimes interacting, nonsymmetries. The analysis allows for the development of a novel theory of events whose nature is independent of their role in causation and the identification of one other important causal relationship: property causation. Although compatible with Hume's denial of necessary connections between distinct existences, a key feature of the theory is that it benefits from being independent of the Humean framework. There are two ways in which something may be metaphysically fundamental: vertically and horizontally. Many metaphysicians emphasise vertical fundamentality and focus on truth making. The book rejects this emphasis and the truth making approach in particular. Horizontally fundamental metaphysical entities are those that are necessary components in different possible universes. Causation has a claim to be horizontally fundamental: the cement of any universe. Laws are patterns of causation realised in different metaphysical frameworks such as those articulated by Lewis, Armstrong and the powers ontologists. The book recognises varieties of causation both in, for example, counting cases of double prevention and causation by genuine processes as types of causation, and allowing that the analysis identifies causes across these different metaphysical frameworks.
A Variety of Causes
by Paul NoordhofThis is the first book length defence of a counterfactual theory of causation. The analysis defended is new. It expresses the idea that, independent of its competitors, a cause raises the chance of an effect over its mean background chance by a complete causal chain. The analysis depends upon a novel development of David Lewis's Theory of Counterfactuals. One consequence of the analysis is that causation is not transitive. Causation is also nonsymmetric. The counterfactual basis of causal nonsymmetry is the result of a number of different, and sometimes interacting, nonsymmetries. The analysis allows for the development of a novel theory of events whose nature is independent of their role in causation and the identification of one other important causal relationship: property causation. Although compatible with Hume's denial of necessary connections between distinct existences, a key feature of the theory is that it benefits from being independent of the Humean framework. There are two ways in which something may be metaphysically fundamental: vertically and horizontally. Many metaphysicians emphasise vertical fundamentality and focus on truth making. The book rejects this emphasis and the truth making approach in particular. Horizontally fundamental metaphysical entities are those that are necessary components in different possible universes. Causation has a claim to be horizontally fundamental: the cement of any universe. Laws are patterns of causation realised in different metaphysical frameworks such as those articulated by Lewis, Armstrong and the powers ontologists. The book recognises varieties of causation both in, for example, counting cases of double prevention and causation by genuine processes as types of causation, and allowing that the analysis identifies causes across these different metaphysical frameworks.
Varieties of Voluntarism in Medieval and Early Modern Philosophy
by Sonja Schierbaum Jörn MüllerThis book considers different forms of voluntarism developed from the thirteenth to eighteenth centuries. By crossing the conventional dividing line between the medieval and early modern periods, the volume draws important new insights on the historical development of voluntarism. Voluntarism places a special emphasis on the will when it comes to the analysis and explanation of fundamental philosophical questions and problems. Since the Middle Ages, voluntarist considerations and views played an important role in the development of different theories of action, ethics, metaethics, and metaphysics. The chapters in this volume are grouped according to three distinct kinds of voluntarism: psychological, ethical, and theological voluntarism. They address topics such as the threat of irrationality as the standard objection to voluntarism, incontinent actions and their explanation, the nature of the will as rational appetite, the relationship between intellect and will, the implications of conceptions of the will for political freedom, and the relations between divine freedom and the modal status of eternal truths. The chapters not only consider towering figures of the Middle Ages—Thomas Aquinas, Henry of Ghent, William of Ockham, Francisco de Vitoria—and early modern period—René Descartes, Thomas Hobbes, Gottfried Wilhelm Leibniz, Samuel Pufendorf—but also engage with less well-known figures such as Peter John Olivi, John of Pouilly, Catharine Trotter Cockburn, and Christian August Crusius. Varieties of Voluntarism in Medieval and Early Modern Philosophy will appeal to scholars and advanced students working in medieval philosophy, early modern philosophy, the history of ethics, and philosophy of religion.
Varieties of Voluntarism in Medieval and Early Modern Philosophy
This book considers different forms of voluntarism developed from the thirteenth to eighteenth centuries. By crossing the conventional dividing line between the medieval and early modern periods, the volume draws important new insights on the historical development of voluntarism. Voluntarism places a special emphasis on the will when it comes to the analysis and explanation of fundamental philosophical questions and problems. Since the Middle Ages, voluntarist considerations and views played an important role in the development of different theories of action, ethics, metaethics, and metaphysics. The chapters in this volume are grouped according to three distinct kinds of voluntarism: psychological, ethical, and theological voluntarism. They address topics such as the threat of irrationality as the standard objection to voluntarism, incontinent actions and their explanation, the nature of the will as rational appetite, the relationship between intellect and will, the implications of conceptions of the will for political freedom, and the relations between divine freedom and the modal status of eternal truths. The chapters not only consider towering figures of the Middle Ages—Thomas Aquinas, Henry of Ghent, William of Ockham, Francisco de Vitoria—and early modern period—René Descartes, Thomas Hobbes, Gottfried Wilhelm Leibniz, Samuel Pufendorf—but also engage with less well-known figures such as Peter John Olivi, John of Pouilly, Catharine Trotter Cockburn, and Christian August Crusius. Varieties of Voluntarism in Medieval and Early Modern Philosophy will appeal to scholars and advanced students working in medieval philosophy, early modern philosophy, the history of ethics, and philosophy of religion.
Varieties of Virtue Ethics
by David Carr Kristján Kristjánsson James ArthurThis book explores recent developments in ethics of virtue. While acknowledging the Aristotelian roots of modern virtue ethics – with its emphasis on the moral importance of character – this collection recognizes that more recent accounts of virtue have been shaped by many other influences, such as Aquinas, Hume, Nietzsche, Hegel and Marx, Confucius and Lao-tzu. The authors also examine the bearing of virtue ethics on other disciplines such as psychology, sociology and theology, as well as attending to some wider public, professional and educational implications of the ethics of virtue. This pioneering book will be invaluable to researchers and students concerned with the many contemporary varieties and applications of virtue ethics.
Varieties of Understanding: New Perspectives from Philosophy, Psychology, and Theology
by Stephen R. GrimmWhat does it mean to understand something? What is the essence of understanding, when compared across multiple domains? Varieties of Understanding offers new and original work on the nature of understanding, raising questions about what understanding looks like from different perspectives and exploring how ordinary people use the notion of understanding. According to a long historical tradition, understanding comes in different varieties. In particular, it is said that understanding people has a different epistemic profile than understanding the natural world-that it calls on different cognitive resources and brings to bear distinctive normative considerations. Thus, in order to understand people we might need to appreciate, or in some way sympathetically reconstruct, the reasons that led a person to act in a certain way. By comparison, when it comes to understanding natural events, like earthquakes or eclipses, no appreciation of reasons or acts of sympathetic reconstruction is arguably needed-mainly because there are no reasons on the scene to even be appreciated, and no perspectives to be sympathetically pieced together. This volume brings together some of the world's leading philosophers, psychologists, and theologians in order to shed light on the various ways in which we understand the world, pushing debates on this issue to new levels of sophistication and insight.
Varieties of Understanding: New Perspectives from Philosophy, Psychology, and Theology
What does it mean to understand something? What is the essence of understanding, when compared across multiple domains? Varieties of Understanding offers new and original work on the nature of understanding, raising questions about what understanding looks like from different perspectives and exploring how ordinary people use the notion of understanding. According to a long historical tradition, understanding comes in different varieties. In particular, it is said that understanding people has a different epistemic profile than understanding the natural world-that it calls on different cognitive resources and brings to bear distinctive normative considerations. Thus, in order to understand people we might need to appreciate, or in some way sympathetically reconstruct, the reasons that led a person to act in a certain way. By comparison, when it comes to understanding natural events, like earthquakes or eclipses, no appreciation of reasons or acts of sympathetic reconstruction is arguably needed-mainly because there are no reasons on the scene to even be appreciated, and no perspectives to be sympathetically pieced together. This volume brings together some of the world's leading philosophers, psychologists, and theologians in order to shed light on the various ways in which we understand the world, pushing debates on this issue to new levels of sophistication and insight.
Varieties of Tone: Frege, Dummett and the Shades of Meaning
by R. KortumIn clear and lively prose that avoids jargon, the author carefully and systematically examines the many kinds of subtly nuanced words or word-pairs of everyday discourse such as 'and'-'but', 'before'-'ere', 'Chinese'-'Chink', and 'sweat'-'perspiration', that have proven resistant to truth-conditional explanations of meaning.
Varieties of Things: Foundations of Contemporary Metaphysics
by Cynthia MacDonaldVarieties of Things: Foundations of Contemporary Metaphysics is about some of the most fundamental kinds of things that there are; the things that we encounter in everyday experience. A book about the things that we encounter in everyday experience. Contains a thorough and accessible discussion of the nature and aims of metaphysics. Examines a wide range of ontological categories, including both particulars and universals. Mounts a forceful and persuasive case for anti-reductionism.
The Varieties of Self-Knowledge (Palgrave Innovations in Philosophy)
by Annalisa ColivaThis book explores the idea that self-knowledge comes in many varieties. We “know ourselves” through many different methods, depending on whether we attend to our propositional attitudes, our perceptions, sensations or emotions. Furthermore, sometimes what we call “self-knowledge” is not the result of any substantial cognitive achievement and the characteristic authority we grant to our psychological self-ascription is a conceptual necessity, redeemed by unravelling the structure of several interlocking concepts. This book critically assesses the main contemporary positions held on the epistemology of self-knowledge. These include robust epistemic accounts such as inner sense views and theory-theories; weak epistemic accounts such as transparency theories and rational internalism and externalism; as well as expressivist and constitutivist approaches. The author offers an innovative “pluralist” position on self-knowledge, emphasizing the complexity of the phenomenon and its resistance to any “monistic” treatment, to pose new and intriguing philosophical challenges.
Varieties of Self-Awareness: New Perspectives from Phenomenology, Hermeneutics, and Comparative Philosophy (Contributions to Phenomenology #121)
by Saulius GeniusasThis collection of chapters, written by prominent scholars in their respective fields, re-examines the nature of self-awareness in both Western and Eastern philosophy, inquires into its diverse and variable modes, and significantly broadens the framework of its analysis. The chapters collected focus on reflective and pre-reflective forms of self-awareness, as well as the relation between self-awareness and the awareness of things and the world. Included are examinations of the affective and embodied dimensions of self-awareness, the distinct forms of self-awareness in memory, phantasy, and dreams, as well as the temporal and spatial nature of self-awareness. This edited volume appeals to students and researchers working in phenomenology and on the philosophy of self-awareness.
Varieties of Scientific Realism: Objectivity and Truth in Science
by Evandro AgazziThis book offers a comprehensive update on the scientific realism debate, enabling readers to gain a novel appreciation of the role of objectivity and truth in science and to understand fully the various ways in which antirealist conceptions have been subjected to challenge over recent decades. Authoritative representatives of different philosophical traditions explain their perspectives on the meaning and validity of scientific realism and describe the strategies being adopted to counter persisting antirealist positions. The coverage extends beyond the usual discussion of realism within the context of the natural sciences, and especially physics, to encompass also its applicability in mathematics, logic, and the human sciences. The book will appeal to all with an interest in the recent realist epistemologies of science, the nature of current philosophical debate, and the ongoing rehabilitation of truth as the legitimate goal of scientific research.
The Varieties of Religious Experience: A Study In Human Nature
by William James'Is life worth living? Yes, a thousand times yes when the world still holds such spirits as Professor James.' - Gertrude Stein A classic of American thought, William James’ The Varieties of Religious Experience is an extraordinary study of human spirituality in all its forms and one of the most profound works of Psychology ever written. When the book was published in 1902 the study of the human mind was a thrillingly new field of scientific enquiry: James was one of the first to seriously examine the psychology of religious faith and where he led, both Jung and Freud would follow. Yet for all its historical significance, this is a book full of humanity, wit and some deeply personal stories of revelation, religious devotion and mystical experience. The Routledge Classics edition of The Varieties of Religious Experience makes available in paperback for the first time the Centenary Edition published by Routledge in 2002 with new introductions on the historical and contemporary significance of James’ work and a foreword by the author’s grandson, Micky James.