Download or read book The Continuous the Discrete and the Infinitesimal in Philosophy and Mathematics written by John L. Bell and published by Springer Nature. This book was released on 2019-09-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, 'The age of continuity,’ discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel. Examining the nineteenth and early twentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptions of the continuum, with the work of nineteenth and early twentieth century philosophers and mathematicians, including Veronese, Poincaré, Brouwer, and Weyl. Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal.
Download or read book Official Gazette of the United States Patent and Trademark Office written by United States. Patent and Trademark Office and published by . This book was released on 2002 with total page 1530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book One and Many in Aristotle s Metaphysics written by Edward C. Halper and published by Parmenides Publishing. This book was released on 2009-01-28 with total page 635 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this first volume of One and Many, Halper argues that books Alpha to Delta should be read as a coherent treatment, within the larger whole of the Metaphysics, which addresses the problem of how there can be a single science of metaphysics. Halper shows that Aristotle poses and pursues the problem of the existence of metaphysics as a version of the problem of the one and the many, which he resolves by introducing doctrines of being and substance.
Download or read book The Continuous and the Infinitesimal in Mathematics and Philosophy written by John Lane Bell and published by Polimetrica s.a.s.. This book was released on 2005 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hegel s Science of Logic written by Richard Dien Winfield and published by Rowman & Littlefield Publishers. This book was released on 2012-10-27 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a truly comprehensive guide to one of the most important and challenging works of modern philosophy. The systematic complexity of Hegel's radical project in the Science of Logic prevents many from understanding and appreciating its value. By independently and critically working through Hegel's argument, this book offers an enlightening aid for study and anchors the Science of Logic at a central position in the philosophical canon.
Download or read book Topological in Hegel written by Borislav G. Dimitrov and published by Borislav Dimitrov. This book was released on 2018-01-23 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to critically examine whether it is methodologically possible to combine mathematical rigor – topology with a systematic dialectical methodology in Hegel, and if so, to provide as result of my interpretation the outline of Hegel’s Analysis Situs, also with the proposed models (build on the topological manifold, cobordism, topological data analysis, persistent homology, simplicial complexes and graph theory, to provide an indication of how the merger of Hegel’s dialectical logic and topology may be instrumental to a systematic logician and of how a systematic dialectical logic perspective may help mathematical model builders.
Download or read book Proceedings of the Twentieth Annual Conference of the Cognitive Science Society written by Morton Ann Gernsbacher and published by Psychology Press. This book was released on 1998 with total page 1308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of proceedings contains papers, posters, and summaries of symposia presented at the leading conference that brings cognitive scientists together to discuss issues of theoretical and applied concern. For researchers and educators in the field.
Download or read book From Metaphysical Representations to Aesthetic Life written by Massimiliano Lacertosa and published by State University of New York Press. This book was released on 2023-07-01 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is "Chinese philosophy?" What is "philosophy" itself? How can one understand unfamiliar philosophical stances? How can comparison become a prominent philosophical tool? In this book, Massimiliano Lacertosa examines these questions by proposing an ethical understanding of the aesthetic encounter with the other and the world. Through the analysis of the works of Laozi, Zhuangzi, Nietzsche, and Heidegger, among others, this book explores the possibilities of stepping out of the anthropocentric standpoint and seeing the relation of objects in the world under a different light. This implies a shift from the metaphysical representation of the world divided between the sensible and the supersensible to an aesthetic and undivided experience of the world in which one partakes in the constant transformation of the myriad things. Approachable yet rigorous, this book is essential reading for anyone interested in the most fundamental issues of philosophy and in the challenges of doing philosophy in a multicultural context.
Download or read book The Concept of Motion in Ancient Greek Thought written by Barbara M. Sattler and published by Cambridge University Press. This book was released on 2021-10-31 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines the birth of the scientific understanding of motion. It investigates which logical tools and methodological principles had to be in place to give a consistent account of motion, and which mathematical notions were introduced to gain control over conceptual problems of motion. It shows how the idea of motion raised two fundamental problems in the 5th and 4th century BCE: bringing together being and non-being, and bringing together time and space. The first problem leads to the exclusion of motion from the realm of rational investigation in Parmenides, the second to Zeno's paradoxes of motion. Methodological and logical developments reacting to these puzzles are shown to be present implicitly in the atomists, and explicitly in Plato who also employs mathematical structures to make motion intelligible. With Aristotle we finally see the first outline of the fundamental framework with which we conceptualise motion today.
Download or read book The Problem of Value Pluralism written by George Crowder and published by Routledge. This book was released on 2019-11-13 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Value pluralism is the idea, most prominently endorsed by Isaiah Berlin, that fundamental human values are universal, plural, conflicting, and incommensurable with one another. Incommensurability is the key component of pluralism, undermining familiar monist philosophies such as utilitarianism. But if values are incommensurable, how do we decide between them when they conflict? George Crowder assesses a range of responses to this problem proposed by Berlin and developed by his successors. Three broad approaches are especially important: universalism, contextualism, and conceptualism. Crowder argues that the conceptual approach is the most fruitful, yielding norms of value diversity, personal autonomy, and inclusive democracy. Historical context must also be taken into account. Together these approaches indicate a liberal politics of redistribution, multiculturalism, and constitutionalism, and a public policy in which basic values are carefully balanced. The Problem of Value Pluralism: Isaiah Berlin and Beyond is a uniquely comprehensive survey of the political theory of value pluralism and also an original contribution by a leading voice in the pluralist literature. Scholars and researchers interested in the work of Berlin, liberalism, value pluralism, and related ideas will find this a stimulating and valuable source.
Download or read book Leibniz s Final System written by Glenn A. Hartz and published by Routledge. This book was released on 2006-10-19 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: As the first major work on realism in Leibniz's metaphysics, this key text demonstrates that it is not possible to maintain compatibility of phenomenalist and realist views – they must be understood as completely separate trends of thought in Leibniz.
Download or read book Aristotle s Theory of Bodies written by Christian Pfeiffer and published by Oxford University Press. This book was released on 2018-07-12 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Christian Pfeiffer explores an important, but neglected topic in Aristotle's theoretical philosophy: the theory of bodies. A body is a three-dimensionally extended and continuous magnitude bounded by surfaces. This notion is distinct from the notion of a perceptible or physical substance. Substances have bodies, that is to say, they are extended, their parts are continuous with each other and they have boundaries, which demarcate them from their surroundings. Pfeiffer argues that body, thus understood, has a pivotal role in Aristotle's natural philosophy. A theory of body is a presupposed in, e.g., Aristotle's account of the infinite, place, or action and passion, because their being bodies explains why things have a location or how they can act upon each other. The notion of body can be ranked among the central concepts for natural science which are discussed in Physics III-IV. The book is the first comprehensive and rigorous account of the features substances have in virtue of being bodies. It provides an analysis of the concept of three-dimensional magnitude and related notions like boundary, extension, contact, continuity, often comparing it to modern conceptions of it. Both the structural features and the ontological status of body is discussed. This makes it significant for scholars working on contemporary metaphysics and mereology because the concept of a material object is intimately tied to its spatial or topological properties.
Download or read book The Fate of Place written by Edward Casey and published by Univ of California Press. This book was released on 2013-05-13 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this imaginative and comprehensive study, Edward Casey, one of the most incisive interpreters of the Continental philosophical tradition, offers a philosophical history of the evolving conceptualizations of place and space in Western thought. Not merely a presentation of the ideas of other philosophers, The Fate of Place is acutely sensitive to silences, absences, and missed opportunities in the complex history of philosophical approaches to space and place. A central theme is the increasing neglect of place in favor of space from the seventh century A.D. onward, amounting to the virtual exclusion of place by the end of the eighteenth century. Casey begins with mythological and religious creation stories and the theories of Plato and Aristotle and then explores the heritage of Neoplatonic, medieval, and Renaissance speculations about space. He presents an impressive history of the birth of modern spatial conceptions in the writings of Newton, Descartes, Leibniz, and Kant and delineates the evolution of twentieth-century phenomenological approaches in the work of Husserl, Merleau-Ponty, Bachelard, and Heidegger. In the book's final section, Casey explores the postmodern theories of Foucault, Derrida, Tschumi, Deleuze and Guattari, and Irigaray.
Download or read book Leibniz written by Catherine Wilson and published by Routledge. This book was released on 2017-07-12 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title was first published in 2001. A collection of previously published essays addressed to Leibniz’s metaphysics, philosophy of science, theories of language and logic, philosophy of mind and theology.
Download or read book A Critical Exposition of the Philosophy of Leibniz written by Bertrand Russell and published by Cosimo, Inc.. This book was released on 2008-12-01 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The writings of German mathematician and philosopher GOTTFRIED WILHELM LEIBNIZ (1646-1716) have had an incalculable impact on modern science and technology, from physics and computers to law and psychology. But not everyone is a fervent fan. At the turn of the 20th century, the great British thinker Bertrand Russell uncovered what he believed was the hypocritical secret to Leibniz's philosophy: a hidden devotion to a logic he did not reveal in his writings. Here, Russell explores Leibniz's work from this perspective, examining the premises of Leibniz's work, the questions raised by his arguments, the validity of Leibniz's proofs, problems with his "philosophy of matter," and much more. First published in 1900, this is a replica of the 1937 second edition, and is complete with the original, extensive appendix of relevant extracts from Leibniz's work, essential for understanding Russell's critique. British philosopher and mathematician BERTRAND ARTHUR WILLIAM RUSSELL (1872-1970) won the Nobel Prize for Literature in 1950. Among his many works are Why I Am Not a Christian (1927), Power: A New Social Analysis (1938), and My Philosophical Development (1959).
Download or read book The Shorter Leibniz Texts written by Gottfried Wilhelm Freiherr von Leibniz and published by A&C Black. This book was released on 2006-12-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This anthology of new Leibniz translations brings many Leibniz texts into the English-speaking academic domain for the first time, and provides new, concise texts that are fully representative of Leibniz's thought
Download or read book The Harvard Theological Review written by and published by . This book was released on 1909 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
