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From Arithmetic To Metaphysics
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Book Synopsis From Arithmetic to Metaphysics by : Ciro de Florio
Download or read book From Arithmetic to Metaphysics written by Ciro de Florio and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-01-09 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in honor of Sergio Galvan, this collection concentrates on the application of logical and mathematical methods for the study of central issues in formal philosophy. The volume is subdivided into four sections, dedicated to logic and philosophy of logic, philosophy of mathematics, philosophy of science, metaphysics and philosophy of religion. The contributions adress, from a logical point of view, some of the main topics in these areas. The first two sections include formal treatments of: truth and paradoxes; definitions by abstraction; the status of abstract objects, such as mathematical objects and universal concepts; and the structure of explicit knowledge. The last two sections include papers on classical problems in philosophy of science, such as the status of subjective probability, the notion of verisimilitude, the notion of approximation, and the theory of mind and mental causation, and specific issues in metaphysics and philosophy of religion, such as the ontology of species, actions, and intelligible worlds, and the logic of religious belonging.
Book Synopsis The Metaphysics and Mathematics of Arbitrary Objects by : Leon Horsten
Download or read book The Metaphysics and Mathematics of Arbitrary Objects written by Leon Horsten and published by Cambridge University Press. This book was released on 2019-06-13 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops and defends a new metaphysical and logical theory of arbitrary objects that will reinvigorate the philosophy of mathematics.
Book Synopsis From Arithmetic to Metaphysics by : Ciro de Florio
Download or read book From Arithmetic to Metaphysics written by Ciro de Florio and published by . This book was released on 2018 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: The series provides a forum for innovative, high-quality work in all fields of analytical philosophy. The volumes in this series are published in either English or German.
Book Synopsis Mathematics and Metaphysics in Aristotle by : Andreas Graeser
Download or read book Mathematics and Metaphysics in Aristotle written by Andreas Graeser and published by . This book was released on 1987 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Procedures and Metaphysics by : Edward William Strong
Download or read book Procedures and Metaphysics written by Edward William Strong and published by . This book was released on 1966 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Theology of Arithmetic by : Iamblichus
Download or read book The Theology of Arithmetic written by Iamblichus and published by Red Wheel/Weiser. This book was released on 1988-01-01 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Attributed to Iamblichus (4th cent. AD), The Theology of Arithmetic is about the mystical, mathmatical and cosmological symbolism of the first ten numbers. Its is the longest work on number symbolism to survive from the ancient world, and Robin Waterfield's careful translation contains helpful footnotes, an extensive glossary, bibliography, and foreword by Keith Critchlow. Never before translated from ancient Greek, this important sourcework is indispensable for anyone intereted in Pythagorean though, Neoplatonism, or the symbolism of Numbers.
Book Synopsis Ptolemy's Philosophy by : Jacqueline Feke
Download or read book Ptolemy's Philosophy written by Jacqueline Feke and published by Princeton University Press. This book was released on 2020-10-13 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: A stimulating intellectual history of Ptolemy's philosophy and his conception of a world in which mathematics reigns supreme The Greco-Roman mathematician Claudius Ptolemy is one of the most significant figures in the history of science. He is remembered today for his astronomy, but his philosophy is almost entirely lost to history. This groundbreaking book is the first to reconstruct Ptolemy’s general philosophical system—including his metaphysics, epistemology, and ethics—and to explore its relationship to astronomy, harmonics, element theory, astrology, cosmology, psychology, and theology. In this stimulating intellectual history, Jacqueline Feke uncovers references to a complex and sophisticated philosophical agenda scattered among Ptolemy’s technical studies in the physical and mathematical sciences. She shows how he developed a philosophy that was radical and even subversive, appropriating ideas and turning them against the very philosophers from whom he drew influence. Feke reveals how Ptolemy’s unique system is at once a critique of prevailing philosophical trends and a conception of the world in which mathematics reigns supreme. A compelling work of scholarship, Ptolemy’s Philosophy demonstrates how Ptolemy situated mathematics at the very foundation of all philosophy—theoretical and practical—and advanced the mathematical way of life as the true path to human perfection.
Book Synopsis Arithmetic and Ontology by : Philip Hugly
Download or read book Arithmetic and Ontology written by Philip Hugly and published by BRILL. This book was released on 2016-08-09 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume documents a lively exchange between five philosophers of mathematics. It also introduces a new voice in one central debate in the philosophy of mathematics. Non-realism, i.e., the view supported by Hugly and Sayward in their monograph, is an original position distinct from the widely known realism and anti-realism. Non-realism is characterized by the rejection of a central assumption shared by many realists and anti-realists, i.e., the assumption that mathematical statements purport to refer to objects. The defense of their main argument for the thesis that arithmetic lacks ontology brings the authors to discuss also the controversial contrast between pure and empirical arithmetical discourse. Colin Cheyne, Sanford Shieh, and Jean Paul Van Bendegem, each coming from a different perspective, test the genuine originality of non-realism and raise objections to it. Novel interpretations of well-known arguments, e.g., the indispensability argument, and historical views, e.g. Frege, are interwoven with the development of the authors’ account. The discussion of the often neglected views of Wittgenstein and Prior provide an interesting and much needed contribution to the current debate in the philosophy of mathematics.
Book Synopsis Physics and Metaphysics of Music and Essays on the Philosophy of Mathematics by : Lazare Saminsky
Download or read book Physics and Metaphysics of Music and Essays on the Philosophy of Mathematics written by Lazare Saminsky and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Metaphysical Myths, Mathematical Practice by : Jody Azzouni
Download or read book Metaphysical Myths, Mathematical Practice written by Jody Azzouni and published by Cambridge University Press. This book was released on 1994-02-25 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This original and exciting study offers a completely new perspective on the philosophy of mathematics. Most philosophers of mathematics try to show either that the sort of knowledge mathematicians have is similar to the sort of knowledge specialists in the empirical sciences have or that the kind of knowledge mathematicians have, although apparently about objects such as numbers, sets, and so on, isn't really about those sorts of things at all. Jody Azzouni argues that mathematical knowledge is a special kind of knowledge that must be gathered in its own unique way. He analyzes the linguistic pitfalls and misperceptions philosophers in this field are often prone to, and explores the misapplications of epistemic principles from the empirical sciences to the exact sciences. What emerges is a picture of mathematics sensitive both to mathematical practice and to the ontological and epistemological issues that concern philosophers. The book will be of special interest to philosophers of science, mathematics, logic, and language. It should also interest mathematicians themselves.
Book Synopsis The Philosophy of Arithmetic by : Sir John Leslie
Download or read book The Philosophy of Arithmetic written by Sir John Leslie and published by . This book was released on 1817 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Pythagoras Revived by : Dominic J. O'Meara
Download or read book Pythagoras Revived written by Dominic J. O'Meara and published by Oxford University Press. This book was released on 1989 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Pythagorean idea that number is the key to understanding reality inspired Neoplatonist philosophers in the fourth and fifth centuries to develop theories in physics and metaphysics based on mathematical models. The theories produced by this revived interest in Pythagoreanism were to becomeinfluential in medieval and early modern philosophy, and this book makes use of some newly-discovered evidence to examine for the first time the development of those theories.
Book Synopsis The Metaphysics of Logic by : Penelope Rush
Download or read book The Metaphysics of Logic written by Penelope Rush and published by Cambridge University Press. This book was released on 2014-10-16 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: This wide-ranging collection of essays explores the nature of logic and the key issues and debates in the metaphysics of logic.
Book Synopsis The Digital Cast of Being by : Michael Eldred
Download or read book The Digital Cast of Being written by Michael Eldred and published by Walter de Gruyter. This book was released on 2013-05-02 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: We live today surrounded by countless digital gadgets and navigate through cyberspace as if it were the most natural thing in the world. This digital cast of being, however, comes from a long history of philosophical and mathematical thinking in which the Western will to productive power over movement has attained its consummation. This study traces the digital dissolution of beings from the Pythagoreans, Plato and Aristotle's ontology via Cartesian mathematical science through to our digitized economy and telecommunications. With an appendix reinterpreting quantum mechanical indeterminacy phenomenologically.
Book Synopsis Thinking about Mathematics by : Stewart Shapiro
Download or read book Thinking about Mathematics written by Stewart Shapiro and published by OUP Oxford. This book was released on 2000-07-13 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking about Mathematics covers the range of philosophical issues and positions concerning mathematics. The text describes the questions about mathematics that motivated philosophers throughout history and covers historical figures such as Plato, Aristotle, Kant, and Mill. It also presents the major positions and arguments concerning mathematics throughout the twentieth century, bringing the reader up to the present positions and battle lines.
Book Synopsis Introduction to Mathematical Philosophy by : Bertrand Russell
Download or read book Introduction to Mathematical Philosophy written by Bertrand Russell and published by . This book was released on 1920 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis History and Philosophy of Modern Mathematics by : William Aspray
Download or read book History and Philosophy of Modern Mathematics written by William Aspray and published by U of Minnesota Press. This book was released on 1988 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: History and Philosophy of Modern Mathematics was first published in 1988. Minnesota Archive Editions uses digital technology to make long-unavailable books once again accessible, and are published unaltered from the original University of Minnesota Press editions. The fourteen essays in this volume build on the pioneering effort of Garrett Birkhoff, professor of mathematics at Harvard University, who in 1974 organized a conference of mathematicians and historians of modern mathematics to examine how the two disciplines approach the history of mathematics. In History and Philosophy of Modern Mathematics, William Aspray and Philip Kitcher bring together distinguished scholars from mathematics, history, and philosophy to assess the current state of the field. Their essays, which grow out of a 1985 conference at the University of Minnesota, develop the basic premise that mathematical thought needs to be studied from an interdisciplinary perspective. The opening essays study issues arising within logic and the foundations of mathematics, a traditional area of interest to historians and philosophers. The second section examines issues in the history of mathematics within the framework of established historical periods and questions. Next come case studies that illustrate the power of an interdisciplinary approach to the study of mathematics. The collection closes with a look at mathematics from a sociohistorical perspective, including the way institutions affect what constitutes mathematical knowledge.
