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Nominalistic Systems
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Book Synopsis Nominalistic Systems by : Rolf A. Eberle
Download or read book Nominalistic Systems written by Rolf A. Eberle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. 1. PROGRAM It will be our aim to reconstruct, with precision, certain views which have been traditionally associated with nominalism and to investigate problems arising from these views in the construction of interpreted formal systems. Several such systems are developed in accordance with the demand that the sentences of a system which is acceptable to a nominalist must not imply the existence of any entities other than individuals. Emphasis will be placed on the constructionist method of philosophical analysis. To follow this method is to introduce the central notions of the subject-matter to be investigated into a system governed by exact rules. For example, the constructionist method of investigating the properties of geometric figures may consist in formulating a system of postulates and definitions which, together with the apparatus of formal logic, generates all necessary truths concerning geometric figures. Similarly, a constructionist analysis of the notion of an individual may take the form of an axiomatic theory whose provable assertions are just those which seem essential to the role played by the concept of an individual in system atic contexts. Such axiomatic theories gain in interest if they are supple mented by precise semantical rules specifying the denotation of all terms and the truth conditions of all sentences of the theory.
Book Synopsis Peirce and the Threat of Nominalism by : Paul Forster
Download or read book Peirce and the Threat of Nominalism written by Paul Forster and published by Cambridge University Press. This book was released on 2011-03-17 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Peirce, the founder of pragmatism, was a thinker of extraordinary depth and range - he wrote on philosophy, mathematics, psychology, physics, logic, phenomenology, semiotics, religion and ethics - but his writings are difficult and fragmentary. This book provides a clear and comprehensive explanation of Peirce's thought. His philosophy is presented as a systematic response to 'nominalism', the philosophy which he most despised and which he regarded as the underpinning of the dominant philosophical worldview of his time. The book explains Peirce's challenge to nominalism as a theory of meaning and shows its implications for his views of knowledge, truth, the nature of reality, and ethics. It will be essential reading both for Peirce scholars and for those new to his work.
Book Synopsis Deflating Existential Consequence by : Jody Azzouni
Download or read book Deflating Existential Consequence written by Jody Azzouni and published by Oxford University Press, USA. This book was released on 2004 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: If we take mathematical statements to be true, must we also believe in the existence of abstract invisible mathematical objects? This text claims that the way to escape such a commitment is to accept true statements which are about objects that don't exist in any sense at all.
Book Synopsis The Structure of Appearance by : Nelson Goodman
Download or read book The Structure of Appearance written by Nelson Goodman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: With this third edition of Nelson Goodman's The Structure of Appear ance, we are pleased to make available once more one of the most in fluential and important works in the philosophy of our times. Professor Geoffrey Hellman's introduction gives a sustained analysis and appreciation of the major themes and the thrust of the book, as well as an account of the ways in which many of Goodman's problems and projects have been picked up and developed by others. Hellman also suggests how The Structure of Appearance introduces issues which Goodman later continues in his essays and in the Languages of Art. There remains the task of understanding Good man's project as a whole; to see the deep continuities of his thought, as it ranges from logic to epistemology, to science and art; to see it therefore as a complex yet coherent theory of human cognition and practice. What we can only hope to suggest, in this note, is the b. road Significance of Goodman's apparently technical work for philosophers, scientists and humanists. One may say of Nelson Goodman that his bite is worse than his bark. Behind what appears as a cool and methodical analysis of the conditions of the construction of systems, there lurks a radical and disturbing thesis: that the world is, in itself, no more one way than another, nor are we. It depends on the ways in which we take it, and on what we do.
Download or read book N - Z written by Thomas A. Sebeok and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-05-18 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "N - Z".
Book Synopsis Nominalism and Contemporary Nominalism by : Maria Gosselin
Download or read book Nominalism and Contemporary Nominalism written by Maria Gosselin and published by Springer Science & Business Media. This book was released on 1990-10-31 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Though the subject of this work, "nominalism and contemporary nom inalism", is philosophical, it cannot be fully treated without relating it to data gathered from a great variety of domains, such as biology and more especially ethology, psychology, linguistics and neurobiology. The source of inspiration has been an academic work I wrote in order to obtain a postdoctoral degree, which is called in Belgium an "Aggregaat voor het Hoger Onderwijs" comparable to a "Habilitation" in Germany. I want to thank the National Fund of Scientific Research, which accorded me several grants and thereby enabled me to write the academic work in the first place and thereafter this book. I also want to thank Prof. SJ. Doorman (Technical University of Delft) and Prof. G. Nuchelmans (University of Leiden), who were members of the jury of the "Aggre gaatsthesis", presented to the Free University of Brussels in 1981 and who by their criticisms and suggestions encouraged me to write the present book, the core of which is constituted by the general ideas then formulated. I am further obliged to Mr. X, the referee who was asked by Jaakko Hintikka to read my work and who made a series of constructive remarks and recom mendations. My colleague Marc De Mey (University of Ghent) helped me greatly with the more formal aspects of my work and spent too much of his valuable time and energy to enable me to deliver a presentable copy. All remaining shortcomings are entirely my responsibility. I asked Prof.
Book Synopsis Nominalism about Properties by : Ghislain Guigon
Download or read book Nominalism about Properties written by Ghislain Guigon and published by Routledge. This book was released on 2015-02-11 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nominalism, which has its origins in the Middle Ages and continues into the Twenty-First Century, is the doctrine that there are no universals. This book is unique in bringing together essays on the history of nominalism and essays that present a systematic discussion of nominalism. It introduces the reader to the distinction between particulars and universals, to the difficulties posed by this distinction, and to the main motivations for the rejection of universals. It also describes the main varieties of nominalism about properties and provides tools to understand how they developed in the history of Western Philosophy. All essays are new and are written by experts on the topic, and they advance the discussion about nominalism to a new level.
Book Synopsis Resemblance Nominalism by : Gonzalo Rodriguez-Pereyra
Download or read book Resemblance Nominalism written by Gonzalo Rodriguez-Pereyra and published by Oxford University Press. This book was released on 2002-07-04 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gardeners, poets, lovers, and philosophers are all interested in the redness of roses; but only philosophers wonder how it is that two different roses can share the same property. Are red things red because they resemble each other? Or do they resemble each other because they are red? Since the 1970s philosophers have tended to favour the latter view, and held that a satisfactory account of properties must involve the postulation of either universals or tropes. But Gonzalo Rodriguez-Pereyra revives the dormant alternative theory of resemblance nominalism, showing first that it can withstand the attacks of such eminent opponents as Goodman and Armstrong, and then that there are reasons to prefer it to its rival theories. The clarity and rigour of his arguments will challenge metaphysicians to rethink their views on properties.
Book Synopsis Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy by : David Sepkoski
Download or read book Nominalism and Constructivism in Seventeenth-Century Mathematical Philosophy written by David Sepkoski and published by Routledge. This book was released on 2013-05-24 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: What was the basis for the adoption of mathematics as the primary mode of discourse for describing natural events by a large segment of the philosophical community in the seventeenth century? In answering this question, this book demonstrates that a significant group of philosophers shared the belief that there is no necessary correspondence between external reality and objects of human understanding, which they held to include the objects of mathematical and linguistic discourse. The result is a scholarly reliable, but accessible, account of the role of mathematics in the works of (amongst others) Galileo, Kepler, Descartes, Newton, Leibniz, and Berkeley. This impressive volume will benefit scholars interested in the history of philosophy, mathematical philosophy and the history of mathematics.
Book Synopsis Science Without Numbers by : Hartry H. Field
Download or read book Science Without Numbers written by Hartry H. Field and published by Oxford University Press. This book was released on 2016 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Science Without Numbers caused a stir in 1980, with its bold nominalist approach to the philosophy of mathematics and science. It has been unavailable for twenty years and is now reissued in a revised edition with a substantial new preface presenting the author's current views and responses to the issues raised in subsequent debate.
Book Synopsis An Historical Introduction to the Philosophy of Mathematics: A Reader by : Russell Marcus
Download or read book An Historical Introduction to the Philosophy of Mathematics: A Reader written by Russell Marcus and published by Bloomsbury Publishing. This book was released on 2016-02-11 with total page 849 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive collection of historical readings in the philosophy of mathematics and a selection of influential contemporary work, this much-needed introduction reveals the rich history of the subject. An Historical Introduction to the Philosophy of Mathematics: A Reader brings together an impressive collection of primary sources from ancient and modern philosophy. Arranged chronologically and featuring introductory overviews explaining technical terms, this accessible reader is easy-to-follow and unrivaled in its historical scope. With selections from key thinkers such as Plato, Aristotle, Descartes, Hume and Kant, it connects the major ideas of the ancients with contemporary thinkers. A selection of recent texts from philosophers including Quine, Putnam, Field and Maddy offering insights into the current state of the discipline clearly illustrates the development of the subject. Presenting historical background essential to understanding contemporary trends and a survey of recent work, An Historical Introduction to the Philosophy of Mathematics: A Reader is required reading for undergraduates and graduate students studying the philosophy of mathematics and an invaluable source book for working researchers.
Book Synopsis Leśniewski's Systems of Logic and Foundations of Mathematics by : Rafal Urbaniak
Download or read book Leśniewski's Systems of Logic and Foundations of Mathematics written by Rafal Urbaniak and published by Springer Science & Business Media. This book was released on 2013-09-24 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This meticulous critical assessment of the ground-breaking work of philosopher Stanislaw Leśniewski focuses exclusively on primary texts and explores the full range of output by one of the master logicians of the Lvov-Warsaw school. The author’s nuanced survey eschews secondary commentary, analyzing Leśniewski's core philosophical views and evaluating the formulations that were to have such a profound influence on the evolution of mathematical logic. One of the undisputed leaders of the cohort of brilliant logicians that congregated in Poland in the early twentieth century, Leśniewski was a guide and mentor to a generation of celebrated analytical philosophers (Alfred Tarski was his PhD student). His primary achievement was a system of foundational mathematical logic intended as an alternative to the Principia Mathematica of Alfred North Whitehead and Bertrand Russell. Its three strands—‘protothetic’, ‘ontology’, and ‘mereology’, are detailed in discrete sections of this volume, alongside a wealth other chapters grouped to provide the fullest possible coverage of Leśniewski’s academic output. With material on his early philosophical views, his contributions to set theory and his work on nominalism and higher-order quantification, this book offers a uniquely expansive critical commentary on one of analytical philosophy’s great pioneers.
Book Synopsis A Structural Account of Mathematics by : Charles S. Chihara
Download or read book A Structural Account of Mathematics written by Charles S. Chihara and published by Clarendon Press. This book was released on 2004 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Charles Chihara's new book develops and defends a structural view of the nature of mathematics, and uses it to explain a number of striking features of mathematics that have puzzled philosophers for centuries. The view is used to show that, in order to understand how mathematical systems areapplied in science and everyday life, it is not necessary to assume that its theorems either presuppose mathematical objects or are even true.Chihara builds upon his previous work, in which he presented a new system of mathematics, the constructibility theory, which did not make reference to, or presuppose, mathematical objects. Now he develops the project further by analysing mathematical systems currently used by scientists to show howsuch systems are compatible with this nominalistic outlook. He advances several new ways of undermining the heavily discussed indispensability argument for the existence of mathematical objects made famous by Willard Quine and Hilary Putnam. And Chihara presents a rationale for the nominalisticoutlook that is quite different from those generally put forward, which he maintains have led to serious misunderstandings.A Structural Account of Mathematics will be required reading for anyone working in this field.
Book Synopsis Assumptions of Grand Logics by : J.K. Feibleman
Download or read book Assumptions of Grand Logics written by J.K. Feibleman and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: A system of philosophy of the sort presented in this and the following volumes begins with logic. Philosophy properly speaking is characterized by the kind oflogic it employs, for what it employs it assumes, however silently; and what it assumes it presupposes. The logic stands behind the ontology and is, so to speak, metaphysically prior. One word of caution. The philosophical aspects of logic have lagged behind the mathematical aspects in point of view of interest and develop ment. The work of N. Rescher and others have gone a long way to correct this. However, their work on philosophical logic has been more concerned with the logical than with the philosophical aspects. I have in mind another approach, one that would call attention to the ontological (systematic meta physics) or metaphysical (critical ontology) aspects, whichever term you prefer. It is this approach which I have pursued in the following chapters. Since together they stand at the head of a system of philosophy which has been developed in some seventeen books, a system which ranges over all of the topics of philosophy, the chosen approach can be seen as the necessary one. But I have not written any logic, I have merely indicated the sort of logic that has to be written.
Book Synopsis Cartesian Nightmare by : Peter A. Redpath
Download or read book Cartesian Nightmare written by Peter A. Redpath and published by Rodopi. This book was released on 1997 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book challenges the presupposition among professional philosophers that René Descartes is the Father of Modern Philosophy. It demonstrates by intensive textual analysis of Descartes's Discourse and Meditations that he inaugurated a new type of sophistry rather than a new way of conducting philosophy. Transcendental Sophistry is a synthesis of Renaissance humanism and Christian theology, especially the theology of creation. This striking re-evaluation of the achievement of Descartes opens the history of Western philosophy to radical reinterpretation.
Book Synopsis Nominalism and Its Aftermath: The Philosophy of Nelson Goodman by : Dena Shottenkirk
Download or read book Nominalism and Its Aftermath: The Philosophy of Nelson Goodman written by Dena Shottenkirk and published by Springer Science & Business Media. This book was released on 2009-06-25 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nelson Goodman’s disparate writings are often written about only within their own particular discipline, such that the epistemology is discussed in contrast to others’ epistemology, the aesthetics is contrasted with more traditional aesthetics, and the ontology and logic is viewed in contrast to both other contemporary philosophers and to Goodman’s historical predecessors. This book argues that that is not an adequate way to view Goodman. The separate disciplines of ontology, epistemology, and aesthetics should be viewed as sequential steps within his thought, such that each provides the ground rules for the next section and, furthermore, providing the reasons for limitations on the terms available to the subsequent writing(s). This is true not merely because this is the general chronology of his writing, but more importantly because within his metaphysics lies Goodman’s basic nominalist ontology and logic, and it is upon those principles that he builds his epistemology and, furthermore, it is the sum of both the metaphysics and the epistemology, with the nominalist principle as the guiding force, which constructs the aesthetics. At the end of each section of this book, the consequent limitations imposed on his terms and concepts available to him are explicated, such that, by the end of the book, the book delineates the constraints imposed upon the aesthetics by both the metaphysics and the epistemology. This book will benefit not only the professionals in the field of philosophy, but will also help both graduate and upper level undergraduate students understand Goodman’s disparate writings within their proper context, and hopefully will also encourage them to view philosophical thinking in a less truncated and departmentalized way.
Download or read book Nelson Goodman written by Daniel Cohnitz and published by Routledge. This book was released on 2014-12-18 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nelson Goodman's acceptance and critique of certain methods and tenets of positivism, his defence of nominalism and phenomenalism, his formulation of a new riddle of induction, his work on notational systems, and his analysis of the arts place him at the forefront of the history and development of American philosophy in the twentieth-century. However, outside of America, Goodman has been a rather neglected figure. In this first book-length introduction to his work Cohnitz and Rossberg assess Goodman's lasting contribution to philosophy and show that although some of his views may be now considered unfashionable or unorthodox, there is much in Goodman's work that is of significance today. The book begins with the "grue"-paradox, which exemplifies Goodman's way of dealing with philosophical problems. After this, the unifying features of Goodman's philosophy are presented - his constructivism, conventionalism and relativism - followed by an discussion of his central work, The Structure of Appearance and its significance in the analytic tradition. The following chapters present the technical apparatus that underlies his philosophy, his mereology and semiotics, which provides the background for discussion of Goodman's aesthetics. The final chapter examines in greater depth the presuppositions underlying his philosophy.
