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Author : John Acheson Faris
Publisher :
ISBN 13 :
Total Pages : 32 pages
Book Rating : 4.:/5 (321 download)
Download or read book Plato's Theory of Forms and Cantor's Theory of Sets written by John Acheson Faris and published by . This book was released on 1968 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : International Society for Neoplatonic Studies
Publisher : SUNY Press
ISBN 13 : 9780873955331
Total Pages : 204 pages
Book Rating : 4.9/5 (553 download)
Download or read book The Structure of Being written by International Society for Neoplatonic Studies and published by SUNY Press. This book was released on 1982-01-01 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neoplatonism has sometimes been seen as a species of mysticism. This volume shows that Neoplatonism has, on the contrary, a characteristic and definable structure. It presents the logic of Neoplatonism and carefully distinguishes it from the logic of other forms of philosophy.
Author : Simo Knuuttila
Publisher : Springer Science & Business Media
ISBN 13 : 9401576629
Total Pages : 332 pages
Book Rating : 4.4/5 (15 download)
Download or read book Reforging the Great Chain of Being written by Simo Knuuttila and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sports reporter might say that in a competition all the participants realize their potentialities or possibilities. When an athlete performs far below his usual standard, it can be said that it was possible for him to do better. But the idea of fair play requires that this use of 'possible' refers to another com petition. It is presumed that the best athlete wins and that no real possibility of doing better is left unrealized in a competition. Here we have a use of language, a language game, in which modal notions are used so as to imply that if something is possible, it is realized. This idea does not belong to the general presuppositions of current ordinary usage. It is, nevertheless, not difficult to fmd other similar examples outside of the language of sports. It may be that such a use of modal notions is sometimes calculated to express that in the context in question there are no real alternative courses of events in contradistinction to other cases in which some possible alternatives remain unrealized. Even though modal notions are currently interpreted without the presup position that each genuine possibility should be realized at some moment of the actual history, there are contemporary philosophical models of modalities which incorporate this presupposition. In his book Untersuchungen tiber den Modalkalkiil (Anton Hain, Meisenheim am Glan 1952, pp. 16-36), Oscar Becker presents a statistical interpretation of modal calculi.
Author : Richard McKirahan
Publisher : Routledge
ISBN 13 : 1136236090
Total Pages : 634 pages
Book Rating : 4.1/5 (362 download)
Download or read book Plato and Socrates (RLE: Plato) written by Richard McKirahan and published by Routledge. This book was released on 2012-11-12 with total page 634 pages. Available in PDF, EPUB and Kindle. Book excerpt: This valuable work of reference provides a comprehensive bibliography on all scholarly work that was published on Plato and Socrates during the years 1958-73. It thus forms an important addition to Harold Cherniss’s bibliography, which covered the years 1950-7. The author has sought to include all materials primarily concerned with Socrates and Plato, together with other works which make a contribution to our understanding of the two philosophers. The bibliography is arranged by topic and there are cross-references at the end of each section. The works in each category are arranged chronologically and then alphabetically (by author) within each year. An effort has been made to distinguish when a book has had more than one edition and when an article has been reprinted. Additionally the author has listed reviews of books and dissertations as these have come to his attention.
Author : Louise Grinstein
Publisher : Routledge
ISBN 13 : 1136787232
Total Pages : 912 pages
Book Rating : 4.1/5 (367 download)
Download or read book Encyclopedia of Mathematics Education written by Louise Grinstein and published by Routledge. This book was released on 2001-03-15 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 2001. Routledge is an imprint of Taylor & Francis, an informa company.
Author : E.M. Barth
Publisher : Springer Science & Business Media
ISBN 13 : 9401098662
Total Pages : 556 pages
Book Rating : 4.4/5 (1 download)
Download or read book The Logic of the Articles in Traditional Philosophy written by E.M. Barth and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: When the original Dutch version of this book was presented in 1971 to the University of Leiden as a thesis for the Doctorate in philosophy, I was prevented by the academic mores of that university from expressing my sincere thanks to three members of the Philosophical Faculty for their support of and interest in my pursuits. I take the liberty of doing so now, two and a half years later. First and foremost I want to thank Professor G. Nuchelmans warmly for his expert guidance of my research. A number of my most im portant sources were brought to my attention by him. During the whole process of composing this book his criticism and encouragement were carried out in a truly academic spirit. He thereby provided working conditions that are a sine qua non for every author who is attempting to approach controversial matters in a scientific manner, conditions which, however, were not easily available at that time. In a later phase I also came into contact with Professors L. M. de Rijk and J. B. Ubbink, with both of whom I had highly stimulating discussions and exchanges of ideas. The present edition contains some entirely new sections, viz. 1-9, IV-29, V-9, V-20, VII-14 (iii), (iv), VII-17 (i), VIII-22, IX-17, IX-19, X-9 and XI-8. Section X-9 was inspired by a remark made by Professor A.
Author : Dale Jacquette
Publisher : BRILL
ISBN 13 : 9789004116498
Total Pages : 420 pages
Book Rating : 4.1/5 (164 download)
Download or read book David Hume's Critique of Infinity written by Dale Jacquette and published by BRILL. This book was released on 2001 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new study of David Hume s philosophy of mathematics critically examines his objections to the concept of infinity, and his alternative phenomenalist theory of space and time as constituted by minima sensibilia or sensible extensionless indivisibles.
Author : Robert Sherrick Brumbaugh
Publisher : SUNY Press
ISBN 13 : 9780873955508
Total Pages : 290 pages
Book Rating : 4.9/5 (555 download)
Download or read book The Philosophers of Greece written by Robert Sherrick Brumbaugh and published by SUNY Press. This book was released on 1981-01-01 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Illustrations include a reconstruction of the first map.
Author : Lynn Gamwell
Publisher : Princeton University Press
ISBN 13 : 0691165289
Total Pages : 576 pages
Book Rating : 4.6/5 (911 download)
Download or read book Mathematics and Art written by Lynn Gamwell and published by Princeton University Press. This book was released on 2016 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a cultural history of mathematics and art, from antiquity to the present. Mathematicians and artists have long been on a quest to understand the physical world they see before them and the abstract objects they know by thought alone. Taking readers on a tour of the practice of mathematics and the philosophical ideas that drive the discipline, Lynn Gamwell points out the important ways mathematical concepts have been expressed by artists. Sumptuous illustrations of artworks and cogent math diagrams are featured in Gamwell's comprehensive exploration. Gamwell begins by describing mathematics from antiquity to the Enlightenment, including Greek, Islamic, and Asian mathematics. Then focusing on modern culture, Gamwell traces mathematicians' search for the foundations of their science, such as David Hilbert's conception of mathematics as an arrangement of meaning-free signs, as well as artists' search for the essence of their craft, such as Aleksandr Rodchenko's monochrome paintings. She shows that self-reflection is inherent to the practice of both modern mathematics and art, and that this introspection points to a deep resonance between the two fields: Kurt Gödel posed questions about the nature of mathematics in the language of mathematics and Jasper Johns asked "What is art?" in the vocabulary of art. Throughout, Gamwell describes the personalities and cultural environments of a multitude of mathematicians and artists, from Gottlob Frege and Benoît Mandelbrot to Max Bill and Xu Bing. Mathematics and Art demonstrates how mathematical ideas are embodied in the visual arts and will enlighten all who are interested in the complex intellectual pursuits, personalities, and cultural settings that connect these vast disciplines.
Author :
Publisher : Elsevier
ISBN 13 : 0080930581
Total Pages : 735 pages
Book Rating : 4.0/5 (89 download)
Download or read book Philosophy of Mathematics written by and published by Elsevier. This book was released on 2009-07-08 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the most striking features of mathematics is the fact that we are much more certain about the mathematical knowledge we have than about what mathematical knowledge is knowledge of. Are numbers, sets, functions and groups physical entities of some kind? Are they objectively existing objects in some non-physical, mathematical realm? Are they ideas that are present only in the mind? Or do mathematical truths not involve referents of any kind? It is these kinds of questions that have encouraged philosophers and mathematicians alike to focus their attention on issues in the philosophy of mathematics. Over the centuries a number of reasonably well-defined positions about the nature of mathematics have been developed and it is these positions (both historical and current) that are surveyed in the current volume. Traditional theories (Platonism, Aristotelianism, Kantianism), as well as dominant modern theories (logicism, formalism, constructivism, fictionalism, etc.), are all analyzed and evaluated. Leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) is also discussed. The result is a handbook that not only provides a comprehensive overview of recent developments but that also serves as an indispensable resource for anyone wanting to learn about current developments in the philosophy of mathematics.-Comprehensive coverage of all main theories in the philosophy of mathematics-Clearly written expositions of fundamental ideas and concepts-Definitive discussions by leading researchers in the field-Summaries of leading-edge research in related fields (set theory, computability theory, probability theory, paraconsistency) are also included
Author : Kip K. Sewell
Publisher : Rond Books
ISBN 13 :
Total Pages : 828 pages
Book Rating : 4.9/5 (881 download)
Download or read book Forever Finite written by Kip K. Sewell and published by Rond Books. This book was released on 2023-08-01 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt: INFINITY IS NOT WHAT IT SEEMS… Infinity is commonly assumed to be a logical concept, reliable for conducting mathematics, describing the Universe, and understanding the divine. Most of us are educated to take for granted that there exist infinite sets of numbers, that lines contain an infinite number of points, that space is infinite in expanse, that time has an infinite succession of events, that possibilities are infinite in quantity, and over half of the world’s population believes in a divine Creator infinite in knowledge, power, and benevolence. According to this treatise, such assumptions are mistaken. In reality, to be is to be finite. The implications of this assessment are profound: the Universe and even God must necessarily be finite. The author makes a compelling case against infinity, refuting its most prominent advocates. Any defense of the infinite will find it challenging to answer the arguments laid out in this book. But regardless of the reader’s position, Forever Finite offers plenty of thought-provoking material for anyone interested in the subject of infinity from the perspectives of philosophy, mathematics, science, and theology.
Author : John Dillon
Publisher : Walter de Gruyter
ISBN 13 : 3050061111
Total Pages : 352 pages
Book Rating : 4.0/5 (5 download)
Download or read book Platonism and Forms of Intelligence written by John Dillon and published by Walter de Gruyter. This book was released on 2012-10-31 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume contains a collection of papers presented at the International Symposium, which took place in Hvar, Croatia, in 2006. In recent years there has been an upsurge of interest in the study of Plato, Platonism and Neoplatonism. Taking the position that it is of vital importance to establish an ongoing dialogue among scientists, artists, academics, theologians and philosophers concerning pressing issues of common interest to humankind, this collection of papers endeavours to bridge the gap between contemporary research in Platonist philosophy and other fields where insights gained from the study of Plato and Platonist philosophy can be of consequence and benefit. Authors: Werner Beierwaltes, Luc Brisson, Amber Carpenter, John Dillon, Jonathan Doner, Franco Ferrari, Francesco Fronterotta, F.A.J. de Haas, Aaron Hughes, Byron Kaldis, Daniel Kolak, Thomas Leinkauf, Dionysis Mentzeniotis, Jean-Marc Narbonne, Giannis Stamatellos, Vladimir Stoupel, Patrick Quinn, Jure Zovko and Marie-Élize Zovko
Author :
Publisher : BRILL
ISBN 13 : 9004333215
Total Pages : 292 pages
Book Rating : 4.0/5 (43 download)
Download or read book Idealization XI: Historical Studies on Abstraction and Idealization written by and published by BRILL. This book was released on 2016-08-29 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discussions about abstraction are so important and so profound that this topic can hardly be neglected. It has inevitably cropped up again in various periods of philosophical enquiry. Despite these ancient roots and after the great debate that characterised the empirical and rationalistic tradition, interest in the problem has unfortunately been absent in large measure from the mainstream of mathematical logic and analytic philosophy. It seems that there is a gap between the epistemological theorization, in which it is difficult to find new insights on the problem of abstraction, and the historical studies concerning the development of philosophical thought. Such studies, however, present a more fertile ground for such insights. Here the reader will find presented for the first time a collection of papers about the topic, considered from an historical point of view together with an awareness of the need for building a bridge between historical research and theoretical speculation. Accordingly the volume consists of both general overviews which sketch the signifcance and the fortunes of abstraction in science, philosophy and logic (the first part) and historical case studies which focus on abstraction in particular thinkers (the second part). This volume is of interest for both general philosophers and historians of philosophy.
Author :
Publisher :
ISBN 13 :
Total Pages : 672 pages
Book Rating : 4.3/5 (2 download)
Download or read book The National union catalog, 1968-1972 written by and published by . This book was released on 1973 with total page 672 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Elena Ficara
Publisher : Taylor & Francis
ISBN 13 : 100381364X
Total Pages : 121 pages
Book Rating : 4.0/5 (38 download)
Download or read book The Formalization of Dialectics written by Elena Ficara and published by Taylor & Francis. This book was released on 2023-12-01 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the relationship between Hegel’s dialectics and formal logic. It examines the concept of dialectics, its meaning, and its use in contemporary thought. The volume opens the “old” debate about the formalization of Hegel’s dialectics and is motivated by the idea that asking about the connection between Hegel’s dialectics and formal logic is still relevant, for various reasons: Firstly, a new Hegel is circulating nowadays in the philosophical literature, with specific reference to Hegel’s dialectical logic and its relation to the history and philosophy of logic. Secondly, new research about the connection between contradictory logical systems and Hegel's dialectics is also being developed. Finally, there have been recent confirmations that the concept of dialectics is of general interest, and that the usual perplexities about the Hegelian triadic and fairly mechanic device of ‘yes, not, and not not’ are in remission. The chapters feature philosophically and historically motivated presentations of formal features of Hegel’s dialectics, critical considerations about the very idea of ‘formalizing dialectics’ and presentations of past attempts to formalize Hegel’s dialectics. The Formalization of Dialectics will be a key resource for scholars and researchers of the history and philosophy of logic and Hegel’s dialectics. It will also be of interest to anyone who wants to know more about the concept of dialectics, its meaning and its use in contemporary thought. This book was originally published as a special issue of History and Philosophy of Logic.
Author : Andrew Gibson
Publisher : OUP Oxford
ISBN 13 : 0191525901
Total Pages : 340 pages
Book Rating : 4.1/5 (915 download)
Download or read book Beckett and Badiou written by Andrew Gibson and published by OUP Oxford. This book was released on 2007-01-11 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beckett and Badiou offers a provocative new reading of Samuel Beckett's work on the basis of a full, critical account of the thought of Alain Badiou. Badiou is the most eminent of contemporary French philosophers. His devotion to Beckett's work has been lifelong. Yet for Badiou philosophy must be integrally affirmative, whilst Beckett apparently commits his art to a work of negation. Beckett and Badiou explores the coherences, contradictions, and extreme complexities of the intellectual relationship between the two oeuvres. It examines Badiou's philosophy of being, the event, truth, and the subject and the importance of mathematics within his system. It considers the major features of his politics, ethics, and aesthetics and provides an explanation, interpretation, critique, and radical revision of his work on Beckett. It argues that, once revised, Badiou's version of Beckett offers an extraordinarily powerful tool for understanding his work. Badiou and Beckett are instances of a vestigial or melancholic modernism; that is, in the teeth of a contemporary culture that dreams ever more ambitiously of plenitude, they commit themselves to a rigorous concept of limit and intermittency. Truth and value are occasional and rare. It is seldom that the chance event arrives to disturb the inertia of the world. For Badiou, however, it is the event and its consequences alone that matter. Beckett rather insists on the common experience of intermittency as destitution. His art is a series of limit-figures, exquisitely subtle and nuanced forms for a world whose state of seemingly rigid paralysis is also always volatile, delicately balanced.
Author : Sean Bowden
Publisher : Edinburgh University Press
ISBN 13 : 0748668330
Total Pages : 289 pages
Book Rating : 4.7/5 (486 download)
Download or read book Badiou and Philosophy written by Sean Bowden and published by Edinburgh University Press. This book was released on 2012-06-30 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of thirteen essays engages directly with the work of Alain Badiou, focusing specifically on the philosophical content of his work and the various connections he established with both his contemporaries and his philosophical heritage.
