Download or read book Finsler Set Theory Platonism and Circularity written by David Booth and published by Birkhäuser. This book was released on 2012-12-06 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finsler's papers on set theory are presented, here for the first time in English translation, in three parts, and each is preceded by an introduction to the field written by the editors. In the philosophical part of his work Finsler develops his approach to the paradoxes, his attitude toward formalized theories and his defense of Platonism in mathematics. He insisted on the existence of a conceptual realm within mathematics that transcends formal systems. From the foundational point of view, Finsler's set theory contains a strengthened criterion for set identity and a coinductive specification of the universe of sets. The notion of the class of circle free sets introduced by Finsler is potentially a very fertile one although not very widespread today. Combinatorially, Finsler considers sets as generalized numbers to which one may apply arithmetical techniques. The introduction to this third section of the book extends Finsler's theory to non-well-founded sets. The present volume makes Finsler's papers on set theory accessible at long last to a wider group of mathematicians, philosophers and historians of science. A technical background is not necessary to appreciate the satisfying interplay of philosophical and mathematical ideas that characterizes this work.
Download or read book Finsler Set Theory Platonism and Circularity written by David Booth and published by . This book was released on 1996 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Formalism and Beyond written by Godehard Link and published by Walter de Gruyter GmbH & Co KG. This book was released on 2014-10-09 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays collected in this volume focus on the role of formalist aspects in mathematical theorizing and practice, examining issues such as infinity, finiteness, and proof procedures, as well as central historical figures in the field, including Frege, Russell, Hilbert and Wittgenstein. Using modern logico-philosophical tools and systematic conceptual and logical analyses, the volume provides a thorough, up-to-date account of the subject.
Download or read book Themes from Weir A Celebration of the Philosophy of Alan Weir written by Adam Rieger and published by Springer Nature. This book was released on with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Conceptions of Set and the Foundations of Mathematics written by Luca Incurvati and published by Cambridge University Press. This book was released on 2020-01-23 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sets are central to mathematics and its foundations, but what are they? In this book Luca Incurvati provides a detailed examination of all the major conceptions of set and discusses their virtues and shortcomings, as well as introducing the fundamentals of the alternative set theories with which these conceptions are associated. He shows that the conceptual landscape includes not only the naïve and iterative conceptions but also the limitation of size conception, the definite conception, the stratified conception and the graph conception. In addition, he presents a novel, minimalist account of the iterative conception which does not require the existence of a relation of metaphysical dependence between a set and its members. His book will be of interest to researchers and advanced students in logic and the philosophy of mathematics.
Download or read book Chains of Being written by Ross P. Cameron and published by Oxford University Press. This book was released on 2022-04-14 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Chains of Being' argues that there can be infinite chains of dependence or grounding. Cameron also defends the view that there can be circular relations of ontological dependence or grounding, and uses these claims to explore issues in logic and ontology.
Download or read book Mathematics and Philosophy 2 written by Daniel Parrochia and published by John Wiley & Sons. This book was released on 2023-04-14 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Pythagoreans to Hegel, and beyond, this book gives a brief overview of the history of the notion of graphs and introduces the main concepts of graph theory in order to apply them to philosophy. In addition, this book presents how philosophers can use various mathematical notions of order. Throughout the book, philosophical operations and concepts are defined through examining questions relating the two kinds of known infinities – discrete and continuous – and how Woodin's approach can influence elements of philosophy. We also examine how mathematics can help a philosopher to discover the elements of stability which will help to build an image of the world, even if various approaches (for example, negative theology) generally cannot be valid. Finally, we briefly consider the possibilities of weakening formal thought represented by fuzziness and neutrosophic graphs. In a nutshell, this book expresses the importance of graphs when representing ideas and communicating them clearly with others.
Download or read book Conceptual Modeling written by Peter P. Chen and published by Springer. This book was released on 2003-05-21 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of selected papers presented at the Symposium on Conceptual Modeling, which was held in Los Angeles, California, on December 2, th 1997, immediately before the 16 International Conference on Conceptual Modeling (ER’97), which was held at UCLA. A total of eighteen papers were selected for inclusion in this volume. These papers are written by experts in the conceptual modeling area and represent the most current thinking of these experts. This volume also contains the summaries of three workshops that were held on 6 7 December 1997, immediately after the ER’97 conference at UCLA. The topics of these three workshops are: • Behavioral Modeling • Conceptual Modeling in Multimedia Information Seeking • What Is the Role of Cognition in Conceptual Modeling? Since these topics are not only very important but also very timely, we think it is appropriate to include the summary of these three workshops in this volume. Those readers interested in further investigating topics related to the three workshops can either look up the individual paper published on the Web or contact the authors directly. The summary paper by Chen at the beginning of this volume also includes the summary of several interesting speeches at the Symposium.
Download or read book Kurt G del Collected Works Volume IV written by Kurt Gödel and published by . This book was released on 2013-10 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century. These collected works form the only comprehensive edition of Gödel's work available and are designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.
Download or read book Kurt G del Collected Works Volume V written by Kurt Gödel and published by . This book was released on 2013-10 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel (1906 - 1978) was the most outstanding logician of the twentieth century. These collected works form the only comprehensive edition of Gödel's work available and are designed to be useful and accessible to as wide an audience as possible without sacrificing scientific or historical accuracy.
Download or read book On Einstein s Path written by Alex Harvey and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of nearly forty essays in honor of the noted physicist and cosmologist Engelbert Schucking spans the gamut of research in Einsteins theory of general relativity and presents a lively and personal account of current work in the field. Indispensable for physicists involved in research in the field, the book includes important chapters by noted theorists such as A. Ashtekar, P.G. Bergmann, J. Ehlers, E.T. Newman, J.V. Narlikar, R. Penrose, D.W. Sciama, J. Stachel, and W. Rindler.
Download or read book Mathematical Reviews written by and published by . This book was released on 1998 with total page 1236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Waldorf Education in an Inner City Public School written by and published by . This book was released on 1996 with total page 54 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Congressus Numerantium written by and published by . This book was released on 1998 with total page 690 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Research Bulletin written by and published by . This book was released on 1996 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Correspondence A G written by Kurt Gödel and published by . This book was released on 1986 with total page 696 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Books in Print written by and published by . This book was released on 1998 with total page 1140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
