Finsler Set Theory Platonism And Circularity
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Finsler Set Theory Platonism And Circularity
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Author : David Booth
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06
Finsler Set Theory Platonism And Circularity written by David Booth and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Formalism And Beyond
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Author : Godehard Link
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2014-10-09
Formalism And Beyond written by Godehard Link and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-10-09 with Philosophy categories.
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.
Chains Of Being
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Author : Ross P. Cameron
language : en
Publisher: Oxford University Press
Release Date : 2022-03-10
Chains Of Being written by Ross P. Cameron and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-10 with Philosophy categories.
In Chains of Being, Ross P. Cameron argues for both Metaphysical Infinitism, the view that there can be infinitely descending chains of ontological dependence or grounding, with no bottom level of fundamental things or facts, and Metaphysical Holism, the view that there can be circles of ontological dependence or grounding. Cameron argues against the widespread orthodoxy of Metaphysical Foundationalism: that everything in reality is ultimately accounted for by a base class of fundamental phenomena. In doing so, he makes the case against another widespread orthodoxy: that relations like grounding and ontological dependence are explanatory relations. Cameron provides an alternative account of metaphysical explanation that does not tie explanation to determination relations like grounding and ontological dependence, and he shows how explanation works in infinitist and holistic metaphysics. Embracing the possibility of infinite regress and circularity can be theoretically fruitful, as is shown by applying it to a number of cases across a wide range of philosophical areas, including: non-well-founded set theory, mathematical structuralism, the metaphysics of persons, the metaphysics of gender and sexuality, the semantic paradoxes, and others. In the course of exploring these applications, Cameron defends distinctive views concerning when an infinite regress is vicious, the nature of truth, non-classical logic and dialetheism, social construction, and more.
Themes From Weir A Celebration Of The Philosophy Of Alan Weir
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Author : Adam Rieger
language : en
Publisher: Springer Nature
Release Date : 2024-05-30
Themes From Weir A Celebration Of The Philosophy Of Alan Weir written by Adam Rieger and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-05-30 with Science categories.
This book celebrates and explores some philosophical issues raised by the work of Alan Weir, who is Professor Emeritus at the University of Glasgow, having previously held positions at the Universities of Oxford, Edinburgh and Queen’s, Belfast. In a number of areas, Weir has elaborated strikingly original views which involve a radical departure from the mainstream. These include formalism in the philosophy of mathematics, and as well as naïve set theory, with a universal set, and a naïve theory of truth. In contrast to other contemporary defenders of the latter two theories, Weir rejects dialetheism and accepts classical rules for the logical connectives. He avoids contradictions by restricting certain structural inference rules, specifically some generalized versions of transitivity. In addition, Weir has developed radical versions of naturalism and physicalism (partly informed by his work on Quine) and perceptual realism. This collection includes contributions by a distinguished group of philosophers on Weir’s philosophy, as well as a memoir and a new essay on the philosophy of mathematics by Weir himself.
Integrating Differences Philosopical Aspects In Sociology And Vice Versa
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Author : Georg Peter
language : en
Publisher: BoD – Books on Demand
Release Date : 2025-07-07
Integrating Differences Philosopical Aspects In Sociology And Vice Versa written by Georg Peter and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-07 with Language Arts & Disciplines categories.
Integrating Differences: Philosopical Aspects in Sociology and Vice Versa Commemorative Volume in honor of Gerhard Preyer
Conceptions Of Set And The Foundations Of Mathematics
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Author : Luca Incurvati
language : en
Publisher: Cambridge University Press
Release Date : 2020-01-23
Conceptions Of Set And The Foundations Of Mathematics written by Luca Incurvati and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with History categories.
Presents a detailed and critical examination of the available conceptions of set and proposes a novel version.
Finsler Set Theory Platonism And Circularity
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Author : David Booth
language : en
Publisher:
Release Date : 1996
Finsler Set Theory Platonism And Circularity written by David Booth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Set theory categories.
Mathematics And Philosophy 2
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Author : Daniel Parrochia
language : en
Publisher: John Wiley & Sons
Release Date : 2023-04-14
Mathematics And Philosophy 2 written by Daniel Parrochia and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-14 with Mathematics categories.
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.
Conceptual Modeling
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Author : Peter P. Chen
language : en
Publisher: Springer
Release Date : 2003-05-21
Conceptual Modeling written by Peter P. Chen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-05-21 with Computers categories.
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.
Kurt G Del Collected Works Volume Iv
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Author : Kurt Gödel
language : en
Publisher:
Release Date : 2013-10
Kurt G Del Collected Works Volume Iv written by Kurt Gödel and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10 with Computers categories.
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.