Essays On G Del S Reception Of Leibniz Husserl And Brouwer
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Essays On G Del S Reception Of Leibniz Husserl And Brouwer
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Author : Mark van Atten
language : en
Publisher: Springer
Release Date : 2014-11-21
Essays On G Del S Reception Of Leibniz Husserl And Brouwer written by Mark van Atten and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-11-21 with Philosophy categories.
This volume tackles Gödel's two-stage project of first using Husserl's transcendental phenomenology to reconstruct and develop Leibniz' monadology, and then founding classical mathematics on the metaphysics thus obtained. The author analyses the historical and systematic aspects of that project, and then evaluates it, with an emphasis on the second stage. The book is organised around Gödel's use of Leibniz, Husserl and Brouwer. Far from considering past philosophers irrelevant to actual systematic concerns, Gödel embraced the use of historical authors to frame his own philosophical perspective. The philosophies of Leibniz and Husserl define his project, while Brouwer's intuitionism is its principal foil: the close affinities between phenomenology and intuitionism set the bar for Gödel's attempt to go far beyond intuitionism. The four central essays are `Monads and sets', `On the philosophical development of Kurt Gödel', `Gödel and intuitionism', and `Construction and constitution in mathematics'. The first analyses and criticises Gödel's attempt to justify, by an argument from analogy with the monadology, the reflection principle in set theory. It also provides further support for Gödel's idea that the monadology needs to be reconstructed phenomenologically, by showing that the unsupplemented monadology is not able to found mathematics directly. The second studies Gödel's reading of Husserl, its relation to Leibniz' monadology, and its influence on his publishe d writings. The third discusses how on various occasions Brouwer's intuitionism actually inspired Gödel's work, in particular the Dialectica Interpretation. The fourth addresses the question whether classical mathematics admits of the phenomenological foundation that Gödel envisaged, and concludes that it does not. The remaining essays provide further context. The essays collected here were written and published over the last decade. Notes have been added to record further thoughts, changes of mind, connections between the essays, and updates of references.
Handbook Of The History And Philosophy Of Mathematical Practice
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Author : Bharath Sriraman
language : en
Publisher: Springer Nature
Release Date : 2024-04-26
Handbook Of The History And Philosophy Of Mathematical Practice written by Bharath Sriraman and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-26 with Mathematics categories.
The purpose of this unique handbook is to examine the transformation of the philosophy of mathematics from its origins in the history of mathematical practice to the present. It aims to synthesize what is known and what has unfolded so far, as well as to explore directions in which the study of the philosophy of mathematics, as evident in increasingly diverse mathematical practices, is headed. Each section offers insights into the origins, debates, methodologies, and newer perspectives that characterize the discipline today. Contributions are written by scholars from mathematics, history, and philosophy – as well as other disciplines that have contributed to the richness of perspectives abundant in the study of philosophy today – who describe various mathematical practices throughout different time periods and contrast them with the development of philosophy. Editorial Advisory Board Andrew Aberdein, Florida Institute ofTechnology, USA Jody Azzouni, Tufts University, USA Otávio Bueno, University of Miami, USA William Byers, Concordia University, Canada Carlo Cellucci, Sapienza University of Rome, Italy Chandler Davis, University of Toronto, Canada (1926-2022) Paul Ernest, University of Exeter, UK Michele Friend, George Washington University, USA Reuben Hersh, University of New Mexico, USA (1927-2020) Kyeong-Hwa Lee, Seoul National University, South Korea Yuri Manin, Max Planck Institute for Mathematics, Germany (1937-2023) Athanase Papadopoulos, University of Strasbourg, France Ulf Persson, Chalmers University of Technology, Sweden John Stillwell, University of San Francisco, USA David Tall, University of Warwick, UK (1941-2024) This book with its exciting depth and breadth, illuminates us about the history, practice, and the very language of our subject; about the role of abstraction, ofproof and manners of proof; about the interplay of fundamental intuitions; about algebraic thought in contrast to geometric thought. The richness of mathematics and the philosophy encompassing it is splendidly exhibited over the wide range of time these volumes cover---from deep platonic and neoplatonic influences to the most current experimental approaches. Enriched, as well, with vivid biographies and brilliant personal essays written by (and about) people who play an important role in our tradition, this extraordinary collection of essays is fittingly dedicated to the memory of Chandler Davis, Reuben Hersh, and Yuri Manin. ---Barry Mazur, Gerhard Gade University Professor, Harvard University This encyclopedic Handbook will be a treat for all those interested in the history and philosophy of mathematics. Whether one is interested in individuals (from Pythagoras through Newton and Leibniz to Grothendieck), fields (geometry, algebra, number theory, logic, probability, analysis), viewpoints (from Platonism to Intuitionism), or methods (proof, experiment, computer assistance), the reader will find a multitude of chapters that inform and fascinate. ---John Stillwell, Emeritus Professor of Mathematics, University of San Francisco; Recipient of the 2005 Chauvenet Prize Dedicating a volume to the memory of three mathematicians – Chandler Davis, Reuben Hersh, and Yuri Manin –, who went out of their way to show to a broader audience that mathematics is more than what they might think, is an excellent initiative. Gathering authors coming from many different backgrounds but who are very strict about the essays they write was successfully achieved by the editor-in-chief. The result: a great source of potential inspiration! ---Jean-Pierre Bourguignon; Nicolaas Kuiper Honorary Professor at the Institut des Hautes Études Scientifiques
Weyl And The Problem Of Space
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Author : Julien Bernard
language : en
Publisher: Springer Nature
Release Date : 2019-10-09
Weyl And The Problem Of Space written by Julien Bernard and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-10-09 with Science categories.
This book investigates Hermann Weyl’s work on the problem of space from the early 1920s onwards. It presents new material and opens the philosophical problem of space anew, crossing the disciplines of mathematics, history of science and philosophy. With a Kantian starting point Weyl asks: among all the infinitely many conceivable metrical spaces, which one applies to the physical world? In agreement with general relativity, Weyl acknowledges that the metric can quantitatively vary with the physical situation. Despite this freedom, Weyl “deduces”, with group-theoretical technicalities, that there is only one “kind” of legitimate metric. This construction was then decisive for the development of gauge theories. Nevertheless, the question of the foundations of the metric of physical theories is only a piece of a wider epistemological problem. Contributing authors mark out the double trajectory that goes through Weyl’s texts, from natural science to philosophy and conversely, always through the mediation of mathematics. Readers may trace the philosophical tradition to which Weyl refers and by which he is inspired (Kant, Husserl, Fichte, Leibniz, Becker etc.), and explore the mathematical tradition (Riemann, Helmholtz, Lie, Klein) that permitted Weyl to elaborate and solve his mathematical problem of space. Furthermore, this volume analyzes the role of the interlocutors with whom Weyl discussed the nature of physical space (Einstein, Cartan, De Sitter, Schrödinger, Eddington). This volume features the work of top specialists and will appeal to postgraduates and scholars in philosophy, the history of science, mathematics, or physics.
The Architecture And Archaeology Of Modern Logic
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Author : Ansten Klev
language : en
Publisher: Springer Nature
Release Date : 2024-10-02
The Architecture And Archaeology Of Modern Logic written by Ansten Klev and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-02 with Philosophy categories.
This book honors the original and influential work by Göran Sundholm in the fields of the philosophy and history of logic and mathematics. Borne from two conferences held in Paris and Leiden on the occasion of Göran Sundholm’s retirement in 2019, the contributions collected in this volume represent work from leading logicians and philosophers. Reflecting Sundholm’s contributions to the history and philosophy of logic, this book is divided into two parts: the architecture and archaeology of logic. The essays collected in the ‘architecture’ section cover primarily the systematic approach to basic logical concepts taken by Sundholm, including type theory, epistemic assumptions, and notions of consequence. The ‘archaeology’ section includes contributions focused on Sundholm’s contributions to the history of philosophy and logic. Enclosing these two sections are, on the one end, autobiographical remarks of Sundholm's and, on the other, a paper on cooking and philosophy, reflectinganother of Sundholm's passions in life. This book is of interest to logicians, philosophers, mathematicians, and computer scientists.
Christianity And Confucianism
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Author : Christopher Hancock
language : en
Publisher: Bloomsbury Publishing
Release Date : 2020-12-10
Christianity And Confucianism written by Christopher Hancock and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-10 with Religion categories.
Christianity and Confucianism: Culture, Faith and Politics, sets comparative textual analysis against the backcloth of 2000 years of cultural, political, and religious interaction between China and the West. As the world responds to China's rise and China positions herself for global engagement, this major new study reawakens and revises an ancient conversation. As a generous introduction to biblical Christianity and the Confucian Classics, Christianity and Confucianism tells a remarkable story of mutual formation and cultural indebtedness. East and West are shown to have shaped the mind, heart, culture, philosophy and politics of the other - and far more, perhaps, than either knows or would want to admit. Christopher Hancock has provided a rich and stimulating resource for scholars and students, diplomats and social scientists, devotees of culture and those who pursue wisdom and peace today.
Horizons Of Phenomenology
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Author : Jeff Yoshimi
language : en
Publisher: Springer Nature
Release Date : 2023-04-11
Horizons Of Phenomenology written by Jeff Yoshimi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-11 with Philosophy categories.
This is an open access book which explores phenomenology as both an exceptionally diverse movement in philosophy as well as an active research method that crosses disciplinary boundaries. The volume brings together lively overviews of major areas and schools of phenomenology, as well as the most recent applications across a range of fields. The first part reviews the state-of-the-art in various areas of contemporary phenomenology, including several distinct schools of Husserl and Heidegger scholarship, as well as approaches derived from Merleau-Ponty, de Beauvoir, Fanon, and others. An innovative quantitative analysis of citation networks provides rich visualizations of the field as a whole. The second part showcases phenomenology as a living discipline that can advance research in other areas. While some areas of interaction between phenomenology and other disciplines are by now well established (e.g. cognitive science), this volume sheds light on newer areas of application. The goal is to move beyond discussions of philosophical method and highlight scholars who are actually doing phenomenology in a variety of areas, including: Embodiment and questions of gender, race, and identity, The arts (visual art, literature, architecture), and Archaeology and anthropology. This volume offers a concise introduction to cutting edge phenomenological research and is suitable for both students and specialists.
Time Temporality And Violence In International Relations
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Author : Anna M. Agathangelou
language : en
Publisher: Routledge
Release Date : 2016-03-02
Time Temporality And Violence In International Relations written by Anna M. Agathangelou and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-02 with Political Science categories.
Time transforms the way we see world politics and insinuates itself into the ways we act. In this groundbreaking volume, Agathangelou and Killian bring together scholars from a range of disciplines to tackle time and temporality in international relations. The authors – critical theorists, artists, and poets – theorize and speak from the vantage point of the anticolonial, postcolonial, and decolonial event. They investigate an array of experiences and structures of violence – oppression, neocolonization, slavery, war, poverty and exploitation – focusing on the tensions produced by histories of slavery and colonization and disrupting dominant modes of how we understand present times. This edited volume takes IR in a new direction, defatalizing the ways in which we think about dominant narratives of violence, ‘peace’ and ‘liberation’, and renewing what it means to decolonize today’s world. It challenges us to confront violence and suffering and articulates another way to think the world, arguing for an understanding of the ‘present’ as a vulnerable space through which radically different temporal experiences appear. And it calls for a disruption of the "everyday politics of expediency" in the guise of neoliberalism and security. This volume reorients the ethical and political assumptions that affectively, imaginatively, and practically captivate us, simultaneously unsettling the familiar, but dubious, promises of a modernity that decimates political life. Re-animating an international political, the authors evoke people’s struggles and movements that are neither about redemption nor erasure, but a suspension of time for radical new beginnings.
Semantics And Truth
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Author : Jan Woleński
language : en
Publisher: Springer Nature
Release Date : 2020-01-01
Semantics And Truth written by Jan Woleński and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-01 with Philosophy categories.
The book provides a historical (with an outline of the history of the concept of truth from antiquity to our time) and systematic exposition of the semantic theory of truth formulated by Alfred Tarski in the 1930s. This theory became famous very soon and inspired logicians and philosophers. It has two different, but interconnected aspects: formal-logical and philosophical. The book deals with both, but it is intended mostly as a philosophical monograph. It explains Tarski’s motivation and presents discussions about his ideas (pro and contra) as well as points out various applications of the semantic theory of truth to philosophical problems (truth-criteria, realism and anti-realism, future contingents or the concept of correspondence between language and reality).
Maximen Iv Maxims Iv
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Author : Kurt Gödel
language : de
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-05-08
Maximen Iv Maxims Iv written by Kurt Gödel 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 2023-05-08 with Philosophy categories.
Der Mathematiker Kurt Gödel hat über einen Zeitraum von 22 Jahren (1934-1955) philosophische Bemerkungen, die so genannten Maximen Philosophie (Max Phil), niedergeschrieben. Sie sind in 15 Notizbüchern in der Kurzschrift Gabelsberger überliefert. Das erste Heft enthält allgemeine philosophische Überlegungen, die Hefte zwei und drei bestehen aus Gödels Individualethik. Die dann folgenden zeigen, dass Gödel eine Wissenschaftsphilosophie entworfen hat, in der er seine Erörterungen zu Physik, Psychologie, Biologie, Mathematik, Sprache, Theologie und Geschichte in den Kontext einer Metaphysik stellt. Erstmals wird nun an der Kurt-Gödel-Forschungsstelle der Berlin-Brandenburgischen Akademie der Wissenschaften eine vollständige, historisch-kritische Edition von Gödels Philosophischen Notizbüchern vorbereitet. Im Rahmen dieser Edition erscheint jährlich ein Band. In Band 4 setzt Gödel sich mit Grundlagenfragen der Mathematik und Logik sowie der Philosophie der Mathematik auseinander. Zudem stehen das Verhältnis verschiedener wissenschaftlicher Disziplinen zueinander und deren spezifische Fragestellungen im Zentrum seiner Überlegungen. Zu nennen sind hier insbesondere Philosophie, Psychologie, aber auch Theologie.
Oskar Becker On The Logic Of Modalities 1930 Translation Commentary And Analysis
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Author : Stefania Centrone
language : en
Publisher: Springer Nature
Release Date : 2022-04-11
Oskar Becker On The Logic Of Modalities 1930 Translation Commentary And Analysis written by Stefania Centrone and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-04-11 with Philosophy categories.
This book offers the first-ever English translation of Oskar Becker’s Zur Logik der Modalitäten. This essay, published in 1930, is a pioneering yet often neglected contribution in the context of prewar modal logic research in Europe. Becker’s text is complemented by an extended commentary that explains, analyzes and highlights Becker’s accomplishments and the philosophical background of his investigations. The commentary provides an in-depth analysis of all of Becker's important contributions, both from a philosophical and logical perspective, making it a very useful book for scholars in both philosophy and logic.