Download or read book Essays on G del s Reception of Leibniz Husserl and Brouwer written by Mark van Atten and published by Springer. This book was released on 2014-11-21 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Handbook of the History and Philosophy of Mathematical Practice written by Bharath Sriraman and published by Springer Nature. This book was released on with total page 3221 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Weyl and the Problem of Space written by Julien Bernard and published by Springer Nature. This book was released on 2019-10-09 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book From Leibniz to Kant written by Katherine Laura Dunlop and published by mentis Verlag GmbH. This book was released on 2019-02-22 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: G.W. Leibniz's legacy to philosophy is extraordinary for his vast body of work, for his originality and prescience, and for his influence. The aim of this volume is to provide a state-of-the-art exploration of Leibniz's philosophy and its legacy, especially in the period up to Kant.The essays collected here offer new insights into signature elements of Leibniz's thought – the theory of contingency, anti-materialism, the principle of sufficient reason, the metaphysics of substance, and his philosophy of mind – as well as the influence of predecessors such as Lull, Descartes, and Malebranche, the reckoning of his ideas in the works of Wolff and Kant, and the contributions of Clarke, Baumgarten, Meier, Du Châtelet, and others to the content, transmission, and reception of Leibnizian philosophy.
Download or read book The Architecture and Archaeology of Modern Logic written by Ansten Klev and published by Springer Nature. This book was released on with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Horizons of Phenomenology written by Jeff Yoshimi and published by Springer Nature. This book was released on 2023-04-11 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Christianity and Confucianism written by Christopher Hancock and published by Bloomsbury Publishing. This book was released on 2020-12-10 with total page 697 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Semantics and Truth written by Jan Woleński and published by Springer Nature. This book was released on 2020-01-01 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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).
Download or read book Time Temporality and Violence in International Relations written by Anna M. Agathangelou and published by Routledge. This book was released on 2016-03-02 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Oskar Becker On the Logic of Modalities 1930 Translation Commentary and Analysis written by Stefania Centrone and published by Springer Nature. This book was released on 2022-04-11 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book On Brouwer written by Markus Sebastiaan Paul Rogier van Atten and published by Cengage Learning. This book was released on 2004 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a concise, yet comprehensive, introduction to this philosopher's most important ideas.
Download or read book Mathematics and the Roots of Postmodern Thought written by Vladimir Tasic and published by Oxford University Press. This book was released on 2001-08-30 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a charming and insightful contribution to an understanding of the "Science Wars" between postmodernist humanism and science, driving toward a resolution of the mutual misunderstanding that has driven the controversy. It traces the root of postmodern theory to a debate on the foundations of mathematics early in the 20th century, then compares developments in mathematics to what took place in the arts and humanities, discussing issues as diverse as literary theory, arts, and artificial intelligence. This is a straightforward, easily understood presentation of what can be difficult theoretical concepts It demonstrates that a pattern of misreading mathematics can be seen both on the part of science and on the part of postmodern thinking. This is a humorous, playful yet deeply serious look at the intellectual foundations of mathematics for those in the humanities and the perfect critical introduction to the bases of modernism and postmodernism for those in the sciences.
Download or read book New Essays on Leibniz Reception written by Ralph Krömer and published by Springer Science & Business Media. This book was released on 2012-03-13 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a collection of essays on the reception of Leibniz’s thinking in the sciences and in the philosophy of science in the 19th and 20th centuries. Authors studied include C.F. Gauss, Georg Cantor, Kurd Lasswitz, Bertrand Russell, Ernst Cassirer, Louis Couturat, Hans Reichenbach, Hermann Weyl, Kurt Gödel and Gregory Chaitin. In addition, we consider concepts and problems central to Leibniz’s thought and that of the later authors: the continuum, space, identity, number, the infinite and the infinitely small, the projects of a universal language, a calculus of logic, a mathesis universalis etc. The book brings together two fields of research in the history of philosophy and of science (research on Leibniz, and the research concerned with some major developments in the 19th and 20th centuries); it describes how Leibniz’s thought appears in the works of these authors, in order to better understand Leibniz’s influence on contemporary science and philosophy; but it also assesses that reception critically, confronting it in particular with the current state of Leibniz research and with the various editions of his work.
Download or read book Edmund Husserl s Origin of Geometry written by Jacques Derrida and published by U of Nebraska Press. This book was released on 1989-01-01 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edmund Husserl's Origin of Geometry": An Introduction (1962) is Jacques Derrida's earliest published work. In this commentary-interpretation of the famous appendix to Husserl's The Crisis of European Sciences and Transcendental Phenomenology, Derrida relates writing to such key concepts as differing, consciousness, presence, and historicity. Starting from Husserl's method of historical investigation, Derrida gradually unravels a deconstructive critique of phenomenology itself, which forms the foundation for his later criticism of Western metaphysics as a metaphysics of presence. The complete text of Husserl's Origin of Geometry is included.
Download or read book Who One Is written by J.G. Hart and published by Springer Science & Business Media. This book was released on 2009-04-21 with total page 579 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both volumes of this work have as their central concern to sort out who one is from what one is. In this Book 1, the focus is on transcendental-phenomenological ontology. When we refer to ourselves we refer both non-ascriptively in regard to non-propertied as well as ascriptively in regard to propertied aspects of ourselves. The latter is the richness of our personal being; the former is the essentially elusive central concern of this Book 1: I can be aware of myself and refer to myself without it being necessary to think of any third-personal characteristic; indeed one may be aware of oneself without having to be aware of anything except oneself. This consideration opens the door to basic issues in phenomenological ontology, such as identity, individuation, and substance. In our knowledge and love of Others we find symmetry with the first-person self-knowledge, both in its non-ascriptive forms as well as in its property-ascribing forms. Love properly has for its referent the Other as present through but beyond her properties. Transcendental-phenomenological reflections move us to consider paradoxes of the “transcendental person”. For example, we contend with the unpresentability in the transcendental first-person of our beginning or ending and the undeniable evidence for the beginning and ending of persons in our third-person experience. The basic distinction between oneself as non-sortal and as a person pervaded by properties serves as a hinge for reflecting on “the afterlife”. This transcendental-phenomenological ontology of necessity deals with some themes of the philosophy of religion.
Download or read book Phenomenology Logic and the Philosophy of Mathematics written by Richard L. Tieszen and published by Cambridge University Press. This book was released on 2005-06-06 with total page 369 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this 2005 book, logic, mathematical knowledge and objects are explored alongside reason and intuition in the exact sciences.
Download or read book Logic and Philosophy of Mathematics in the Early Husserl written by Stefania Centrone and published by Springer Science & Business Media. This book was released on 2010-05-06 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic and Philosophy of Mathematics in the Early Husserl focuses on the first ten years of Edmund Husserl’s work, from the publication of his Philosophy of Arithmetic (1891) to that of his Logical Investigations (1900/01), and aims to precisely locate his early work in the fields of logic, philosophy of logic and philosophy of mathematics. Unlike most phenomenologists, the author refrains from reading Husserl’s early work as a more or less immature sketch of claims consolidated only in his later phenomenology, and unlike the majority of historians of logic she emphasizes the systematic strength and the originality of Husserl’s logico-mathematical work. The book attempts to reconstruct the discussion between Husserl and those philosophers and mathematicians who contributed to new developments in logic, such as Leibniz, Bolzano, the logical algebraists (especially Boole and Schröder), Frege, and Hilbert and his school. It presents both a comprehensive critical examination of some of the major works produced by Husserl and his antagonists in the last decade of the 19th century and a formal reconstruction of many texts from Husserl’s Nachlaß that have not yet been the object of systematical scrutiny. This volume will be of particular interest to researchers working in the history, and in the philosophy, of logic and mathematics, and more generally, to analytical philosophers and phenomenologists with a background in standard logic.
