Weyl and the Problem of Space: From Science to Philosophy
暫譯: 韋爾與空間問題：從科學到哲學
Bernard, Julien, Lobo, Carlos
- 出版商: Springer
- 出版日期: 2019-10-18
- 售價: $5,640
- 貴賓價: 9.5 折 $5,358
- 語言: 英文
- 頁數: 430
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3030115267
- ISBN-13: 9783030115265
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商品描述
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, Schr dinger, 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.
商品描述(中文翻譯)
這本書探討了赫爾曼·韋爾（Hermann Weyl）自1920年代初以來對空間問題的研究。它呈現了新的材料，並重新開啟了空間的哲學問題，跨越數學、科學史和哲學的學科。以康德（Kant）的出發點，韋爾提出：在所有無限多的可想像度量空間中，哪一種適用於物理世界？與廣義相對論一致，韋爾承認度量可以根據物理情況定量變化。儘管有這種自由，韋爾仍然以群論的技術推導出只有一種「合法」的度量「類型」。這一構造對於規範理論的發展至關重要。然而，物理理論度量的基礎問題僅僅是更廣泛的認識論問題的一部分。
貢獻的作者描繪了韋爾文本中穿梭於自然科學與哲學之間的雙重軌跡，始終通過數學的媒介。讀者可以追溯韋爾所提及的哲學傳統及其靈感來源（康德、胡塞爾、費希特、萊布尼茲、貝克等），並探索使韋爾能夠闡述和解決其空間數學問題的數學傳統（黎曼、亥姆霍茲、李群、克萊因）。此外，本卷分析了韋爾與討論物理空間本質的對話者（愛因斯坦、卡坦、德西特、薛丁格、艾丁頓）之間的角色。
本卷匯集了頂尖專家的研究成果，將吸引哲學、科學史、數學或物理學的研究生和學者。
作者簡介
Julien Bernard is currently assistant professor at Aix-Marseille University. His laboratory is the Centre Gilles Gaston Granger, UMR 7304. Before this, he was postdoctorate researcher at Zukunftskolleg (University of Constance), and also worked for the ANR Gödel on Kurt Gödel's unpublished papers. His research interest is primarily in philosophy of physics, mathematics and logic, focussing on the relationships between the great traditional philosophical systems (Leibnizian metaphysics, neo-Kantianism, Husserlian phenomenology) and the scientific revolutions of the beginning of the twentieth century.
He has published two monographs - L'idéalisme dans l'infinitésimal and L'Analyse mathématique du problème de l'espace (French-German commented edition of Weyl's text) - and several specialized articles on Hermann Weyl, on the problem of space, on Gödel's Leibnizian interpretation of quantum mechanics, and on the foundations of mathematics. He serves as reviewer for the journals Lato Sensu, Journal of Symbolic Logic, and for the GDR 3719 "Philosophie des mathématiques." He has also been awarded by the "Prix Paul Ricoeur 2013" of University Paris-Nanterre, and was winner of several important funding programs for his Art-Philosophy-Science project "Biomorphism" (notably: the "Interdisciplinarite 2016" AMIDEX funding program at Aix-Marseille and the funding program of the Foundation Daniel and Nina Carasso, Paris).
Carlos Lobo is currently member of the Collège international de philosophie and of the Center of Philosophy of Sciences (University of Lisbon). For over 30 years, while preparing students to the Ecole Normal Supérieure competitive exam, he pursued his research in phenomenology and epistemology. After a first monograph on the methodology of transcendental phenomenology (Le phénoménologue et ses exemples, in 2000), he published several contributions on phenomenological issues such as intersubjectivity, temporality, individuation, and axiology, showing their epistemological import for the understanding and critical clarification of formal logic, probability theory, and physics. Those contributions are particularly illustrated by a series of contributions such as "Self-variation and self-modification" in The Phenomenology of Embodied Subjectivity, Springer, 2013, 263-283, "Husserl's Reform of Logic. An introduction" in New Yearbook for Phenomenology and Phenomenological Philosophy, 2017; "Some Reasons to reopen the question of foundations of probability theory following the Rota way" in The Philosophers and Mathematicians, ed. H. Tahiri, Springer, 2018; "Le maniérisme épistémologique de Gilles Châtelet. Relativité et exploration de l'a priori esthétique chez Châtelet, Weyl et Husserl," Revue de Synthèse, Brill, n° 137, 2018. As a translator (from German, English, and Spanish), Lobo has published Husserl's Les leçons sur l'éthique et la théorie de la valeur, PUF, 1999, and more recently Weyl's Philosophie des mathématiques et des sciences de la nature, Métis Presses, Geneva, 2017.
作者簡介(中文翻譯)
朱利安·伯納德目前是艾克斯-馬賽大學的助理教授。他的實驗室是吉爾斯·甘登·格朗熱中心（Centre Gilles Gaston Granger, UMR 7304）。在此之前，他曾在康斯坦茨大學的Zukunftskolleg擔任博士後研究員，並且參與了ANR Gödel計畫，研究庫爾特·哥德爾的未發表論文。他的研究興趣主要集中在物理學、數學和邏輯的哲學上，專注於偉大的傳統哲學體系（萊布尼茨的形而上學、新康德主義、胡塞爾的現象學）與二十世紀初科學革命之間的關係。
他已出版兩部專著 - 無窮小的唯心主義和空間問題的數學分析（韋爾文本的法德註釋版） - 以及幾篇關於赫爾曼·韋爾、空間問題、哥德爾的萊布尼茨詮釋量子力學和數學基礎的專業文章。他擔任期刊Lato Sensu、符號邏輯期刊及GDR 3719「數學哲學」的審稿人。他還獲得了巴黎南泰爾大學的「保羅·里科爾獎2013」，並且是其藝術-哲學-科學項目「生物形態學」的幾個重要資助計畫的獲獎者（特別是：艾克斯-馬賽的「跨學科2016」AMIDEX資助計畫和巴黎丹尼爾與尼娜·卡拉索基金會的資助計畫）。
卡洛斯·洛博目前是國際哲學學院的成員以及里斯本大學科學哲學中心的成員。在過去的30多年中，他在準備學生參加高等師範學校的競爭考試的同時，進行現象學和認識論的研究。在2000年發表了第一部專著，探討超越現象學的方法論（現象學家及其範例），之後發表了幾篇關於現象學問題的貢獻，如他者性、時間性、個體化和價值論，顯示這些問題對於理解和批判性澄清形式邏輯、概率論和物理學的認識論意義。這些貢獻特別體現在一系列的文章中，例如在具身主體性的現象學（Springer, 2013, 263-283）中的「自我變異與自我修正」、「胡塞爾的邏輯改革：導論」發表於現象學與現象學哲學新年鑑（2017）；「根據羅塔的方式重新探討概率論基礎問題的一些理由」發表於哲學家與數學家（編輯：H. Tahiri, Springer, 2018）；「吉爾·查特萊的認識論風格：相對性與查特萊、韋爾和胡塞爾的美學先驗探索」發表於綜合評論（Brill, n° 137, 2018）。作為翻譯者（從德語、英語和西班牙語），洛博出版了胡塞爾的倫理學與價值理論講義（PUF, 1999），以及最近的韋爾的數學與自然科學的哲學（Métis Presses, 日內瓦, 2017）。
