[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-40415-en":3,"doc-seo-40415-105":30,"detail-sidebar-cat-0-en-105":83},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":20,"is_deleted":4,"is_public":21,"is_downloadable":21,"audit_status":21,"page_count":22,"language":23,"language_code":24,"site_id":25,"html_lang":24,"table_of_contents":26,"faqs":27,"seo_title":13,"seo_description":14,"update_tm":28,"read_time":29},40415,8796095461610,"Oliver","https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c",8,"Research & Report","Autonomy, Therefore Necessity: Jean Cavaillès’s Contribution to a Theory of Science","An introduction and contextual study centers on Jean Cavaillès’s On Logic and the Theory of Science, emphasizing why its arguments remain demanding and how translation choices aim to preserve rather than resolve its enigmas. The text discusses the challenges posed by Cavaillès’s concise, often enigmatic style, and frames his technical background in the revolutions of twentieth-century logic and mathematics. It highlights links to differential geometry metaphors, and situates his doctoral work in the history of abstract set theory and debates between formalists and intuitionists.","Published in 2021 by  \nUrbanomic Media Ltd.  \nThe Old Lemonade Factory  \nWindsor Quarry  \nFalmouth TR11 3EX  \nUnited Kingdom  \nand  \nSequence Press  \n88 Eldridge Street New York  \nNY 10002 United States  \nAll rights reserved.  \nNo part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording or any other information storage or retrieval system, without prior permission in writing from the publisher.  \nUS Library of Congress Control Number: 2020950957 British Library Cataloguing-in-Publication Data  \nA full catalogue record of this book is available from the British Library  \nISBN (Print edition) 978-1-7336281-0-5  \nDistributed by the MIT Press,  \nCambridge, Massachusetts and London, England  \n[www.urbanomic.com](www.urbanomic.com)  \n[www.sequencepress.com](www.sequencepress.com)  \nd_r0  \n‘Autonomy, Therefore Necessity’: Jean Cavaillès’s Contribution to a Theory of Science  \nKnox Peden  \nThe preface and notice translated below read more likedares than invitations to study On Logic and the Theory of Science. Gaston Bachelard hints at the challenges to come in his description of Cavaillès’s sentences as ‘often enigmatic in their concision’. The work’s editors, Georges Canguilhem and Charles Ehresmann, were more frank when they presented the fruits of their original efforts in 1946. Apparently they considered authoring an introduction that might ‘shed some light on the background context of philosophical and mathematical culture which Cavaillès precisely wished to be taken for granted’. But they feared the result would be mere commentary. Instead, apart from filling in references, they presented the work without apparatus and with the conjecture that Cavaillès believed ‘those who did not make the effort to understand did not deserve to be enlightened’, a judgment all the more perplexing given that we are advised in the next paragraph that the problems raised in the pages to follow ‘cannot honestly receive any definitive solution’.  \nReaders should know that translating Cavaillès’s essay has conferred no special advantage on this score. Our strategy has been less to resolve the enigmas of Cavaillès’s writing than to preserve them in English. As for the context required even to understand them as enigmas, it is at least plausible that Cavaillès could take some mathematical culture for granted on the part of his readership. But such is not the case today, given the historical distance and a  \nnew audience for whom Parisian philosophy in the interwar years has a hermetic, often parochial quality. Fortunately, alot of ongoing work in intellectual history is giving scholars and students access to this moment.1  \nThe institutional setting for Cavaillès’s effort is in some sense the easy part. More problematic is his technical aptitude in scientific fields with notorious barriers to entry. To reconstruct the mental space in which Cavaillès thought would require a complete study of the revolutions in logic and mathematics that shaped the first half of the twentieth century. Even so, obscurities would remain. There is something in On Logic and the Theory of Science to baffle everyone. Steeped in a philosophical formation at the crossroads of neo-Kantianism and phenomenology, Cavaillès brings to mathematics questions that are beyond the mathematician’s purview. And yet often he will make a mathematical allusion to illustrate a philosophical point, such as when he presents science as ‘a Riemannian volume, closed and yet without any exterior’. This concept from differential geometry—more typically known as a‘Riemannian manifold’—is an illuminating metaphor for figuring science in its historical relationship to other regions of thought. It is even more illuminating for readers versed in differential geometry.  \nJean Cavaillès’s doctoral work, published in two separate volumes in 1938, was in the history of mathematics, primarily in the formation of abstract set theory and the disp","cbCair0y9iLGYrRi","https://ap.wps.com/l/cbCair0y9iLGYrRi","pdf",1817091,4,1,99,"English","en",105,"# Preface and translation strategy\n# Cavaillès’s technical aptitude and intellectual setting\n## Logic and mathematics revolutions\n## Mathematical culture and audience distance\n# Doctoral work and historical-philosophical problem\n## Set theory and disputes between formalists and intuitionists\n# Philosophical defense and scientific discovery","[{\"question\":\"Which mathematical and philosophical influences are described as shaping Cavaillès’s approach?\",\"answer\":\"The document describes Cavaillès as formed at the crossroads of neo-Kantianism and phenomenology, and it also links him to historical disputes in mathematics involving figures like Cantor, Hilbert, and Brouwer.\"}]",1783311293,249,{"code":4,"msg":31,"data":32},"ok",{"site_id":25,"language":24,"slug":33,"title":13,"keywords":34,"description":14,"schema_data":35,"social_meta":78,"head_meta":80,"extra_data":82,"updated_unix":28},"autonomy-therefore-necessity-jean-cavailless-contribution-to-a-theory-of-science","",{"@graph":36,"@context":77},[37,53,68],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,48,51],{"item":41,"name":42,"@type":43,"position":21},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":47},"https://docshare.wps.com/document/","Document",2,{"item":49,"name":12,"@type":43,"position":50},"https://docshare.wps.com/document/research-report/",3,{"item":52,"name":13,"@type":43,"position":20},"https://docshare.wps.com/document/autonomy-therefore-necessity-jean-cavailless-contribution-to-a-theory-of-science/40415/",{"url":52,"name":13,"@type":54,"author":55,"headline":13,"publisher":57,"fileFormat":60,"inLanguage":24,"description":14,"dateModified":61,"datePublished":62,"encodingFormat":60,"isAccessibleForFree":63,"interactionStatistic":64},"DigitalDocument",{"name":9,"@type":56},"Person",{"url":41,"name":58,"@type":59},"DocShare","Organization","application/pdf","2026-07-19","2026-07-06",true,{"@type":65,"interactionType":66,"userInteractionCount":20},"InteractionCounter",{"@type":67},"ViewAction",{"@type":69,"mainEntity":70},"FAQPage",[71],{"name":72,"@type":73,"acceptedAnswer":74},"Which mathematical and philosophical influences are described as shaping Cavaillès’s approach?","Question",{"text":75,"@type":76},"The document describes Cavaillès as formed at the crossroads of neo-Kantianism and phenomenology, and it also links him to historical disputes in mathematics involving figures like Cantor, Hilbert, and Brouwer.","Answer","https://schema.org",{"og:url":52,"og:type":79,"og:title":13,"og:site_name":58,"og:description":14},"article",{"robots":81,"canonical":52},"index,follow",{"doc_id":7,"site_id":25},{"code":4,"msg":5,"data":84},[85,89,93,97,102,107,112,115,120,123,127],{"id":21,"doc_module":4,"doc_module_name":46,"category_name":86,"show_sort_weight":87,"slug":88},"Story & Novel",90,"story-novel",{"id":47,"doc_module":4,"doc_module_name":46,"category_name":90,"show_sort_weight":91,"slug":92},"Literature",80,"literature",{"id":20,"doc_module":4,"doc_module_name":46,"category_name":94,"show_sort_weight":95,"slug":96},"Exam",70,"exam",{"id":98,"doc_module":4,"doc_module_name":46,"category_name":99,"show_sort_weight":100,"slug":101},5,"Comic",60,"comic",{"id":103,"doc_module":4,"doc_module_name":46,"category_name":104,"show_sort_weight":105,"slug":106},6,"Technology",50,"technology",{"id":108,"doc_module":4,"doc_module_name":46,"category_name":109,"show_sort_weight":110,"slug":111},7,"Healthcare",40,"healthcare",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":113,"slug":114},30,"research-report",{"id":116,"doc_module":4,"doc_module_name":46,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":46,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":46,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":46,"category_name":129,"show_sort_weight":98,"slug":130},19,"General","general"]