[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-39778-en":3,"doc-seo-39778-105":30,"detail-sidebar-cat-0-en-105":90},{"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},39778,549758252649,"Ivy","https://ap-avatar.wpscdn.com/avatar/8000253669c5317157?_k=1778319167496531819",2,"Literature","Kant's Mathematical World","Kant’s Mathematical World explains how Immanuel Kant understood mathematics and its relation to the world of experience. Daniel Sutherland reconstructs Kant’s project of accounting for mathematical cognition and for our cognition of objects through basic cognitive capacities. Placing Kant within a tradition from Euclid, the book clarifies Kant’s view of mathematics as a science of magnitudes and measurement, linking extensive magnitudes to objects of experience while intensive magnitudes determine their real properties. The result connects the philosophy of mathematics with critical philosophy.","KANT ’ S MATHEMATICAL WORLD  \nKant’s Mathematical World aims to transform our understanding of Kant’s philosophy of mathematics and his account of the mathematical character of the world. Daniel Sutherland reconstructs Kant’s project of explaining both mathematical cognition and our cognition of the world in terms of our most basic cognitive capacities. He situates Kant in a long mathematical tradition with roots in Euclid’s Elements, and thereby recovers the very different way of thinking about mathematics which existed prior to its “arithmetization” in the nineteenth century. He shows that Kant thought of mathematics as a science of magnitudes and their measurement, and all objects of experience as extensive magnitudes whose real properties have intensive magnitudes, thus tying mathematics directly to the world. His book will appeal to anyone interested in Kant’s critical philosophy – his account of the world of experience, his philosophy of mathematics, and how the two inform each other.  \n􀀁􀀃􀀄􀀅􀀆􀀇 􀀈􀀉􀀊􀀋􀀆􀀌􀀇􀀃􀀄􀀁 is Associate Professor of Philosophy at the University of Illinois at Chicago. He has published numerous articles on Kant’s philosophy of mathematics and philosophy of science, including their relation to Euclid, Newton, Leibniz, Frege, and others.  \nKANT ’ S MATHEMATICAL WORLD  \nMathematics, Cognition, and Experience  \nDANIEL SUTHERLAND  \nUniversity of Illinois, Chicago  \nUniversity Printing House, Cambridge CB2 8BS, United Kingdom One Liberty Plaza, 20th Floor, New York, NY 10006, USA  \n477 Williamstown Road, Port Melbourne, VIC 3207, Australia 314–321, 3rd Floor, Plot 3, Splendor Forum, Jasola District Centre, New Delhi – 110025, India  \n103 Penang Road, \\#05–06/07, Visioncrest Commercial, Singapore 238467 Cambridge University Press is part of the University of Cambridge.  \nIt furthers the University’s mission by disseminating knowledge in the pursuit of education, learning, and research at the highest international levels of excellence.  \n[www.cambridge.org](www.cambridge.org)  \nInformation on this [title: www.cambridge.org/9781108429962](title: www.cambridge.org/9781108429962)[ ](title: www.cambridge.org/9781108429962)DOI: 10. 1017/9781108555746  \n© Daniel Sutherland 2022  \nThis publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press.  \nFirst published 2022  \nA catalogue record for this publication is available from the British Library.  \nLibrary of Congress Cataloging-in-Publication Data  \nNames: Sutherland, Daniel, 1961– author.  \nTitle: Kant’s mathematical world : mathematics, cognition, and experience / Daniel Sutherland, University of Illinois, Chicago.  \nDescription: Cambridge, UK ; New York, NY : Cambridge University Press, [2022] | Includes bibliographical references and index.  \nIdentifiers: LCCN 2021024849 (print) | LCCN 2021024850 (ebook) | ISBN 9781108429962 (hardback) | ISBN 9781108455107 (paperback) | ISBN 9781108555746 (epub)  \nSubjects: LCSH: Kant, Immanuel, 1724–1804 . | Mathematics–Philosophy. | BISAC: PHILOSOPHY / History & Surveys / Modern Classification: LCC QA8.4 .S945 2021 (print) | LCC QA8.4 (ebook) | DDC 510.1–dc23 LC record available at [https://lccn.loc.gov/2021024849](https://lccn.loc.gov/2021024849)[ ](https://lccn.loc.gov/2021024849)LC ebook record available at [https://lccn.loc.gov/2021024850](https://lccn.loc.gov/2021024850)  \nISBN 978-1-108-42996-2 Hardback  \nCambridge University Press has no responsibility for the persistence or accuracy of URLs for external or third-party internet websites referred to in this publication and does not guarantee that any content on such websites is, or will remain, accurate or appropriate.  \nTo Irmgard Sutherland and to the memory of  \nJ. Paul Sutherland  \nCONTENTS  \nPreface and Acknowledgments xi  \n1 Introduction: Mathematics and the World of Experience 1  \n1.1 Kant and the Theor","cbCaioudeJrxc7m9","https://ap.wps.com/l/cbCaioudeJrxc7m9","pdf",2929450,4,1,318,"English","en",105,"# Preface and Acknowledgments\n# Introduction: Mathematics and the World of Experience\n## Kant and the Theory of Magnitudes\n## Mathematics Then and Now\n## Mathematics in Kant’s Theoretical Philosophy\n## Kantian Transformations\n## Kant’s Theory of Magnitudes and Kant Interpretation\n## Overview of the Work\n# Mathematics, Magnitudes, and the Conditions of Experience\n# Space, Time, and Mathematics in the Critique of Pure Reason\n## Introduction\n## Mathematics in the Transcendental Aesthetic and the Axioms\n## Space and Time in the Transcendental Aesthetic and the Axioms\n## Determination, Construction, and Mathematics\n## Determination, Construction, and Magnitudes in the Axioms\n## The Possibility of Mathematics Revisited\n## Mathematics in the Transcendental Aesthetic and the Axioms Revisited\n## Two Objections and Kant’s Formulation of the Axioms Principle\n## Conclusion\n# Magnitudes, Mathematics, and Experience in the Axioms of Intuition\n## Introduction\n## The Magnitude Argument\n## Kant on the Definition of Concepts\n## Kant’s Definition of the Concept of Magnitude\n## Quantum and Quantitas\n## Quanta and Quantitas in the Schematism\n## Summary\n# Extensive and Intensive Magnitudes and Continuity","[{\"question\":\"How does the book connect Kant’s philosophy of mathematics to human experience?\",\"answer\":\"It explains mathematical cognition and cognition of the world through basic cognitive capacities. It presents mathematics as grounded in magnitudes that structure experience.\"},{\"question\":\"What is Kant’s central view of mathematics as described in this work?\",\"answer\":\"Mathematics is treated as a science of magnitudes and measurement. The book links extensive magnitudes to objects of experience and intensive magnitudes to their real properties.\"},{\"question\":\"Which intellectual tradition does the author place Kant in?\",\"answer\":\"Kant is situated in a long mathematical tradition rooted in Euclid’s Elements. This framing highlights how Kant’s thinking differs from later nineteenth-century “arithmetization” of mathematics.\"}]",1783086718,490,{"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":85,"head_meta":87,"extra_data":89,"updated_unix":28},"kants-mathematical-world","",{"@graph":36,"@context":84},[37,52,67],{"@type":38,"itemListElement":39},"BreadcrumbList",[40,44,47,50],{"item":41,"name":42,"@type":43,"position":21},"https://docshare.wps.com","Home","ListItem",{"item":45,"name":46,"@type":43,"position":11},"https://docshare.wps.com/document/","Document",{"item":48,"name":12,"@type":43,"position":49},"https://docshare.wps.com/document/literature/",3,{"item":51,"name":13,"@type":43,"position":20},"https://docshare.wps.com/document/kants-mathematical-world/39778/",{"url":51,"name":13,"@type":53,"author":54,"headline":13,"publisher":56,"fileFormat":59,"inLanguage":24,"description":14,"dateModified":60,"datePublished":61,"encodingFormat":59,"isAccessibleForFree":62,"interactionStatistic":63},"DigitalDocument",{"name":9,"@type":55},"Person",{"url":41,"name":57,"@type":58},"DocShare","Organization","application/pdf","2026-07-12","2026-07-03",true,{"@type":64,"interactionType":65,"userInteractionCount":20},"InteractionCounter",{"@type":66},"ViewAction",{"@type":68,"mainEntity":69},"FAQPage",[70,76,80],{"name":71,"@type":72,"acceptedAnswer":73},"How does the book connect Kant’s philosophy of mathematics to human experience?","Question",{"text":74,"@type":75},"It explains mathematical cognition and cognition of the world through basic cognitive capacities. It presents mathematics as grounded in magnitudes that structure experience.","Answer",{"name":77,"@type":72,"acceptedAnswer":78},"What is Kant’s central view of mathematics as described in this work?",{"text":79,"@type":75},"Mathematics is treated as a science of magnitudes and measurement. The book links extensive magnitudes to objects of experience and intensive magnitudes to their real properties.",{"name":81,"@type":72,"acceptedAnswer":82},"Which intellectual tradition does the author place Kant in?",{"text":83,"@type":75},"Kant is situated in a long mathematical tradition rooted in Euclid’s Elements. This framing highlights how Kant’s thinking differs from later nineteenth-century “arithmetization” of mathematics.","https://schema.org",{"og:url":51,"og:type":86,"og:title":13,"og:site_name":57,"og:description":14},"article",{"robots":88,"canonical":51},"index,follow",{"doc_id":7,"site_id":25},{"code":4,"msg":5,"data":91},[92,96,99,103,108,113,118,123,128,131,135],{"id":21,"doc_module":4,"doc_module_name":46,"category_name":93,"show_sort_weight":94,"slug":95},"Story & Novel",90,"story-novel",{"id":11,"doc_module":4,"doc_module_name":46,"category_name":12,"show_sort_weight":97,"slug":98},80,"literature",{"id":20,"doc_module":4,"doc_module_name":46,"category_name":100,"show_sort_weight":101,"slug":102},"Exam",70,"exam",{"id":104,"doc_module":4,"doc_module_name":46,"category_name":105,"show_sort_weight":106,"slug":107},5,"Comic",60,"comic",{"id":109,"doc_module":4,"doc_module_name":46,"category_name":110,"show_sort_weight":111,"slug":112},6,"Technology",50,"technology",{"id":114,"doc_module":4,"doc_module_name":46,"category_name":115,"show_sort_weight":116,"slug":117},7,"Healthcare",40,"healthcare",{"id":119,"doc_module":4,"doc_module_name":46,"category_name":120,"show_sort_weight":121,"slug":122},8,"Research & Report",30,"research-report",{"id":124,"doc_module":4,"doc_module_name":46,"category_name":125,"show_sort_weight":126,"slug":127},9,"Religion & Spirituality",20,"religion-spirituality",{"id":126,"doc_module":4,"doc_module_name":46,"category_name":129,"show_sort_weight":126,"slug":130},"World Cup","world-cup",{"id":132,"doc_module":4,"doc_module_name":46,"category_name":133,"show_sort_weight":132,"slug":134},10,"Lifestyle","lifestyle",{"id":136,"doc_module":4,"doc_module_name":46,"category_name":137,"show_sort_weight":104,"slug":138},19,"General","general"]