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Mathematical Union, Fields Medals 2026<br \/>\n<a href=\"https:\/\/www.mathunion.org\/imu-awards\/fields-medal\/fields-medals-2026\" target=\"_blank\" rel=\"noopener\">https:\/\/www.mathunion.org\/imu-awards\/fields-medal\/fields-medals-2026<\/a><\/p>\n<p>Yu Deng, Zaher Hani and Xiao Ma, Long Time Derivation of the Boltzmann Equation from Hard Sphere Dynamics<br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2408.07818\" target=\"_blank\" rel=\"noopener\">https:\/\/arxiv.org\/abs\/2408.07818<\/a><\/p>\n<p>Yu Deng, Zaher Hani and Xiao Ma, Hilbert\u2019s Sixth Problem: Derivation of Fluid Equations via Boltzmann\u2019s Kinetic Theory<br \/>\n<a href=\"https:\/\/arxiv.org\/abs\/2503.01800\" target=\"_blank\" rel=\"noopener\">https:\/\/arxiv.org\/abs\/2503.01800<\/a><\/p>\n<p>","protected":false},"excerpt":{"rendered":"<p>The discussion following the Fields Medals focused on Yu Deng&#8217;s proof linking reversible microscopic motion to irreversible macroscopic behavior, illuminating entropy&#8217;s complexity. His research, while mathematically intricate, provides a philosophical framework that suggests entropy represents structural resistance in reason, enhancing our understanding of the relationship between mathematics and natural phenomena.<\/p>","protected":false},"author":17897162,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":true,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_geoff_meta_description_en":"Explores how Yu Deng\u2019s rigorous derivation links reversible microscopic motion to irreversible macroscopic behaviour, and what it implies for entropy\u2019s relation to reason.","_geoff_meta_description_zh":"\u8ba8\u8bba\u9093\u715c\u5982\u4f55\u628a\u53ef\u9006\u5fae\u89c2\u8fd0\u52a8\u4e25\u683c\u63a8\u5bfc\u5230\u4e0d\u53ef\u9006\u5b8f\u89c2\u884c\u4e3a\uff0c\u5e76\u7531\u6b64\u8ffd\u95ee\u71b5\u589e\u4e0e\u7406\u6027\u7684\u5173\u7cfb\u3002","_wpcom_ai_launchpad_first_post":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2},"jetpack_post_was_ever_published":false},"categories":[780925312,784633319,36593,783694611],"tags":[787294602,787294593,787294596,787294595,787294599,787294087,787294606,787294607,787294610,787294600,787294609,787294604,787294603,787294601,787294605,787294441,787294414,787294608,787294594,787294589,787294598,787294590,787294597,787294403,787294591,787294592,787294292],"class_list":["post-15609","post","type-post","status-publish","format-standard","hentry","category-reflections","category-ai-frontiers","category-kant","category-philosophy-notes","tag-ai-in-mathematics","tag-ai","tag-787294596","tag-787294595","tag-787294599","tag-epistemology","tag-formal-proof","tag-human-reasoning","tag-knowledge-without-a-knower","tag-knowledge-without-a-knowerartificial-intelligence","tag-mathematical-community","tag-mathematical-knowledge","tag-mathematical-proof","tag-mathematical-reasoning","tag-mathematical-theorems","tag-mathematics","tag-philosophy-of-mathematics","tag-philosophy-of-science","tag-787294594","tag-787294589","tag-787294598","tag-787294590","tag-787294597","tag-787294403","tag-787294591","tag-787294592","tag-787294292","","has-post-thumbnail","fallback-thumbnail"],"translatepress_titles":{"en_AU":"Could Entropy Be a Natural Resistance Encountered by Reason?\u2014 Reflections on the Work of Fields Medalist Yu Deng","zh_CN":"\u71b5\u589e\u4f1a\u4e0d\u4f1a\u662f\u7406\u6027\u63a8\u8fdb\u65f6\u9047\u5230\u7684\u81ea\u7136\u963b\u529b\uff1f\n\u2014\u2014\u4ece\u83f2\u5c14\u5179\u5956\u5f97\u4e3b\u9093\u715c\u7684\u7814\u7a76\u6210\u679c\u8bf4\u8d77"},"jetpack_publicize_connections":[],"jetpack_likes_enabled":false,"jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1ar9H-43L","jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/posts\/15609","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/users\/17897162"}],"replies":[{"embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/comments?post=15609"}],"version-history":[{"count":4,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/posts\/15609\/revisions"}],"predecessor-version":[{"id":15613,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/posts\/15609\/revisions\/15613"}],"wp:attachment":[{"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/media?parent=15609"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/categories?post=15609"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/geoffreychen.com\/zh\/wp-json\/wp\/v2\/tags?post=15609"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}