The Banach–Tarski Paradox
6 人推荐 · 跨 7 个月 · 2015–2024
中文导读
科普频道 Vsauce 用 24 分钟深入浅出解析著名的 Banach-Tarski 悖论。视频从无穷大和集合论基础循序渐进铺垫，最终推导出如何将一个球体拆分重组为两个与原球大小完全相同的球体。
为什么 HN 推它
兼具严谨性与观赏性的数学科普天花板，既是理解集合论与无限概念的绝佳抓手，也让人忍不住频频暂停思考并反复回味。
「Vsauce 这期视频是一堂极其精准（而且妙趣横生！）的集合论入门课。」HN 网友原话：This vsauce video is actually a really accurate (and entertaining!) introduction to set theory
英文原摘要（HackerTube / Claude 整理）
Vsauce's roughly 24 minute explainer on the Banach-Tarski paradox, building from infinity and set theory to the decomposition of a sphere into pieces that form two spheres.
Recommended as an accurate, entertaining on-ramp to set theory and infinity, worth pausing and rewatching.
HN 上的提及
which is flashed briefly in the video here[0] but sadly not discussed at length.
(mindblown)
it's so counterintuitive that it can seem like evidence that something in the logic of infinities must be wrong.
Have a look at how vsauce explains Banach-Tarsky [1]
This vsauce video is actually a really accurate (and entertaining!) introduction to set theory