{"resolved":true,"match_type":"uuid","source_type":"original_book","book_id":"88efeb70-2043-4122-a461-fbf8384bb0fc","title":"形而上学","author":null,"edition":null,"publisher":null,"year":null,"isbn":"7100011361","requested_by":"printed_page","book":{"source_type":"original_book","book_id":"88efeb70-2043-4122-a461-fbf8384bb0fc","id":"88efeb70-2043-4122-a461-fbf8384bb0fc","uuid":"88efeb70-2043-4122-a461-fbf8384bb0fc","title":"形而上学","normalized_title":"形而上学","author":null,"edition":null,"publisher":null,"year":null,"isbn":"7100011361","isbns":["7100011361"],"parsed":true,"ai_readable":true,"document_type":"book","page_count":383,"navigation_url":"https://workshop.closeclaw.top/ai/book/88efeb70-2043-4122-a461-fbf8384bb0fc","title_url":"https://workshop.closeclaw.top/ai/title/%E5%BD%A2%E8%80%8C%E4%B8%8A%E5%AD%A6","fixed_page_url_template":"https://workshop.closeclaw.top/ai/book/88efeb70-2043-4122-a461-fbf8384bb0fc/page/{printed_page}","path_api_url_template":"https://workshop.closeclaw.top/api/ai/book/88efeb70-2043-4122-a461-fbf8384bb0fc/page/{printed_page}","read_url":"https://workshop.closeclaw.top/api/ai/read/88efeb70-2043-4122-a461-fbf8384bb0fc","page_url":"https://workshop.closeclaw.top/api/ai/books/88efeb70-2043-4122-a461-fbf8384bb0fc/page","search_url":"https://workshop.closeclaw.top/api/ai/books/88efeb70-2043-4122-a461-fbf8384bb0fc/search"},"page":{"printed_page":298,"pdf_page":302,"physical_index":302,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"3be41544bc4ae0cc970ee733a44820d9040247e68c18640bb11515e1a533c883"},"chapter":"形而上学","content":"疑地，由3制面，由4制体，①—或者他們另用别的数来制作，这25 也幷无分别。然而这些量度將会成为意式么，或其存在的情况又如何，对于事物又有何作用？这些全无作用，正象数学对象之全无作用一样。人們若不想干涉数学对象来創立自己的原則，他就难以从他們的任何定理得其实用，但这拜不难設想一些随意的假定，30由此紡出一長串的結論。\n\n于是，这些思想家②为要將数学对象結合于意式就投入了这样的錯誤。那些最初主于数有意式与数学兩类的人幷沒有說原也是不能說数学之数怎样存在和由什么組成。他們把数学数安置  \n35在意式数与可感覚数之間。(一)假如这由“大与小”組成，这將与意式数相同，（他③由某些品种的大与小制成空間度量。④)·（二）假  \n1a如他举出其它要素，制数的物要素也未免太多了。假如兩类制数的第一原理均为同一事物，那么元一將于这些为共通的形式原理。而我們就得追問怎么“二”可当作許多事物，何以照他所說，5数却不能逕由一制成，而只能由“一”和“未定之兩”衍生。\n\n所有这些都是荒謬的，而且都是互相冲突幷自相矛盾的。我們在这些理論中似乎見到了雪蒙尼得的長篇文章，⑤那是奴隶們在隐瞞真实緣由时，矯揉造作起来的。“大与小”这些要素对于硬10要它們做不克胜任的事情似乎也在抗議；它們实在所能制的数并不異于乘二而又連乘所得的那些数。①\n\nN3\n\n1091 b\n\n1091a\n\n①意大利学派的数学和几何演算都是用卵石来排列着进行的。二粒卵石可定一条綫，三粒可定一个三角形(面)，四粒可定一个錐形四面体(立体)。所以2,3,4实际是决定綫、面、体三者所必需的最少的卵石数。\n\n②从20-32行似均指齐諾克拉底。\n\n③指柏拉图。\n\n④参看1090b21—22。\n\n⑤ucxòsλóγo;或譯長句，雪蒙尼得文中有λéγotärαxol一节，举奴隶答主人實詢例，辞多支离，違避要点；故敷衍而冗長。参看貝尔克(Bergk）親“雪索尼得殘篇”189。\n\n298","previous_page":297,"next_page":299}