{"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":278,"pdf_page":282,"physical_index":282,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"f661f634ecfd687c8dac57462049236d5ba46707e69f559f56eb9c3c8bc8e29d"},"chapter":"形而上学","content":"1083 b 这也是明显的，这观念的第三翻版最为拙劣—这就是意式之数与数学之数为相同之說。这一說合有兩个錯誤。(一)数学之数不能是这一类的数，只有持此主張的人杜撰了某些特殊的綫5索才能紡織起来。(二)主張意式数的人們所面对着的一切后果他也得接受。\n\n毕达哥拉斯学派的数論，較之上遮各家較少迷惑，但他們也頗  \n10自立異。他們不把数当作独立自在的事物，自然解除了許多疑难的后果：但他們又以实体为列数所成而且实体便是列数，这却是不可能的。这样来說明不可区分的空間量度是不真确的；这类量度无論怎么多怎么少，諸1是沒有量度的；一个量度怎能由不可区分  \n15物来組成？算术之数終当由抽象諸1来組成。但，这些思想家把数合同于实物；至少他們是把实物当作列数所粗成，于是就把数学命题按上去。\n\n于是，数若为一自存的实物，这就必需在前述諸方式中的一式20上存在，如果不能在前述的③任何一式上存在，数就显然不会具有那样的性質，那些性質是主張数为独立事物的人替它按上去的。\n\n又，是否每个單位都得之于“平衡了的大与小”抑或一个由25“小”来另一个由“大”来？（甲)若为后一式，每一事物不尽备所有的要素，其中各單位也不会沒有差異；因为其中有一为大，另一\n\nM8\n\n1088b\n\n①参看 1080b 37—1083a 17\n\n②指齐諾克拉底之說，参看1080b22\n\n③见于 i080a 15-b 36。\n\n278","previous_page":277,"next_page":279}