{"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":371,"pdf_page":375,"physical_index":375,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"604601353f4cc472cd9dead3f0c4125f8f91a7e88869b27a207dba7a0266fbc3"},"chapter":"形而上学","content":"少卵石数。勾股平方等于弦平方的所謂“毕氏定理”，正是联系算术与几何的偉大成功。当时以奇偶为限数与无限数的观念也是由卵石演出的：奇数顺次相加輒成正方形；\n\n$$\n\\begin{array} { l l l l } { { 1 + 3 = 4 } } & { { : : } } & { { 1 + 3 + 5 = 9 } } & { { : : : } } \\\\ { { } } & { { } } & { { } } \\end{array} .\n$$\n\n余者类推。偶数顺次相加則为長方而形不定；\n\n$$\n2 + 4 = 6 : : : : 2 + 4 + 6 = 1 2 : : :\n$$\n\n余者类推。又双行列点可由偶数递伸至于无限，奇数則止于末一余点\n\n不复可以递伸。这样“奇偶”、“一多”、“有限无限”三个品种的对成，可相比拟，或竟說可以相通了。\n\n数論派再以儿何图形联系于事物，如謂火的基本型式为四面体，气为八面体，水为二十面体，土为六面体，卽立方，超四大元素“以太” $( \\alpha ; \\theta _ { \\eta \\rho } ^ { \\prime } )$ 为十二面体。这些可算是古代的結晶学，但这是想象的結晶学。数論派把这些神秘的数应用于实物或庶事上，时常有窒碍，也有些怪誕。跟着点綫面体四数以后，他們以5代表質，6代表灵魂，7代表理性……。另一系列事物則以1为腦，2为心，3为臍………。于同数的事物，其間就該有相符的德性。單位之一作为列数的基元，万物由数来組成，列数的基元便轉化为物質的基元。这样的單位之一与列数就不仅是算术数，而实际上已各具有特殊的素質或秉賦。数論的基本疑难是元一有对或无对的問題：若承認一的絕对性就不得以“双”或“多”为之匹配；数論派建立“一多”对成时，无法确实說明由一生多的过程。另一方面，一元論派也无法抹掉宇宙間已有的形形色色。\n\n371","previous_page":370,"next_page":372}