{"resolved":true,"match_type":"uuid","source_type":"original_book","book_id":"72c4da97-7cf2-441a-a985-c1252297d6a3","title":"人工智能的进化 计算机思维离人类心智还有多远","author":null,"edition":null,"publisher":null,"year":null,"isbn":"9787508685670","requested_by":"printed_page","book":{"source_type":"original_book","book_id":"72c4da97-7cf2-441a-a985-c1252297d6a3","id":"72c4da97-7cf2-441a-a985-c1252297d6a3","uuid":"72c4da97-7cf2-441a-a985-c1252297d6a3","title":"人工智能的进化 计算机思维离人类心智还有多远","normalized_title":"人工智能的进化计算机思维离人类心智还有多远","author":null,"edition":null,"publisher":null,"year":null,"isbn":"9787508685670","isbns":["9787508685670"],"parsed":true,"ai_readable":true,"document_type":"book","page_count":216,"navigation_url":"https://workshop.closeclaw.top/ai/book/72c4da97-7cf2-441a-a985-c1252297d6a3","title_url":"https://workshop.closeclaw.top/ai/title/%E4%BA%BA%E5%B7%A5%E6%99%BA%E8%83%BD%E7%9A%84%E8%BF%9B%E5%8C%96%20%E8%AE%A1%E7%AE%97%E6%9C%BA%E6%80%9D%E7%BB%B4%E7%A6%BB%E4%BA%BA%E7%B1%BB%E5%BF%83%E6%99%BA%E8%BF%98%E6%9C%89%E5%A4%9A%E8%BF%9C","fixed_page_url_template":"https://workshop.closeclaw.top/ai/book/72c4da97-7cf2-441a-a985-c1252297d6a3/page/{printed_page}","path_api_url_template":"https://workshop.closeclaw.top/api/ai/book/72c4da97-7cf2-441a-a985-c1252297d6a3/page/{printed_page}","read_url":"https://workshop.closeclaw.top/api/ai/read/72c4da97-7cf2-441a-a985-c1252297d6a3","page_url":"https://workshop.closeclaw.top/api/ai/books/72c4da97-7cf2-441a-a985-c1252297d6a3/page","search_url":"https://workshop.closeclaw.top/api/ai/books/72c4da97-7cf2-441a-a985-c1252297d6a3/search"},"page":{"printed_page":140,"pdf_page":151,"physical_index":151,"physical_index_base":0,"printed_page_status":"recognized","page_sha256":"f1102957c585c8d0cb1ff4169213c37899f8cb02fd3f5f66def55d458d623906"},"chapter":"第9章","content":"下面是莱布尼茨关于算术的观点。我们想通过数字计算得出某块土地的面积，以便给出合适的价格。但数字只是一个抽象的概念，并不是实体的存在，没有质量，也没有体积。那我们如何将数字与计算联系起来呢？自然是通过符号。\n\n莱布尼茨发现，我们每写下一个有效数字，头脑中必定是早已有了确定的系统，即特殊的十进制(基数为10）计数法。每个数字都可以用十进制计数法表示出来，当然，也可以用其他方式表示一个数字。[莱布尼茨被认为是如今广泛应用于数字计算机中的二进制(基数为2）的创始人。]最重要的是，莱布尼茨坚持认为纯粹的抽象数字(如数字“14”）与我们实际写下的具体的符号表达式（如十进制数字“14”、二进制数字“1110”、罗马数字“XIV”)之间是有差别的。\n\n他发现，人们在计算矩形面积的过程中使用的是符号表达式，而不是单纯的数字。正如第8章所解释的符号处理过程那样，我们将表达式分别进行化简和重组，最终产生新的符号表达式。如果计算无误，不管我们求的是土地面积，还是汤米和苏济的年龄，最终结果都可以用新的表达式代表。\n\n人工智能的进化\n\n140","previous_page":null,"next_page":141}