哥德尔不完备定理
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英国路边立了一块全世界最奇怪路牌,会让过路人陷入无解悖论...
3 6 Ke· 2025-08-26 00:21
2006年,有人在网上分享了一个位于英国多塞特郡多切斯特郊外, B3159 公路旁非常让人困惑的路牌,该标志为红色背景的矩形,上面写着:"标志未使 用"。 随后,越来越多的人发现这个路牌在英国随处可见,甚至还在网上售卖。 (图片来源:indiatimes) 所以,这个路牌到底奇怪在哪? 再读一遍牌子上的字:"标志未使用"。你可能就发现了问题所在: 标示说自己未使用,但实际上却杵在路边兢兢业业履行提示职责——那么,它到底是在使用、还是不在使用中呢?于是,悖论出现了。 该悖论的浅层原因解释如下: 当我们把眼光移向另外一个牌子:"Crossing not in use"(通道未在使用中),我们会觉得非常明了,完全不会引起歧义,因为路牌这个"符号"明确指向了 一个未在这句话里存在过的"通道"。 而"Sign not in use"的问题在于,符号试图对自身状态进行描述,这就违背了符号学要义:符号之所以被需要,恰恰是因为它的解释意义尚未在场,也就是 说,符号是不能描述自己的,否则会引发逻辑困境,专业的说法叫做"自我指涉"。 (图片来源:indiatimes) 一幅表现自我指涉的著名画作《手画手》,埃舍尔作 无论是在哲学 ...
旁听宝马对明略科技CEO吴明辉的采访:毕达哥拉斯、哥德尔、达尔文
Sou Hu Cai Jing· 2025-08-05 05:32
Core Insights - The core perspective of the article revolves around the unique decision-making philosophy of Wu Minghui, founder and CEO of Minglue Technology, which is deeply rooted in mathematics and structured thinking [2][3][4]. Group 1: Mathematical Foundation - Wu Minghui's value system is built on a mathematical foundation, emphasizing the importance of abstract systems and the beauty of simplicity in decision-making [3][4]. - His approach to problem-solving is influenced by the Pythagorean belief that "everything is number," which he applies in various aspects of his life and work [4][12]. - Wu's method of using a simple formula, Y = F(X), to explain complex AI concepts demonstrates his ability to distill chaos into clarity [12][13]. Group 2: Systemic Understanding - Wu acknowledges the limitations of closed systems, drawing from Gödel's incompleteness theorem to highlight the necessity of expanding perspectives and embracing diverse viewpoints [6][7]. - He emphasizes the importance of system compatibility and the value of heterogeneous teams in fostering organizational stability [6][9]. - This adaptive mindset allows for a more resilient approach to management, especially in uncertain environments [7][10]. Group 3: Evolutionary Perspective - Wu's third pillar of thought is influenced by Darwin's theory of evolution, focusing on the dynamic relationship between systems and their environments [9][10]. - He believes that organizations must be flexible and responsive to external changes, rather than resisting them [10][18]. - His strategic decisions during the pandemic, such as pivoting towards self-developed AI models, exemplify this adaptive approach [10][18]. Group 4: Personal Philosophy - Wu's mission is to "transmit the beauty of mathematics," reflecting a deep personal commitment to his mathematical beliefs throughout his career [13][14]. - He embodies a "structural rationalist" mindset, continuously exploring the essence of problems rather than relying solely on conventional leadership or strategic labels [14][15]. - His belief in the interconnectedness of all things through mathematics shapes his approach to both life and business [15][16].