数学之美
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中科院院士呼吁:减少对顶级期刊的盲目崇拜
第一财经· 2025-11-04 09:10
Core Viewpoint - The article emphasizes the need for China’s mathematics discipline to transition from a "follower" to a "frontier" position, requiring adjustments in institutional frameworks and cultural attitudes towards academia [3][4]. Group 1: Current State of Mathematics in China - China's mathematics has made significant progress but remains in a "follower" position, primarily developing in fields pioneered by others rather than creating original contributions [3][5]. - The underlying cultural and institutional factors contribute to this status, necessitating improvements in evaluation systems, academic independence, and emotional investment in scholarship [3][6]. Group 2: The Beauty of Mathematics - The beauty of mathematics is expressed through both external forms and the power of abstract thinking and logical proofs [4][5]. - Many individuals fail to appreciate the beauty of mathematics due to a utilitarian approach to learning, focusing on completing assignments and passing exams rather than enjoying the subject [4][5]. Group 3: Role of Educators - Educators play a crucial role in helping students appreciate the beauty of mathematics by reducing pressure and guiding them towards understanding the structural and logical beauty of the subject [5][6]. - A shift in teaching methods and attitudes can lead to a deeper engagement with mathematics, potentially inspiring long-term commitment to the field [5][6]. Group 4: Academic Independence and Long-term Vision - There is a need to encourage academic independence and intrinsic motivation for knowledge, moving away from blind worship of top journals and external metrics [6]. - The academic environment should allow for failure and long-term exploration, fostering a culture where the pursuit of knowledge is valued over the pursuit of accolades [6]. Group 5: Historical Perspective on Achievements - Young scholars are encouraged to focus on the historical value of their work rather than short-term recognition, as many influential mathematicians did not receive awards during their lifetimes [6]. - The pursuit of knowledge should be seen as a joy in itself, with accolades being a natural byproduct rather than the primary goal [6].
席南华院士:减少对顶级期刊的盲目崇拜
Di Yi Cai Jing· 2025-11-04 06:35
Core Viewpoint - The article discusses the need for China’s mathematics discipline to transition from a "follower" to a leading position in originality, emphasizing the importance of institutional adjustments and cultural changes in academic attitudes [1]. Group 1: Current State of Mathematics in China - China's mathematics has made significant progress but remains largely in a "follower" position, primarily developing in fields pioneered by others rather than creating original contributions [1]. - The underlying cultural and institutional factors contribute to this status, necessitating improvements in evaluation systems, academic independence, and emotional investment in scholarship [1]. Group 2: The Beauty of Mathematics - The beauty of mathematics is categorized into two types: aesthetic beauty in forms and logical beauty in abstract thinking and proofs, exemplified by classic proofs such as the infinitude of primes and the irrationality of the square root of 2 [2]. - The richness of mathematical objects and the depth of thought are highlighted through the work of Riemann on prime distribution, showcasing the profound nature of mathematics [2]. Group 3: Role of Educators and Academic Environment - The role of teachers is crucial in helping students appreciate the beauty of mathematics; reducing utilitarian pressures can enhance students' engagement with the structural and proof-based beauty of mathematics [3]. - Encouraging academic independence and a genuine pursuit of knowledge, rather than blind worship of top journals, is essential for fostering originality in research [3][4]. - A more tolerant academic ecosystem that allows for failure and long-term exploration is necessary, as true originality often faces misunderstanding or challenges in existing review mechanisms [4]. Group 4: Long-term Perspective in Research - A long-term perspective and independent spirit in research are vital, with scholars encouraged to find joy in the pursuit of knowledge rather than in the chase for accolades [4]. - Historical contributions of mathematicians who did not receive awards should remind young scholars to focus on the lasting value of their work rather than short-term recognition [4].
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].