"Tirer d'eux leurs secrets":莱布尼茨关于手工艺知识和"秘密"几何学的论述
Yoav Beirach1, Michael Friedman2
1Research Group Experience in Pre-Modern Sciences, Max Planck Institute for the History of Science, Boltzmannstraße 18, 14195, Berlin, Germany. ybeirach@mpiwg-berlin.mpg.de.
NTM
|June 6, 2025
概括
哥特弗里德·威廉·莱布尼兹认为工艺知识,特别是来自制表工人和织工人的知识,是机械"秘密"的来源. 他相信这些工匠拥有实用知识,可以丰富数学和几何原理,导致"更深"的几何学.
科学领域:
- 科学的历史科学的历史.
- 数学的哲学数学的哲学
- 技术的历史 技术的历史
背景情况:
- 哥特弗里德·威廉·莱布尼茨的著作揭示了对手工艺知识的复杂观点.
- 他承认工匠的实际创造力,但注意到他们无法正式化基本原则.
- 这凸显了17世纪实践工艺和理论数学理解之间的差距.
研究的目的:
- 分析莱布尼茨关于工艺知识与数学/几何知识之间的关系的观点.
- 探讨莱布尼茨如何看待工匠的"秘密"和发明,例如制表工人和织工人.
- 根据机械艺术的见解,研究莱布尼茨关于扩展几何学的建议.
主要方法:
- 对莱布尼茨哲学和科学著作的文本分析.
- 检查莱布尼茨关于特定工艺机器 (如钟表,织机) 的讨论.
- 对莱布尼茨关于机械发明和几何原理的观点的比较研究.
主要成果:
- 莱布尼茨主张从工匠那里提取"秘密和发明",以推进知识.
- 他观察到,工匠往往缺乏表达他们创作背后的几何原理的能力.
- 莱布尼茨对手工艺机器的研究表明了嵌入其中的"更深层"或"隐藏"几何学的潜力.
结论:
- 莱布尼茨认为,手工艺实践是一种有价值的,尽管非正式的知识来源,可以告知和扩展几何学.
- 对于莱布尼茨来说,机械艺术体现了一种实用几何学,需要更深入的研究和理论阐述.
- 这种观点强调了莱布尼茨的雄心壮志,即弥合经验工艺和抽象数学推理之间的差距.
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