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March 28, 2020 44 mins
主播 小果汁 (https://fom.fm/hosts/ijoy) 帽子君 (https://fom.fm/guest/hat) 天才的世纪是怎么出现的 文艺复兴至少做了一件事情:人性/理性的回归 从文艺复兴开始,人们更多的去尝试新的技术,探索各种新的领域 十七世纪理性主义开始成熟 人们都在追求一种清晰明了的形象,追求一种和谐的结构 古希腊时期数学家大多是哲学家,十七世纪哲学最伟大的代表人物也都是数学家 试图为哲学寻找一种与之相适应的普遍有效的和可靠的认识方法 希望以很少的几个确定的基本概念为依据,创立一种无所不包的庞大哲学体系 数学家是一种职业吗?数学家之间相互合作还是相互竞赛? 17世纪数学的主要进展:解析几何和微积分 笛卡尔 笛卡尔的生平 解析几何的重要性 尺规作图对高次曲线不适用 用转换的思路解决问题(开创了之后几百年到现在的潮流) 我思故我在:确定出发点的可靠性 二元论 与柏拉图的二元论对比 带着上帝思考哲学问题(偶因论) 物质的大脑如何产生意识? 莱布尼兹 牛顿-莱布尼茨公式到底是谁的 超越定义和证明的理解 人们在使用微积分时还不能定义无穷小,微积分严格的定义和证明19世纪中期的才有 单子论的数学意义和心理意义 宇宙是由无数个在不同程度上与灵魂相像的单子组成的,这种单子是终极的、单纯的、不能扩展的精神实体,是万物的基础 莱布尼兹对于微积分的理解和单子论是有关系的,把微分和积分,当成对单子的分离和聚合 人类与其他动物的区别只是程度上的不同,生物与非生命存在物的区别亦如此 引发我们行为的因素通常是潜意识,意味着我们比自己想象的更接近于动物 潜意识是什么时候发现的? 牛顿 开拓了数学和物理学之间的联系 开普勒三大行星定律的严格数学推导 万有引力定律 用计算去理解物理问题,减少人们对魔法或者巫术的依赖,这会影响人们的心理么? 人类认知是螺旋向上的 淘汰一个固有的观念是很难的 链接 联系我们 (mailto:hi@fom.fm) hi@fom.fm 订阅方式 (https://fom.fm/subscribe) Special Guest: 帽子君.
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