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arXiv 2102.06595math.HOphysics.hist-ph
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伽利略,无知者:科学革命中的数学与哲学

Galileo, Ignoramus: Mathematics versus Philosophy in the Scientific Revolution

Viktor Blåsjö

摘要:

我对伽利略在科学史上的作用提供了一种修正主义的解释。我的主要论点是,伽利略缺乏数学方面的技术能力,这可以被视为直接解释他一生工作的许多方面。我认为,正是因为伽利略数学不好,他才热衷于实验和数学,并急切地采用了望远镜。他依赖这些动手模式的研究不是一个开创性的贡献,科学方法,但最后的手段,一个头脑装备不良作出贡献的数学理由。同样,正是因为他不擅长数学,伽利略才详细阐述了科学方法的基本原理。“那些不能做的人,教。“伽利略所阐述的科学愿景并不像人们通常认为的那样具有独创性。长期以来,数学家们一直认为这是理所当然的,然而,他们并没有停下来在哲学散文中对这些事情进行说教,因为他们忙于进行先进的科学工作。

英文摘要:

I offer a revisionist interpretation of Galileo's role in the history of science. My overarching thesis is that Galileo lacked technical ability in mathematics, and that this can be seen as directly explaining numerous aspects of his life's work. I suggest that it is precisely because he was bad at mathematics that Galileo was keen on experiment and empiricism, and eagerly adopted the telescope. His reliance on these hands-on modes of research was not a pioneering contribution to scientific method, but a last resort of a mind ill equipped to make a contribution on mathematical grounds. Likewise, it is precisely because he was bad at mathematics that Galileo expounded at length about basic principles of scientific method. "Those who can't do, teach." The vision of science articulated by Galileo was less original than is commonly assumed. It had long been taken for granted by mathematicians, who, however, did not stop to pontificate about such things in philosophical prose because they were too busy doing advanced scientific work.

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