科学与假设

Science and Hypothesis

H. Poincaré · 初版 1952 年

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  • 如果你读当时的文献,这个问题被认为基本已经理解了。我强烈推荐 Poincare 的《科学与假设》(Science and Hypothesis)(1905)。你会看到很多你可能以为来自狭义相对论甚至广义相对论的概念和方程。

    If you read the literature of the time, the issue was considered as largely understood. I would highly recommended science and hypothesis by Poincare (1905). You'll see a lot of concepts and equations that you might have assumed came from special relativity or even general relativity.

  • ……被视为现代无理数理论的开端,它彻底革新了数学分析,并对近代哲学产生了深远影响。”另一个精彩的讨论见于庞加莱1902年的《科学与假设》(Science and Hypothesis),他在书中坚称,一切数学的决定性特征之一就是论证的自洽性,也就是不包含矛盾(希望所有哲学都能采纳这一观点,而不是……

    …regarded as the beginning of the modern theory of irrational number, which has revolutionized mathematical analysis and had much influence on recent philosophy." Another good discussion is Poincare's "Science and Hypothesis" (1902) in which he asserts that one defining feature of all mathematics is the self-consistency of arguments, which is the freedom from contradiction (a view all philosophy would hopefully adopt, vs.…

  • 我刚好最近在读庞加莱的《科学与假设》(Science and Hypothesis),他提出了一种定义根号二的方法,我觉得非常具有启发性。用不那么精确的大白话说就是:考虑两个集合,其中一个集合包含所有平方小于……

    I happen to be reading Poincare's Science and Hypothesis right now and he introduced a way of defining the square root of two that I found enlightening. In less articulate form: consider two sets, one of which contains all numbers whose square is less than…

  • 《科学与假设》(Science and Hypothesis)以及《时间的度量》(The Measure of Time)的英译本可以在这里阅读:`http://en.wikisource.org/wiki/Science_and_Hypothesis',`http://en.wikisource.org/wiki/The_Measure_of_Time'。在法语中,庞加莱的大部分原著……

    English translations of Science and Hypothesis as well as The Measure of Time can be read here; `http://en.wikisource.org/wiki/Science_and_Hypothesis', `http://en.wikisource.org/wiki/The_Measure_of_Time'. In French, most of Poincare's original…

  • > 这种想法认为……孩子们不知怎么地设法访问到了信息场中的同一份数据。法国科学家庞加莱也有过类似的想法,他在《科学与假设》(Science and Hypothesis)中对此做过阐述,但这其实是个流传了数千年的概念。https://iep.utm.edu/poi-math/

    > the idea that ... the children have somehow managed to access the same data in the informational field somehow. Poincaré, the French scientist had a similar idea which he explained in the "Science and hypothesis", but it's a millennia old concept. https://iep.utm.edu/poi-math/

  • ……暗示着更普适理论的独立准解释。在爱因斯坦之前,庞加莱大概是距离大一统最近的人:> 1902年,亨利·庞加莱出版了一本文集,名为《科学与假设》(Science and Hypothesis),其中包括:关于时空相对性的详尽哲学探讨;异地同时性的约定性;以及关于永远无法观测到对相对性原理违背的猜想……

    …independent quasi-explanations hinting at the more universal theory. Poincare probably came the closest to unifying everything before Einstein: > In 1902, Henri Poincaré published a collection of essays titled Science and Hypothesis, which included: detailed philosophical discussions on the relativity of space and time; the conventionality of distant simultaneity; the conjecture that a violation of the relativity principle can never…

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