Science and HypothesisH. Poincaré
Science and Hypothesis
by H. Poincaré
11mentions
3recommended by
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2013–2026first – last mentioned
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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.
on “I've said it all before but here we go again” ↗…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.…
on “Does Mathematics Need a Philosophy?” ↗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…
on “How the square root of 2 became a number” ↗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…
on “Did Poincaré anticipate Gödel?” ↗> 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/
on “The Hard Science of Reincarnation” ↗…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…
on “GPT-5.2 derives a new result in theoretical physics” ↗…entities in physic, could be presented in a simplified but equivalent way. So it hints that the "problem" presented in the article is only an artifact. Henry Poincaré wrote exactly this in 1902 in "the science and hypothesis" Nous sommes acculés à la définition suivante, qui n'est qu'un aveu d'impuissance : les masses sont des coefficients qu'il est commode d'introduire dans les calculs.[0] I am also happy for the reference…
on “Physics Has Demoted Mass” ↗…considered another spatial dimension. If you could transport yourself into it, you would see every perspective of a scene at once. But how to project these perspectives on to canvas? Poincaré's suggestion in Science and Hypothesis was to do so one at a time, showing each in succession. Picasso disagreed. He wanted to depict them all at once."_ https://www.theguardian.com/science/blog/2012/jul/17/henri-p...
on “A skeleton made from the bones of at least eight people thousands of years apart” ↗…talking points and agendas. Notably, Henri Poincare (https://en.wikipedia.org/wiki/Henri_Poincar%C3%A9 and https://henripoincarepapers.univ-nantes.fr/en/) wrote three philosophy of science books; viz. 1) Science and Hypothesis 2) The Value of Science and 3) Science and Method. These were published together under the apt title, The Foundations of Science which is available here - https://www.gutenberg.org/files/39713/39713-h/39713-h.htm…
on “Illusions of Understanding in the Sciences” ↗Poincaré in his 1902 book Science and Hypothesis breaks down our sensory experience of reality into visual, tactile (which includes auditory) and motor (muscular) representations of that reality. We use these sensations to construct a map of reality…
on “Mysticism and Empiricism” ↗…translation Popular writings on the philosophy of science: Poincaré, Henri (1902–1908), The Foundations of Science, New York: Science Press; reprinted in 1921; This book includes the English translations of Science and Hypothesis (1902), The Value of Science (1905), Science and Method (1908). Go to the archive.org page and you will have a download.
on “Intuition and Logic in Mathematics (1905)” ↗