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divisbyzero.com | ||
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carcinisation.com
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| | | | | Gödel's theorems say something important about the limits of mathematical proof. Proofs in mathematics are (among other things) arguments. A typical mathematical argument may not be "inside" the universe it's saying something about. The Pythagorean theorem is a statement about the geometry of triangles, but it's hard to make a proof of it using nothing... | |
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www.fas.harvard.edu
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| | | | | [AI summary] The text discusses the Faculty of Arts and Sciences at Harvard University, highlighting its academic departments, research, and notable faculty member Professor Michael Puett. | |
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smolny.org
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| | | | | Andrei Rodin Dr. Sc. in Philosophy (St. Petersburg University); Ph.D. in Philosophy (the Institute of Philosophy of Russian Academy of Sciences) former [...] | |
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www.jeremykun.com
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| | | This post assumes working knowledge of elementary number theory. Luckily for the non-mathematicians, we cover all required knowledge and notation in our number theory primer. So Three Thousand Years of Number Theory Wasn't Pointless It's often tough to come up with concrete applications of pure mathematics. In fact, before computers came along mathematics was used mostly for navigation, astronomy, and war. In the real world it almost always coincided with the physical sciences. | ||