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thinking-about-science.com | ||
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www.oranlooney.com
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| | | | | One thing you may have noticed about the trigonometric functions sine and cosine is that they seem to have no agreed upon definition. Or rather, different authors choose different definitions as the starting point, mainly based on convenience. This isn't problematic or even particularly unusual in mathematics - as long as we can derive any of the other forms from any starting point, it makes little theoretical difference which we start from since they're all equivalent anyway. | |
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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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jiggerwit.wordpress.com
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| | | | | The Formal Abstracts (FABSTRACTS) project will establish a formal abstract service that will express the results of mathematical publications in a computer-readable form that captures the semantic content of publications. Specifically, the service will give a statement of the main theorem of each published mathematical paper in a language that is both human and machine... | |
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publichealth.jhu.edu
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| | | The MBE combines approaches from science, technology, humanities, arts, public health, and medicine to prepare students to address the bioethics challenges of professional and civic life. | ||
