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robertlovespi.net
| | www.jeremykun.com
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| | This post is intended for people with a little bit of programming experience and no prior mathematical background. So let's talk about numbers. Numbers are curious things. On one hand, they represent one of the most natural things known to humans, which is quantity. It's so natural to humans that even newborn babies are in tune with the difference between quantities of objects between 1 and 3, in that they notice when quantity changes much more vividly than other features like color or shape.
| | colleenyoung.org
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| | Brilliant Underground Maths resources
| | jiggerwit.wordpress.com
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| | YBC 7289 Introduction (A pdf version of this post appears at the end of this post.) We propose a one-shot calculation of ?2 using Babylonian mathematics. An Old-Babylonian (OB) tablet YBC 7289 (from around 1800 B.C. to 1600 B.C.) contains the approximation B = 1 + 24/60 + 51/602 + 10/603 = 30547/21600 for ?2....
| | dvt.name
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| Gödel's incompleteness theorems have been hailed as "the greatest mathematical discoveries of the 20th century" - indeed, the theorems apply not only to mathematics, but all formal systems and have deep implications for science, logic, computer science, philosophy, and so on. In this post, I'll give a simple but rigorous sketch of Gödel's First Incompleteness ...