Highlights from Billionare Recommendations

Suppose your monthly income is only RMB 2,000, you can live well. I can help you put money into five sets of funds. The first $600, second $400, third $300, fourth $200, fifth $500. [...] Third set of funds: To learn. Monthly spend about RMB 50 to RMB 100 to buy books. Because you don’t have a lot of money, you should pay attention to learning. When you buy the books, read them carefully and learn the lessons and strategies that is being taught in the book. Each book, after reading them, ...

 Proof That the Set of Prime Numbers is Infinite

Theorem: There are infinitely many prime numbers. Proof: Suppose, contrary to the theorem, that there is only a finite number of primes. Thus, there will be a largest which we can call p. Now define a number n as 1 plus the product of all the primes: n = (2 X 3 X 5 X 7 X 11 X...X p) 1 Is n itself prime or composite? If it is prime then our original supposition is false, since n is larger than the supposed largest prime p. So now let’s consider it composite. This means that it must be div...

 The Early Days of the Printing Press was Like the Early WWW

As was the case during the early days of the World Wide Web, however, the quality of the information was highly varied. While the printing press paid almost immediate dividends in the production of higher quality maps,10 the bestseller list soon came to be dominated by heretical religious texts and pseudoscientific ones.11 Errors could now be mass-produced, like in the so-called Wicked Bible, which committed the most unfortunate typo in history to the page: thou shalt commit adultery.12 Meanw...

 Science Works from Approximation to Approximation

I have no patience with attempts to identify science with measurement, which is but one of its tools, or with any definition of the scientist which would exclude a Darwin, a Pasteur or a Kekulé. The scientist is a practical man and his are practical aims. He does not seek the ultimate but the proximate. He does not speak of the last analysis but rather of the next approximation. His are not those beautiful structures so delicately designed that a single flaw may cause the collapse of the who...