Web Equation. Axioms. Contents Contents | rgb Home | Philosophy Home | Axioms | Other Books by rgb: | The Book of Lilith | Axioms is a work that explores the true nature of human knowledge, in particular the fundamental nature of deductive and inductive reasoning. It begins by embracing Hume's Skepticism and Descartes' one ``certain'' thing, and then looking for a way out of the solipsistic hell this leaves one in in terms of ``certain'' knowledge.
Indeed, to the extent that philosophy in the past has sought to provide certain answers to virtually any question at all, philosophy itself proves to be bullshit - all philosophical arguments ultimately come back to at least one unprovable premise, usually unstated, and can be refuted by simply asserting ``I don't agree with your premises.'' The way out is to give up the idea of certain knowledge. Axioms by Robert G. Dedication No book is written in a vacuum. Notice Copyright Notice Copyright Robert G. Lulu Press www.lulu.com.
5 Statistics Problems That Will Change The Way You See The World. Once the population of an office hits 366 people, it's a certainty that two people in your office have the same birthday, since there are only 365 possible days of birth. Still, assuming that each birth date (except February 29) is equally likely, it turns out that once your office has 57 people in it there is a 99% chance that two of them share a birthday. When there is 23 people, that probability is 50%. Here's why. Instead of calculating the probability that two people share a birthday, instead calculate the converse, probability that two people don't share a birthday. Since these are mutually exclusive scenarios, first probability plus the second probability has to equal 1. Here's how we figure this out, then. Select two people in the office. 365/365 x 364/365 x 363/365 x 362/365 x ... x 343/365 = 0.4927. So, the probability that nobody in an office of 23 people share a birthday is 0.4927, or 49.3%.
Source: Better Explained. Demystifying the Natural Logarithm (ln) After understanding the exponential function, our next target is the natural logarithm. Given how the natural log is described in math books, there’s little “natural” about it: it’s defined as the inverse of e^x, a strange enough exponent already. But there’s a fresh, intuitive explanation: The natural log gives you the time needed to reach a certain level of growth. Suppose you have an investment in gummy bears (who doesn’t?) With an interest rate of 100% per year, growing continuously. If you want 10x growth, assuming continuous compounding, you’d wait only ln(10) or 2.302 years. Don’t see why it only takes a few years to get 10x growth? Don’t see why the pattern is not 1, 2, 4, 8? E and the Natural Log are twins: e^x is the amount of continuous growth after a certain amount of time.Natural Log (ln) is the amount of time needed to reach a certain level of continuous growth Not too bad, right? E is About Growth The number e is about continuous growth.
Intuitively, e^x means: For example: Free Maths/ Video Lecture courses.