The Limits of Empathy. Elderly ‘Experts’ Share Life Advice in Cornell Project. 20 Inspirational Quotes To Live By. I love inspirational quotes.
They are powerful nuggets of wisdom condensed into 1-2 lines. Whenever I read them, I am inspired to take action. A mathematical bug shows us why the 3D universe carries the possibility of despair. Really. For N bug-steps, there are two things to consider: how many total possible paths of N steps the bug has available to it, and how many of those N-step paths lead home.
For example, let's look at 1D. After just 2 steps (N=2), where the bug could only go left or right each step, the bug has had 4 possible paths available to it: