Some Problems can be Proved Unsolvable
Here are a couple of difficult mathematical problems for you to work on, in your spare time: Find positive integers x,y and z, such that x3+y3=z3. Draw a 2D map which is impossible to color (such that countries which share a border have different colors) with fewer than 5 colors. And here is a difficult problem from biology: Explain how life could have originated and evolved into what we see today, through entirely unintelligent processes. You can spend a lot of time trying different solutions to mathematical problem #1, after a while you might begin to wonder if it can be done, but don’t give up, there are always other integers to try. You can also spend a lot of Read More ›