Zeno's paradox known as the paradox of Achilles and a turtle goes like this:
Consider a race of fast Achilles and a slow turtle. At the beginning of the race, the turtle is placed ahead of Achilles by 100m. Both of them start to run. Achilles reaches the place where the turtle used to be at the beginning of the race, however, the turtle has already moved a little. Achilles then runs to the place when the turtle was when he was 100m ahead of his start, however, the turtle has moved a bit more. And by the time Achilles reaches the place where the turtle is, the turtle will have moved even farther away. Therefore, Achilles can never overtake the turtle, only the distance between them decreases, but it never reaches zero. Now, obviously, Achilles will eventually overtake the Turtle.It seems like the only sensical solution is that we assume that space and time are made of pixels, that the space is made of small cubes and that no particle can occupy only a part of such a cube, and that time is also not continuous. Then, the distance between Achilles and the turtle can't be between zero and the length of a pixel, but it goes immediately to zero when it comes the time when it should be smaller than a pixel, as it happens in computer games. I have a good reason to think this type of logic is right, it has lead to the correct philosophy of matter, atomism, in the ancient times. And since the time and space are demonstrably made of pixels, it has to be that we are all part of a computer simulation. Outside of our simulation, Achilles perhaps really couldn't overtake the turtle in a race. I know that this, that we are a part of a computer simulation, may be hard to swallow, but logic leads to such a conclusion. There are many scientists, including the nobel laureate Gerard 't Hooft, who realize this.
http://www.springer.com/us/book/9783319412849The guy who probably did the most research on digital physics is a theoretical physicist called Stephen Wolfram.
http://www.nytimes.com/2002/06/09/books/you-know-that-space-time-thing-never-mind.htmlThe inventor of the computer, Konrad Zuse, also suggested this.
https://en.wikipedia.org/wiki/Konrad_Zuse#Calculating_SpaceMost of the proponents of digital physics agree that our world is a type of computer simulation called cellular automaton, though there are some who suggest it's a Turing Machine.
Let's hear your thoughts.