Zeno's Paradox.
I think Anton ran this by me once.
"If you want to get to another point, technically it's impossible since you need to go half that distance first then half of the remaining distance and this continues an infinite amount of times." Or words to that effect. It's actually called Zeno's Paradox.
Of course, it's not true. You can easily get to point B from A assuming it isn't too far and there's nothing in the way. So the argument is flawed. But is it flawed logically or mathematically? Logically it's sound. But mathematically...
What we have is half of the distance plus half of that half etc. Or 1/2 + 1/4 + 1/8 +1/16 + 1/32 ... written as a sequnce
Now, this a very simple sequence that I saw when first learning about them. What is the answer to this particular one? It's 1. By adding up all the infinite halves of previous halves, you get a whole. So, you will get to point B despite this silly thought experiment.
"If you want to get to another point, technically it's impossible since you need to go half that distance first then half of the remaining distance and this continues an infinite amount of times." Or words to that effect. It's actually called Zeno's Paradox.
Of course, it's not true. You can easily get to point B from A assuming it isn't too far and there's nothing in the way. So the argument is flawed. But is it flawed logically or mathematically? Logically it's sound. But mathematically...
What we have is half of the distance plus half of that half etc. Or 1/2 + 1/4 + 1/8 +1/16 + 1/32 ... written as a sequnce
Now, this a very simple sequence that I saw when first learning about them. What is the answer to this particular one? It's 1. By adding up all the infinite halves of previous halves, you get a whole. So, you will get to point B despite this silly thought experiment.