Mort-Hog
If moral relativism is wrong, I don't wanna be right.
Posts: 4,192
You'll find various sites explaining this better than I can, but I'll try to paraphrase. (I think it's called 'Zeno's dilemma' or something?)
You have two points:
Ax----------------------------------------------------------B
You're at A, and you're going to travel to B. But before you get to B, you have to get halfway between A and B. (You are x)
A----------------------------x------------------------------B
Okay, you're halfway between A and B, travelling to B. But before you get to B, you have to get halfway between your position and B (three quarters of the way from A to B)
A--------------------------------------------x--------------B
Okay, you're three quarters of the way between A and B, travelling to B. But before you get to B, you have to get halfway between your position and B. (seven eights of the way from A to B)
A----------------------------------------------------x------B
Okay, you're seven eights of the way from A to B, travelling to B. But before you get to B, you have to get halfway between your position and B. (fifteen sixteenths of the way from A to B)
A--------------------------------------------------------x--B
By dividing the distance A to B in half every single time, you are getting infinitesimally close to B, but you will never reach B because you can continue dividing that line into halves.
This is fairly easy to understand. The real philosophy is.. What does this mean?
It fairly obviously doesn't mean that it is impossible to travel from one point to another. So what does it mean? Well, one of the assumptions we made right at the start is that the 'line' between A and B is a continuous line so that in travelling you are constantly dividing the line in half.
If we disregard this assumption, and instead have the line as a series of discrete 'jumps', like:
A o o o o o o o o o o o o o o o o o o o B
Instead of you travelling along a 'line' from A to B, you are instead 'jumping' between the o's. This way, you are not travelling across half of the line because at some point your 'jump' will be larger than that infinitesmally small half and you will arrive at B.
And so you avoid the dilemma.
"The trouble with the world is that the stupid are cocksure and the intelligent are full of doubt. " - Bertrand Russell
The Triumph of Stupidity in Mortals and Others 1931-1935