Half of a Bucket of Water: Limit or Infinity?

[cragar]

lets say I have a bucket of water with 5 gallons, could I keep pouring half of the weight out for-ever or would I hit a limit like I couldn't split the water molecule to take out half the weight .

 

[baywax]

lets say I have a bucket of water with 5 gallons, could I keep pouring half of the weight out for-ever or would I hit a limit like I couldn't split the water molecule to take out half the weight .

This question is right along the lines of one of my pet peeves... which is... how do you get from 1 to 2 if there is an infinite number of increments between the two qualifiers?

In your case, mind you, there is a slightly more concrete problem in that there are molecules that will eventually be removed from the 5 gallon bucket.

But, let's say you're walking step by step... the distance between each step is infinite... according to incremental measurements... and the point system... help!?

 

[cragar]

ok it helps thanks , then you probably would hate the question if god flips a light switch an infinite amount of times is the light on or off .

 

[baywax]

In this problem there are two unknowns... god and infinite... can't prove god and can't prove infinite... so any answer will do... like "both".

 

[Math Is Hard]

When you get down to splitting H2O, you're done splitting "water".

ok it helps thanks , then you probably would hate the question if god flips a light switch an infinite amount of times is the light on or off .

If we're talking about an infinite amount of times being done by an entity who has an infinite amount of time, the flipping never stops.

We're done here.