> Now try to pour me a glass containing exactly 1/7 gallons of milk without making an approximation. This is an exceptionally silly argument. Now, I happen to

> Now try to pour me a glass containing exactly 1/7 gallons of milk without making an approximation. This is an exceptionally silly argument. Now, I happen to live somewhere where the metric system in use, so allow me to translate your challenge. So you're saying that it's harder to pour 540.773 ml of milk (ie, 1/7th of a gallon) than 757.082 ml of milk (ie, 1/5th of a gallon)? (Notice how both of those are numerical approximations? How strange...) There's nothing harder or easier about pouring 757.082 ml compared to 540.773 ml, nor do we have some magical pouring tools which allow one number to be poured with greater or lesser accuracy than the other. Nor does it suddenly become possible to pour it with more accuracy if you use a measuring cup with ounces on it. :) You seem to be under the hilarious misapprehension that it's somehow easier to pour something if you happen to be measuring it in units that happen to have a non-repeating decimal representation in whatever base you happen to be working in. That's not really how reality works. (And I'm not even going to start on what "exact" means when dealing with a non-molecularly homogenous fluid.) Real world examples are not going to help your argument here, because the real world can only be interacted with via approximations. 1/7th of a gallon of milk is every bit as much of an approximation as 25 gallons.