Is anyone else bothered by idioms like "twice as close" or "twice as small"? I understand what these phrases mean and how they're used to indicate the inverses of "twice as far" and "twice as big", but they still bother me. If (A) is two miles away and (B) is one mile away, (A) is twice as far away as (B), but (B) is 50% closer than (A), not "twice as close".
If distance in miles is the metric for "closeness", how can "twice" and "50%" mean the same thing?
If distance in miles is the metric for "closeness", how can "twice" and "50%" mean the same thing?
The more you suffer before the test, the less you will do so in the test! 
