> calling something "two times smaller" is equivalent to calling it "half the size" This is the (IMO circular) assertion that is made by fiat. If you believe

> calling something "two times smaller" is equivalent to calling it "half the size" This is the (IMO circular) assertion that is made by fiat. If you believe this, then you believe it. I get the meaning, it just isn't logical to me. To use the 'x' or '*' as multiplication should mean that many repetitions of something, not the reciprocal of that number. Reasonable people disagree.