Most sentences can be rearranged to mean the converse. This is cross-linguistically pretty common, depending on which atoms you choose to rearrange. Most sentences can be negated with at most a couple of word changes. This is cross-linguistically about as universal and anything in linguistics is, again depending on which atoms you choose as "words".

English isn't funny, humans are funny, building all sorts of redundancy into their languages, but then reversing polarity on a dime.