Sentence:  If it could be <WSD>shown</WSD> that judgments of good and bad were not judgments at all , that they asserted nothing true or false , but merely expressed emotions like `` Hurrah '' or `` Fiddlesticks '' , then these wayward judgments would cease from troubling and weary heads could be at rest . 
Meaning of the word marked with <WSD> tags:  establish the validity of something, as by an example, explanation or experiment