Feeling shame or embarassment for another person when they don't seem to have the sense to be embarassed by their own actions or words.
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There is a word in German, "FREMDSCHÄMMEN" which means the same thing, however, I noticed a niche that needed to be filled for English speakers.
There are so many eejits on Britain's Got Talent, that I feel myself in a constant state of proxyshame whilst watching.