The meme known as doge—in which photos of dogs, usually Shiba Inus, are labeled with internal monologues like “wow,” “such [adjective],” and “very [noun]”—has been taking over the Web in recent weeks.

The humble Doge meme, based on pictures of a cute Shiba Inu dog, was all the rage in 2013. The meme’s quirky use of English syntax was such powerful and much creative, and for a year or so, it had ...