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 doge meme: a shiba inu with artistically scattered, multicolored comic sans that has its own bizarre sort of grammaticality. But since it arose on the internet, it managed to get popular without ...