"Clara Oswin Oswald" is an anagram for "A Window Across All". That is an indisputable fact.
The Claras have personal information that is parallel to real-world info about Doctor Who (see them here), both the classic series and the reboot.
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There is the idea that Clara is a living meme. Let me explain. The original definition of a meme is:
Meme (n) \ˈmēm\: An element of a culture or behavior that may be passed from one individual to another by nongenetic means, esp. imitation
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