Madonna's 'Living for Love' Video Now Online -- Nietzsche Typo & All

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Madonna in the video for "Living for Love."

After debuting exclusively via Snapchat on Thursday, Madonna's "Living for Love" video is now available online.

The Rebel Heart clip -- which features Madonna as a matador wrangling shirtless hunks in bejeweled masks -- is lush, arresting and has a nice throwback vibe to her iconic "Take a Bow" video.

Plus, for those of us not crazy about the idea of bullfighting, there's this Nietzsche quote that ends the video: "Man is the cruelest animal. At tragedies, bullfights and crucifixions, he has felt best on earth and when he invented hell for himself that was his very heaven."

But there's one little problem. The German philosopher's name is misspelled.

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As a lifelong Madonna devotee, it pains me to point this out. But hey, we all have Google -- someone on her team probably should have caught this by now.

Still, incredible video! Watch it below.