Mark Zuckerberg dreams of a day when Facebook’s computers would know you and your habits so well that it would deliver exactly the information you want to see — what he calls “the best personalized newspaper in the world.”

As the company Mr. Zuckerberg co-founded turns 10 years old on Tuesday, it hasn’t quite achieved that mind meld with its 1.2 billion users. But it’s not for lack of trying.

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