It can't work with anonymous users, it would be useless.
Imagine this case. You ask people to vote for opening a new dog park in your town. To do this, you ask them to anonymously post a piece of paper into a post-box. Great.
But, you have no identification on the paper, so you have no way of knowing if each "vote" is by honest people who vote once, or someone like me who really likes puppies and parks and has posted 2,000 bits of paper. If you can't count "one person, one like/vote", your poll is utterly useless.
So. The "like" function works by recording the unique id of a user. They can click it as many times as they want, but it's only one "like" per person. With "anonymous", there's either no likes, or one, because you have no idea if it's one person or many.
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