I've blocked a few if during discussions, it gets insulting, or circular and there is no, 'agree to disagree', out. I can't imagine why anybody would block me....I'm awesome. 
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Thanks. Twitter will use this to make your timeline better. UndoUndo
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Being a nobody, I don't understand blocking, I follow several people I, usually, strongly disagree with. I think it's important to hear the other side of any argument.
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If you have a large following you have an endless supply of people tweeting ideas you strongly disagree with.
End of conversation
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Mostly it's the worsening of discourse. You can mute someone and pretend they never existed, but that leaves them free to lurk in your tweets and harass your followers and sour the conversation.
Thanks. Twitter will use this to make your timeline better. UndoUndo
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Occasionally people are blocked (by blue checkmarks) for bringing value to the readers by revealing some truth behind any given lie. These are often the people with an agenda and should be exposed.
Thanks. Twitter will use this to make your timeline better. UndoUndo
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