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Brown is Prime Minister” is false: in those worlds, Brown did not succeed Tony Blair, or never went into politics, or never even existed. And in some other worlds, someone else is Prime Minister — David Cameron, P. F. Strawson, me, Madonna, or Daffy Duck. In still others, there is no such office as Prime Minister, or not even a Britain; and so on and so forth. So a given sentence or proposition varies its truth-value from world to world.

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