What's the difference between saying that the burden of proof is on one's

What's the difference between saying that the burden of proof is on one's

What's the difference between saying that the burden of proof is on one's opponent, and simply saying that they are likely wrong? The idiom of "burden of proof" is used in a way that suggests that it's somehow different from ordinary, straightforward evaluations of evidence and arguments, but I can't think of what that difference could be.

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