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I suppose that depends on how you convinced them. The difference, typically, is in how your interlocutor perceives the two assertions. Not only is the freezing water assertion testable, it's also a matter in which almost no one has an emotional stake. The difference between water freezing at 32 or 33 isn't going to alienate you from your family or friends. On either side of the political fence, beliefs will. We don't have narratives, or whole cultures, dependent on the freezing point of water. I have a vague sense I haven't really answered your question somehow. If I haven't, let me know. Thanks.