AstraSequi comments on How to provide a simple example to the requirement of falsifiability in the scientific method to a novice audience? - Less Wrong Discussion
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This depends on what kind of unfalsifiability you want. There are at least four kinds.
No empirical claim is unfalsifiable in principle (i.e. without resource limitations, moving goalposts, or logical incoherency). Claims that involve violations of physical law come the closest, but require us to assume 100% confidence in the law itself. For a non-empirical claim to be unfalsifiable, empirical consequences of the claim have to be impossible, which ultimately requires you to eliminate them by definition. I think you’re trying to find an example of the fourth meaning when most people who talk about unfalsifiability are thinking about one of the others.