Bullshit. Only innumeracy allows those ridiculous numbers to persist.
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Plausibility can be abused in that way, but it's not "just a product of personal opinion." I'll give you an example: Homeopathy. Is it just a "product of personal opinion" to say that homeopathy's precepts violate several laws of physics and chemistry, making it impossible? No!
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Well breaking natural laws is a give-away. Homeopathy isn't a crock because of my strong feelings of it's implausibility, but because it contradicts natural laws, and has been shown to be a crock experimentally in published papers
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Critical appraisal of a paper doesn’t rely on publishing a contradictory one, it’s a method of analyzing the method of a published work and finding faults.
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Critical appraisal doesn't provide a replacement, however
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