Misuse of statistics in science often also begins with failing to recognize that hypotheses are infinite. Any application of probability theory begins by excluding almost all. If you don’t understand you are doing that, you will have unjustified confidence in your results.
Not sure I’m following you. Frequentism also involves a finite set of hypotheses and unbounded ceteris paribus assumptions.
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even smaller! Only one hypothesis! the null. We use probability theory to specify the distribution of the test statistic **under the null** (a version of the world that we want to reject)
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you think that there is nothing objectionable here... right? this is why you are a frequentist in this conversation. :)
End of conversation
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