This is a misunderstanding of p-values and statistics more broadly. In fact, a p value of 0 is often a cause for great alarm, as it is extremely difficult to come across one unless your data has been faked or you've used the wrong test https://twitter.com/Hangry_Chief/status/1041948046836293633 …
An alpha of 0 is similarly problematic. Probabilities of 0 are very rare in scientific research. That being said, you can demonstrate strong causal associations that prove a point with p values above 0
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Absolute truth is for philosophers. We live in a world of grey areas, which is why expertise is so valuable
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