Replication probabilities of P-values are irrelevant

What is it about?

I show that the low replication probability of P-values is shared by other probability statements.

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Why is it important?

If a P-value carried with it a high probability that it would be replicated, then this would be a form of inferential anticipation that would be unfortunate. The fact that a P-value of 0.048 (say) will not be replicated with high probability is not an undesirable property but a desirable one shared with other inferential devices.