Statistical analysis is a common tool for explanation in the physical sciences.
Conclusion
Human mental events cannot be explained by the physical sciences.
Evidence
Human mental events never precisely recur, so they cannot be explained by statistical analysis, and statistical analysis is a common tool for being explained by the physical sciences.
Evaluate
Our objection to the conclusion would be something like,
If we were nudging this towards a Famous Flaw, since that's a common tendency on Parallel Flaw, this has somewhat the feel of Part vs. Whole.
Statistical analysis is Part of physical science. Statistical analysis can't explain human mental events. So, physical science can't explain human mental events.
However it's more like .
Goal
Look for a conclusion that sounds definitively pessimistic "X cannot be done by Y", based on the fact that some common part of Y is unable to do X.