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This is a causal claim but you've only adduced correlations.



You can never prove causality.


All general statements are false.

Joking aside, you can sometimes prove causality. It's just not as easy as proving a correlation. The most broadly accepted method would be a RCT (randomized controlled trial), though it is often unethical or unfeasible.

You can also build on causal assumption that everyone agrees on. (Like: A person's gender cannot be caused by a government policy. A person winning the lottery is not caused by anything other than playing the lottery.) From such knowledge you can build a causal graph, and (in some cases) draw new causal conclusions from statistical data.

Long story short: you cannot just dismiss a correlation as being useless for any proof of causality.




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