> We can evaluate if it is true that smoking increases lung cancer, or that aspirin increases autism.
We can use real-world data to see if there are correlations. We can sometimes run controlled studies to get a better understanding of causal mechanisms. But we can't prove by logical argument based on "fundamental axioms of reasoning" that these things are "true".
I see. I agree that there are major limitations to purely logical arguments.
This is why unlike the rationists of the 17th century, modern "rationalists" predominately focus on empiricism (ironic i know). They are practically obsessed with Bayesian reasoning and probability of truth. This has the knock on effect of interest in prediction markets.
Is your impression otherwise?