Is there an accurate view on the distinction between "what mathematics can model" and what it cannot?
Not just in hard sciences. What about social, political questions? What's the accuracy of statistical research relative to "without statistics"?
What kinds of aspects are there to be considered:
- bias or unbiasedness of conductors
- collecting enough data
But can one take any kind of stance for example to, whether "statistical truth" is more accurate than "non-statistical truth"? I've once read a view that suggested that "statistical truth" is a particular orientation to truth, it's not necessarily "more accurate" (since e.g. accuracy is relative to the chosen base beliefs, such as whether collective truth may override subjective truth), it's different.
Please link to references, if this is a topic that's broadly covered somewhere already. Likely not conclusively, since the world is ever-changing, but in order to e.g. follow "current view".