The fundamentals of whatever is being discussed.

Example 1: Before one asserts that evolution or abiogenesis violates the 2nd law of thermodynamics, it would be a very good idea to have done some reading on the subject.

Example 2: Before one asserts that faith healering can't possibly have natural explanations, one ought be familiar with cases like Peter Popoff, among others.

Example 3: Before one asserts that the sun doesn't operate on fusion, one ought to have some familiar with the evidence in favor of that conclusion.

The thing is that in MANY areas there ARE recognized experts, but the more gullible people pick and choose experts according to their religious prejudices. These guys are quick to discount any naturalistic explanation and offer up some miraculous explanation as infinitely more plausible.

Not everyone who claims to have "studied" a subject qualifies as an expert. Not everyone who is recognized by the general public is an expert. Not everyone with a PhD is an expert.