"em·pir·i·cal
adjective
based on, concerned with, or verifiable by observation or experience rather than theory or pure logic"
To put it more assertively, the way I see the whole Flat Earth theory is irrational. Aside from where the ideas come from, I understand that Flat Earthers reject the traditional theory of a spherical Earth because there is a lack of "empirical" evidence. And the "burden of proof" is on everyone else because the horizon looks flat to the casual observer. Based on the arguments that I have been reading, the Flat Earthers defend their theories by demanding "empirical" evidence, and when photographs, mathematical formulas, etc. are presented then they are automatically wrong because of a conspiracy.
The way I see it, if empirical evidence is the only relevant evidence (the basis for throwing out the long held view of a Spherical Earth in the first place), then Flat Earthers have to use empirical evidence to back up their own claims, rather than theories, historical documents/experiments, etc. (see above definition).
And I apologize to GlaringEye, I mistook the first response as sarcasm.