The burden of proof always lies with the person asserting a claim. It is not an obligation of anyone else to prove the claim wrong. Want to assert that marshmallows have a brain, then go ahead and prove it because I'm certainly not going to waste my time try to prove they don't.
As you've probably discovered from reading posts here on RF, not everyone has such an ability. Nor should this be expected.
Some people need to believe what they do, and this need can trump everything else, including facts and well reasoned arguments. Then there are situations in which a point of view has never been successfully challenged, and when another of these challenges resurfaces it simply isn't worth revisiting the reasons for its failure. Its quick dismissal is then taken as a unconsidered rejection when it's nothing of the kind. All of which is a matter of miscommunication.
And just what is the basis for insisting one prove a negative: "It's not true that X is Y"?
Yup.
Yup.
Yup.
It's a matter of philosophical principles. From Wikipedia
"The
philosophical burden of proof or
onus (probandi) is the obligation on a party in an
epistemic dispute to provide sufficient warrant for their position.
When debating any issue, there is an implicit burden of proof on the person asserting a claim"
You don't have to accept it; however, please recognize that you have failed to make your case.
Nope.
When I care, I usually point out the fallacies.
Not at all, although if one cared enough they might do just that.
"This has the effect of shifting the burden of proof to the person criticizing the assertion, but is not
valid reasoning."
Source:ibid.
All the atheist need point out is the failure of the theist to make their case. The theist can either accept this or push for explanation, which the atheist is under no obligation to do.
Sorry you don't get it, although I hope my reply here has helped a bit.
And to repeat:
When debating any issue, there is an implicit burden of proof on the person asserting a claim"
There is no burden on anyone rejecting the claim to do anything.