The Argumentum Ad Ignorantiam is where one assumes a thing is true if it cannot be proven to be false or that a thing is false if it cannot proven to be true. In both directions a fallacy has occurred because in the absence of evidence no conclusion can be drawn.
If these arguments were logical and compelling cases for beliefs then any fantasy story could be declared true and be valid simply because it could not be proven wrong. Let your imagination wander and you can see the silliness this type of thinking could produce.
Argumentum Ad Ignorantiam Example
Argumentum Ad Ignorantiam Example 1
Fallacy: God doesn’t exist because there is no evidence for it.
Actuallity: God may exist and merely not having evidence for it does not mean it does not exist, although there is also no reason to believe a thing in the absence of evidence.
Argumentum Ad Ignorantiam Example 2
Fallacy: God exists and you have to prove that god doesn’t exist.
Actuality: One does not have to prove a belief with no evidence to be wrong, in the absence of evidence there is no reason to believe a thing.
Negative Proof Fallacy Logic Structure
A is true and it is true till proven false
A is false and it is false till proven true