Since there is no evidence to prove my position is wrong, my position must be correct," is an error in thinking referred to as

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This statement is making the argument that just because there is a lack of evidence to contradict the position, then the position must be true. This is a fallacy known as Appeal to Ignorance, which assumes that a lack of evidence for something means that it must be true. It is important to remember that lack of evidence does not equal evidence for something.

Since There Is No Evidence to Prove My Position Is