Let's imagine that I began to doubt the validity of one of my arguments, which leads me to question my ability to make rational arguments. And so begin to distrust my intuitive ideas about logic, then I might ask myself
Is my own logic valid?
If I think it is, I use the object which is in doubt to reach my conclusion. A circular argument. ( If I refer to the logic in an argument I have made, rather than my capacity for logic in general, then demonstrating it's validity may lead to an infinite regress problem )
If I think it isn't, I refute my ability to reason. Undermining the basis of my refutation. A paradox. ( If I refer to the logic in an argument I have made, rather than my capacity for logic in general, it implies that I am capable of making mistakes which casts doubt over the validity of any argument: undermining the certainty of my refutation )
If I think that it neither "is" nor "Is not", this could mean that it is impossible to determine the validity of my own logic. Which would be my conclusion, relying upon my sense of logic. If I consider this argument valid, it undermines its conclusion.
It could mean that it does not conform to logic, and stands outside of reasoning, like emotions which are irrational. This could be likened to intuition. This would imply that absolute validity was non-existent since intuition is based on subjective experience instead of objective reality. This, however, considers itself to be an opinion. And also denies the existence of its subject matter, the validity that was in doubt.
I wasn't sure whether to restrict the question to some sort of argument or to have it refer to my capacity for logic in general. Answers can assume either.
I'm sure that there are many more ways to approach this question. I wondered if anyone had created a formal response to anything similar.
And if not, I thought it might generate some interesting responses!