Under what circumstances would you say "someone was able to refute my arguments"? Evidently when you are convinced by them. So the "fact" that no one can refute your arguments is not something impressive, but merely shows that you are stubborn.
It's because I don't think the arguments made can be refuted, because of the inherent nature of the subject. It's like denying subjective experience although that's all you really have. (from an odd perspective)
I am convinced but I wonder how to properly argument for it, as no one wants to continue to argue. Maybe I want to teach others, but I am not sure if I am lying to myself.
If it's worth saying, but not worth its own post, then it goes here.
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