It seems that arguments provide evidence, and Y is evidence for X if and only if P(X|Y)>P(X|¬Y). That is, when X and Y are positively probabilistically dependent. If I think that they are positively dependent, and you think that they are not, then this won’t convince you of course.
Yeah, aka Socratic dialogue.
Alice: I don’t believe X.
Bob: Don’t you believe Y? And don’t you believe If Y then X?
Alice: Okay I guess I do believe X.
The point is, conditional probability doesn’t capture the effect of arguments.
It seems that arguments provide evidence, and Y is evidence for X if and only if P(X|Y)>P(X|¬Y). That is, when X and Y are positively probabilistically dependent. If I think that they are positively dependent, and you think that they are not, then this won’t convince you of course.