In analogy thinking, the analogy conditions between logic variable A and B are complicated, and then do you know any condition ahout these?
Basically, you are arguing that if A has properties P1, ... , Pn and property Pn+1 then, if B has properties P1, ... , Pn , B will probably also have Pn+1 . The larger that n is, the stronger the argument is supposed to be. However, the properties must be precise and quantifiable, not vague or figurative. As you say, it's complicated: https://plato.stanford.edu/entries/reasoning-analogy/
to Karl Pfeifer,
Thanks for your comments.
For this problem I have obtained a rather stronger result that 1) the Cause-effect graph must be equation in topology, and 2) the two logic variables is propotional to each other.
RE: "I have obtained a rather stronger result that 1) the Cause-effect graph must be equation in topology...."
If the analogical argument is a mathematical one, there won't be a cause-effect relationship.
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