On a meta note, you're right to note that unclear terms undermine our collective reasoning, despite a proper chain of propositions.

I've found Term Logic[1] to be useful for figuring out why certain discussions confuse me. I've also used to avoid unnecessary arguments by seeing if the participants are starting with clear concepts (signaled by terms).

[1] https://en.wikipedia.org/wiki/Term_logic#Basics also this explainer https://adoroergosum.blogspot.com/2015/05/the-three-acts-of-...