I'm finding this incredibly hard to parse, yet feel like the point should be quite simple, and the paper seems to get harder from there.
> if every given proposition bears it to every proposition bearing it to the given proposition, then every given proposition is borne it by every proposition the given proposition bears it to.
I don't want to knock someone's efforts at this, but perhaps this is only a "plain english explanation" to someone who already understands the topic at hand?
In all, it reminds me of "the missile knows where it is": https://www.youtube.com/watch?v=bZe5J8SVCYQ