You don't need a PhD in math or logic to understand those pages. Just like a nurse does not to be a doctor to read medical charts and a builder does not to be an architect to read architectural documents.
Most of the confusion is simply the notation I expect. Once the notation is explained and understood you will have no problem. I recommend the basic step of finding where in the book the author defines his notation!
Much of the actual content will be set theory. A completely self contained book about set theory is Naive Set Theory by Halmos. No real mathematical understanding required, and the book is super short; I read it in a few hours.
Other than that the only official "logic" symbols seem to be "implies" and "not" (ie negation)
You can start with the traditional logic rules that;
- A implies B and B implies C therefore also A implies C: if elephants are mammals and mammals live on earth therefore elephants live on earth.
- A implies B therefore not B implies not A: if elephants are mammals then something that is not a mammal will not be an elephant.
Note that this last rule is often confused with not A implies not B. That is not true since if it is not an elephant it cannot be verified that it is not a mammal, it might be a tiger!
Basically the author is trying to formally (mathematically express) ideas that permit proofs based on axioms. In the section about cross-conflicts suppose you have a set of all actions one could take, A, and then you have one group of illegal actions, B, and a second group of illegal actions, C, then you have a cross conflict if you can't do a single action without it being in either of the sets B or C. In mathematics your would write the "difference between set A and the union of B and C is the empty set":
A / (B U C) = null
A citizens available actions state you can pay tax at either 10% or 12%.
Rule 1: It is illegal for citizens to pay tax above 11%.
Rule 2: It is illegal for citizens to pay tax between 9.5% and 10.5%
I haven't studied law, so don't actually know the answer to your direct question, but I would expect a half lecture primer on the notation and basic mathematical ideas would suffice.