If you have a main point on a technical matter, don't muddle it with social, political, aesthetic, or other unrelated asides.
Let's say I agree with these two propositions:
- P1: Gravity exists, and it creates a force that varies in the direct proportion to the product of the masses of the objects involved and in inverse proportion to the square of the distance between them.
- P2: Eating raw DiGiorno pizza is disgusting.
My agreeing with P1 and P2, however, doesn't mean that (in increasing order of irritation):
- E1: It's fine to intersperse comments about how disgusting raw DiGiorno pizza is at random points in a talk on gravity.
- E2: Anyone who agrees with P1 must agree with P2.
- E3: Anyone who agrees with P1 must agree that P1 implies P2.
- E4: Anyone who agrees with P1 must agree that P1 implies the government must do something (that is, force must be used) to stop people from eating raw diGiorno pizza.