@joefromchicago,
Joe, according to your post, a relativist would say: "Person 1 is right insofar as he is being consistent in his moral beliefs, and Person 2 is right insofar as he is being consistent in his moral beliefs." (btw, how do quote other people so that it draws those boxes around the quote?)
I think the relativist is saying much more than this. Almost everyone, including I, would conclude that both Person 1 and Person 2 is being logically consistent if say they had the following beliefs:
Person 1:
Feeding a person is always good
A child is a person
therefore
Feeding a child is always good
Person 2:
Torturing and murdering a person is always good
A child is a person
therefore
Torturing and murdering a child is always good
Now everyone agrees that Person 1 and Person 2 are being logically consistent with their beliefs. The two logic chains follow the rules of logic to the letter.
But a relativist says more than that they being logically consistent. The relativist is saying that their logic is sound and valid - that the two are justified in their beliefs. In other words, the relativist believes that (1) everyone's logic is correct and that (2) the assumptions in their logic are correct.
I do understand your point though Joe. I acknowledge that there is another type of relativism, which I like to call "qualified relativism". So let me distinguish the two.
The first type is the one I just went over, which like to call "pure relativism". Pure relativism is when Person 1 is actually right and Person 2 is actually right.
Qualified relativism is when x is true for Person 1 and x is not true for Person 2. By qualifying with the phrase "for Person 1," the qualified relativist superficially escapes the contradiction.
The qualified relativist believes that everyone's logic is consistent. But then, unlike the pure relativist, says that the assumptions in the logic are neither true nor false. At least - that's what most relativists have argued with me. So the real difference is that for the pure relativist, the assumptions are all true. But for the qualified relativist, the assumptions are neither true nor false.
Qualified Relativism:
Couple problems for the qualified relativist. It is a rule of logic that the premises have some sort of truth value. If not, then you can't draw a conclusion - especially not "True". So the relativist can't say that every person has a correct conclusion.
Moreover, if a thing can be neither true nor not true, then a set of things could be neither true nor not true. Thus, as a principle, a set x could exist where, x = {not{y, not y}}.
So then, I could have sets:
A = {not{B, not B}}
B = {not{C, not C}}
Thus, if x = {not{y, not y}} = true then:
A = {not{{not{C, not C}}, not {not{C, not C}}}} = true
Thus in possible set A, C is neither {neither true nor false} nor {not neither true nor false}. This is clearly absurd and impossible to comprehend - but a conclusion that a relativist would have to accept. Things existing outside of the categories true and false, and neither true nor false, not neither true nor false - I can't imagine things in that category. Further, this deduction can be carried out infinitely. Thus there will be things that exist further outside these "neithers".
Finally, a relativist accepts even the illogical beliefs as true for a given Person.
So if Person C believes:
All innocent children must live.
Fred is an innocent child.
Therefore
Fred must not live.
Person C's beliefs are true for Person C - even though Person C has clearly committed a logical fallacy.
Now addressing the situational ethics. Joe, you asked how a given outcome is not relative to each situation.
This is kind of a play on words. Yes, you used the words "relative to each situation". But even though you used the word "relative," it doesn't mean you're talking about relativism. In other words, a situational ethicist believes that the answer is relative to each situation. That doesn't make him a relativist.
Moreover, even though the gravity between objects is different in each situation - in one sense. In another sense, it is always the same. Universally, it is always F=Gm1m2/r2. The same is true in ethics. There are mathematical formulas that can describe the universal principles behind every moral situation. I just don't know what those formulas are. But those formulas are out there somewhere in the universe and they are applicable universally. So in this sense, the ethics are not relative to each situation. They are universal. It's kind of like derivatives in Calculus. Though the curve shows a kind of variability. If you find the derivative, you see the universal application. With enough derivatives you get a singular answer and that answer applies universally to every situation.