Very well, I will attempt to describe the situation.
After suffering a (mental) illness, I ended with fear of certain things. The doctor still consider I have the illness because I have this fear. However I see no sense in that, as the relationship between the illness (P) and the fear (Q) is 1. indirect (that I informally inferred from the word he used, that I will translate as "unchained", or as an "indirect consequence of a series of events") and, as a matter of fact (I didn't ask this, and as it a fact of the world, believe is the case), the illness is not necessary nor sufficient for the existence of the fear.
That is, as I see, the illness led to a state "similar to trauma" (paraphrasing my therapist), and the trauma itself is enough for the endured fear, and I see to logical need for the fear to be a sign of the illness (whose commonly listed symptoms don't include fear, and it may not even be present in some cases of this illness). Yet the specialist considers that the "parcial" part about the remission is the existence of the fear (I actually asked this).
Thus I seek to understand what kind of arguments the empirical sciences may have to stabillish a causation and existence chain in this kind of problem. The best bet I have is to ask and have a conversation, but nothing says I can't try to at least put my perspective in a better way than "it doesn't make sense". It is admitedly confusing, being a case where I have limited information.
See, fdrake, you was kind of right, but in a different way. I don't intend to just dismiss what he says, however.
In the way you put, I think that P is a risk factor to Q
(4b) If P never existed regardless of its causal status and other relationships with Q, then Q could not occur. — fdrake
But that I would say (4c) instead: that even if is not the case that P anymore (one is not anymore a smoker), Q can still be the case (one can have lung cancer).
The actual problem muddies this belief, because even if it seems a sure thing for me, it is not for the doctor. The actual example of lung cancer may not be ideal, as it is something we already have a belief regarding (4c). (Am I incorrect in is this last affirmation?)
So one of the things about logic is it is irrelevant to time. The premises state the facts as they are at a particular moment. If the facts change, then that is a different argument. — Philosophim
There is such a thing as temporal logic, though. Even if in this situation it doesn't apply, it considers time.
Oversimplifying it, I see as P -> R; R -> Q; but I still can't formalize it properly. I could
try, and this is what I have come up with, but it could be wrong:
1. This illness (P) lead to some symptoms S1, S2... Sn.
2. S1 and external factor (E) lead to the initial fear (Qi)
3. Somehow all of this lead to "trauma" (T)
4. And T is a source of enduring fear (Q)
But it is just a guess, and may be more in the way than helping to understand it. I was on the assumption that limiting to the essencial premises would be more helpful. 2 and 3 are an extrapolation of the belief that Q can exist without P (whose symptom S1 doesn't exist anymore). It appears to be circular logic. I could complement it in this way:
1a. It not the case that S1 anymore
1b. It is the case that Q
1c. Thus, there is some factor causing Q that does not need S1 to be true
in this moment. I attempted to write it as 2 and 3. I could also say "S1 ^ E -> T", which is simpler.
Already QED.
((P v ~P) ^ Q) => Q
It seems to me you're not actually looking for a proof in logic, but perhaps a negative proof that Q can exist absent P in fact. If in fact Q does exist absent P, then that's all you need. — tim wood
I'm under the impression that this is not sufficient as an argument for the doctor... It is a fact of the world that fear of "things" can exist without an illness, and that this illness does not always lead to fear. I could present this just to see his response.
-
Thank you misters, for the discussion, and forgive me for my confusion, I'm trying my best to understand this.
Edit: And I must mention. I don't want to burden members with a particular issue. Just to understand in a more abstract and generalist way a given problem.