b91302310 Wrote:I can explain my question in this example:
Premise :
If some one works hard, some one will be promoted. (WH-->P)
So, given the situation that some one works hard but argues with his/er supervisor (this is an additional condition), can we also assure that some one will be promoted based on the premise (WH-->P) ? Does the additional condition (arguing with a superviser) affect the relationship between WH and P ? Or, should we consider working hard together with arguing with a supervisor as a whole new condition so that we could not know whether someone will be promoted ?
From the conditional statement you presented above, we only know two things that must be true:
1) If one works hard, then one will always be promoted.
WH --> P.
2) Also, I can conclude that If I am not promoted, then I did not work hard.
~ P ---> ~ WH.
The additional issue you mentioned (i.e. arguing w/ one's supervisor) would not stop me from getting promoted if I work hard.
In other words, when the sufficient condition has been met, the necessary condition MUST occur. In this context, If I work hard (but I smell like a foot), I will be promoted (regardless of my nasty stench).
Now, consider this statement: "If one is not promoted, then one has argued with one's supervisor".
Let's combine these statements.
~ P --> ~WH.
~ P --> AS.
~AS --> P
In other words, If one is not promoted, one does not work hard AND one has argued with one's supervisor.
However, If one does work hard, OR if one has NOT argued with one's supervisor, then one will be promoted.
In this context, we have two sufficient conditions that will result in promotion: that is, working hard and eschewing arguments with the boss...
If either one is met, the promotion will occur.
Make sense?