Uncommon Conditional Logic Inferences
Posted: Sun Nov 03, 2013 6:15 pm
I apologize if this is a subject already being discussed in another post. I have stumbled upon these very uncommon practices on some of the PT's (mostly on flaw questions) and was wondering if someone can finally clear this up for me!
I consider myself pretty well-versed with conditional statements. So, the usual inferences are more than clear. However, I will illustrate my question below using this simple logic statement: A --> B
I would greatly appreciate it if other members can make comments on the below items:
1) Am I correctly inferring that we cannot know what else is a necessary condition of "A". Additionally, I cannot correctly infer what else is not necessary, correct? There could be an unlimited number of unstated necessary conditions; is this correct?
2) Am I correctly inferring that we cannot know what else is a necessary condition of "B". I remember one credited answer choice of a flaw question (which, based on the above conditional statement, concluded that "C is not required for A to occur") stated "we cannot assume that "C" is not required for "B". ("C" was a completely new item to the argument and was only mentioned in the conclusion).
3) Can I correctly infer that "B" may be required for other conditions? In essence, that "B" may have an unlimited number of unstated sufficient conditions? So, if an argument states that "B" is only required for "A", would be a logical fallacy, correct?
4) For the sake of this particular question, please disregard the original conditional statement in bold. If an argument ever states "B is not required for A to occur", am I correctly inferring that this does NOT denote any conditional logic? If an argument talks about something not being required, we cannot correctly infer anything, correct?
Thanks ahead of time for any feedback! Your help is much appreciated. Also, if any posters have any additional unusual conditional logic insight and/or inferences, please teach me!
I consider myself pretty well-versed with conditional statements. So, the usual inferences are more than clear. However, I will illustrate my question below using this simple logic statement: A --> B
I would greatly appreciate it if other members can make comments on the below items:
1) Am I correctly inferring that we cannot know what else is a necessary condition of "A". Additionally, I cannot correctly infer what else is not necessary, correct? There could be an unlimited number of unstated necessary conditions; is this correct?
2) Am I correctly inferring that we cannot know what else is a necessary condition of "B". I remember one credited answer choice of a flaw question (which, based on the above conditional statement, concluded that "C is not required for A to occur") stated "we cannot assume that "C" is not required for "B". ("C" was a completely new item to the argument and was only mentioned in the conclusion).
3) Can I correctly infer that "B" may be required for other conditions? In essence, that "B" may have an unlimited number of unstated sufficient conditions? So, if an argument states that "B" is only required for "A", would be a logical fallacy, correct?
4) For the sake of this particular question, please disregard the original conditional statement in bold. If an argument ever states "B is not required for A to occur", am I correctly inferring that this does NOT denote any conditional logic? If an argument talks about something not being required, we cannot correctly infer anything, correct?
Thanks ahead of time for any feedback! Your help is much appreciated. Also, if any posters have any additional unusual conditional logic insight and/or inferences, please teach me!