Conjunction vs Disjunction in Conditional Statements

serouj.sg

I have a question regarding Conjunction and Disjunction when they’re present in the sufficient and/or necessary condition.

I know “and” does not split in the sufficient condition and does split in the necessary condition and vice versa for "or" statements.

Does that mean if a statement says “A and B -> C” that we need both A and B to be present to trigger the necessary condition? Or 1 of them alone would be enough to trigger.

Conversely, if it said “A -> B and C”, does A being present mean both B and C must be present together as a consequence? Or one can be present without the other?

Thank you for taking the time to respond.

ntrepanier5

If I put on shoes AND socks, then I will go to the store.

I need both of those things to be met in order for the sufficient condition to be satisfied. If I forget my socks, I'm not going to the store. If I forget my shoes, I'm also not going to the store (especially bc I don't want to walk on the 100°F pavement!).

If the Uruguayan peso rises in value, then the economy will improve AND exports to Argentina will increase.

The Uruguayan peso rising in value is the sufficient condition, so it guarantees the occurrence of the necessary condition, which consists of the improving economy AND increased exports to Argentina.

Yeah, if A--> B AND C, then the occurrence of A guarantees the occurrence of all constituent parts of the necessary condition.

raihma.ijaz277

What about failing disjunction "or" in necessary? A ---> B or C. Do you need to fail both to fail sufficient? And meeting one, does not mean you meet sufficient?

AveryStorm

In “A and B → C,” both A and B together are required to trigger C; one alone is not sufficient. In “A → B and C,” the presence of A means both B and C must occur as consequences. Conjunctions in sufficient conditions group requirements, while in necessary conditions they apply to each part separately. During busy academic periods, finding time to write essays is challenging. That’s why I looked for a skilled professional essay writer to assist me. The team I found through https://academized.com/professional-essay-writers delivered well-researched, original essays that helped me stay on track without compromising quality, thanks to Academized.