Circle the main connective in each of the following sentences (preferably in col
ID: 3846542 • Letter: C
Question
Circle the main connective in each of the following sentences (preferably in colored non-red ink). (P& Q)& R 2. (A B) (C & D) ~(P Q) ~~P R rightarrow ~P ~~P -Q ~~(~~S) ((A doubleheadarrow B) & D (~A B) & ~ (~P Q) (A doubleheadarrow ~~B) (~~B rightarrow P) (P & ~~R) ((Q & R) rightarrow P) ((P rightarrow Q) rightarrow (~P 0)) & ((- P Q) rightarrow (P rightarrow 0)) ~(~P (P rightarrow Q)) & (P v ~ Q) ((P & (P rightarrow Q)) & (Q rightarrow R)) & (R rightarrow ~P) (P ~P) rightarrow ((~ Q Q) doubleheadarrow ~ ((P & Q) v P & ~Q)))Explanation / Answer
As per Chegg policy, I am answering first 4 questions.
If there is only one logical operator then that operator is main connective whereas if there are more than 2 operators then operators computing at the last is the main connective.
1.) In the given sentence, (P & Q) is computed first then (P & Q) & R. Therefore, '&' operator along with R is the main connective.
2.) In the given sentence, (A v B) is computed first then (C & D) and then '<-->'. Therefore, '<-->' operator is the main connective.
3.) In the given sentence, (P & Q) is computed first then ~(P & Q. Therefore, '~' operator is the main connective.
4.) Since, there are two negation operators, therefore outermost '~', i.e., on the leftest side, is the main connective.
Hope it helps, feel free to comment in case of any query.