0 votes 0 votes Statements :1. Some soldiers are famous. 2. Some soldiers are intelligent. Conclusions:1.Some soldiers are either famous or intelligent. 2.Some soldiers are neither famous nor intelligent. shivanisrivarshini asked Jul 28, 2016 shivanisrivarshini 1.9k points 4.8k views answer comment Share See all 0 reply Please log in or register to add a comment.
0 votes 0 votes both follows srestha answered Jul 28, 2016 srestha 5.2k points comment Share See all 20 Comments See all 20 20 Comments reply Show 15 previous comments vijaycs 1.5k points commented Jul 29, 2016 reply Share see. In first two sentence, the no of soldiers who are famous, are not certain . we can say that - either some are not famous/intelligent or we can say all soldiers are famous/intelligent. but in your 3rd and 4th sentence , All soldiers are famous/intelligent. 0 votes 0 votes srestha 5.2k points commented Jul 30, 2016 reply Share @shivani what is the answer 0 votes 0 votes Arjun 8.6k points commented Jul 30, 2016 reply Share @srestha Always consider a universal set. Some people went to Delhi. So, let the universe be the students in your class. (If the universe is not defined always consider the most general option). So, this means at least one student from class went to delhi. So, this implies: $\exists x, G(x)$ and also $\neg \forall x, \neg G(x)$ (which means it is not the case that no one had gone to Delhi) Now, Everyone went to Delhi. This means every student in class went to Delhi which implies $\neg \exists x, \neg G(x)$. Now, the second case implies first. (This requires that the universe be non-empty, here it means at least one student in class and this assumption is usually used in many first order logic proofs) http://math.stackexchange.com/questions/449418/why-does-the-semantics-of-first-order-logic-require-the-domain-to-be-non-empty 1 votes 1 votes shivanisrivarshini 1.9k points commented Jul 30, 2016 reply Share Same as @vijay said neither 1 nor 2 1 votes 1 votes srestha 5.2k points commented Aug 10, 2016 reply Share ok Some people went to Delhi. then only we ignore the case- no one had gone to Delhi All other cases we have to consider.rt? 0 votes 0 votes Please log in or register to add a comment.