0 votes 0 votes Are the following statements same? 1. Everybody loves exactly one person. 2.There is exactly one person whom everybody loves Mathematical Logic mathematical-logic first-order-logic propositional-logic discrete-mathematics + – rahul sharma 5 asked Jun 9, 2017 rahul sharma 5 771 views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Jason GATE commented Jun 9, 2017 reply Follow Share Both are Different. Here is My logic. For the First Statement : 1. Everybody loves exactly one person. Like Your parents love you. Ram's Parents love him. In both the cases exactly one person is being loved.There can be many like him. For the second Statement: 2. There is exacty one person whom everybody loves. That is like a student in the school that is loved by all teachers. Means everyone loves that guy but that is exactly one. There can be only one like him, that is him only. Hope I am Clear !!!! 0 votes 0 votes vineet.ildm commented Jun 10, 2017 reply Follow Share plz check whether the above statements are correcly represented or not. a.) everybody loves exactly one person $\forall x\exists y[loves(x,y)\wedge \forall z((y\neq z)\rightarrow \sim loves(x,z))]$ b.) there is exactly one person whom everybody loves $\exists x\forall yloves(y,x)$ 0 votes 0 votes Please log in or register to add a comment.