Let F(x,y) be the statement "x can fool y", where the domain consists of all people in the world. Use quantifiers to express each of these statements.
a. Nancy can fool exactly two people
my answer is:
b. No one can fool himself or herself
my answer is:
c. There is exactly one person whom everybody can fool
my answer is:
Are my answer's correct?
Okay I have one more question,
Let I(x) be the statement "x has an Internet connection" and C(x, y) be the statement "x and y have chatted over the Internet", where the domain for the variables x and y consists of all students in your class.
a. Someone in your class has an Internet connection but has not chatted with anyone else in your class.
my answer:
b. There are two students in your class who have not chatted with each other over the Internet.
my answer:
c. There is a student in your class who has chatted with everyone on your class over the Internet
my answer:
d. Everyone except one student in your class has an Internet connection
my answer:
a)yeah, it makes sense, the x net equal to is interesting since one might say that that is assumed( people dont usually talk to themselves), but its not wrong
b) why do you use z? if z represents all the students in the class saying z or implies x and y are not in the class
c) youre going overboard with the implications here, what youre saying here is that if there exists a student x that has chatted with all students, than all the students are student x...
d) do you know of the unique existential quantifier, because it would come in handy here, if you dont know it, look for it in your book because it wil be defined usually in terms of the other two quantifers which is essentially what you want to do for this problem