Let F(x,y) be the statement x can fool y, where the domain of discourse for both x and y is all people. (a) Use quantiers to express each of the following propositions in symbols.

(i) Nobody can fool me.

(ii) Anybody can fool Fred

. (iii) Everyone can fool someone

. (b) Now write the negation of those propositions in symbols. The cheap way would be to simply write in front of each of the answers to part

(a). Dont do that. Use the rules discussed in the text so your answer does not have occurring to the left of any quantiers

. (c) Express each of those negations in an English sentence