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QUESTION

# I understand what its asking me to do.

I need help symbolizing these statements. I understand what its asking me to do. I just need help translating them into a symbolic expression and I get confused on where exactly which quantifier goes where, whether they're apart or together. Like for example:  Someone is having her cake and eating it too. (Hxy: x is having y; Px: x is a person; Cx: x is a cake; Exy: x is eating y) can be translated as ($x)($y)[(Px • Cy) • (Hxy • Exy)] where \$ is the existential quantifier. Thanks very much again for all the help.

You can fool some of the people all of the time and all of the people some of the time, but you can't fool all of the people all of the time. (Fxyz: x can fool y at z;       Px: x is a person; Tx: x is a time)

1. An Italian's dinner is spicier than a Norwegian's. (Ix: x is an Italian; Dxy: x is a dinner of y; Sxy: x is spicier than y; Nx: x is a Norwegian)
1.  If anything can kill a fast-moving mammal, the cheetah can. (Kxy: x can kill y; Fx: x is fast-moving; Mx: x is a mammal; Cx: x is a cheetah)