“Some cats and dogs are pedigreed.” [C, D, P] Is (Ǝx) ((Cx v Dx) . Px) a correct translation for the above statement? If not, explain why, and write down what the correct translation should be. 2. a) No Canucks player is good (just kidding J) [C, G] b) Not every Canucks player is good. [C, G]
(Formal logic)
Predicate Translation
- Not everything is without meaning. (Mx: x is meaningful)
- Only (meaning “only if you have a ticket”) those who have tickets will win the lottery. (Px: x is a person; Tx: x has a ticket; Lx: x wins the lottery)
- The only people here are ones who will not get to heaven. (Px: x is a person here; Hx: x will go to heaven.)
- No one who is not appreciated will be happy. (Px: x is a person; Hx: x is happy; Ax: x is appreciated)
Predicate Translation
- “Some cats and dogs are pedigreed.” [C, D, P]
Is (Ǝx) ((Cx v Dx) . Px) a correct translation for the above statement? If not, explain why, and write down what the correct translation should be.
2. a) No Canucks player is good (just kidding J) [C, G]
b) Not every Canucks player is good. [C, G]
3. Can we interpret (a) “Not all women enjoy cooking” (W, E) as saying the same as (b) “some women enjoy cooking”? Yes, or No? Use the symbolic translations (and their equivalent forms) of these two statements to explain your answer.
4. a) It is not the case that some snakes are friendly. [S, F]
b) Some snakes are not friendly. [S, F]
c) It is not the case that all snakes are friendly. [S, F]
Which two are equivalent? (a, b? a, c? or b, c?)
5. The statement (a) “There are people on earth” [E] does not logically imply that (b) there are people in outer space [O] or that (c) there is no people in outer space [O]. (domain: People). Translate the three underlined sentences and explain why the first one (a) DOES NOT imply the second one (b) or the third one (c).
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