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Please answer as many as you could as predicate forms (logic). Problem 2. (20 points) Let Loves(x,y, d) be a predicate that represents the statement
Please answer as many as you could as predicate forms (logic).
Problem 2. (20 points) Let Loves(x,y, d) be a predicate that represents the statement "X loves y on day d." Thus, for example, 3x Vd Loves(x.Juliet, d) means that there is someone who loves Juliet every day. Express each of the following statements as a quantified predicate. a. b. c. d. e. Every day Romeo loves someone. There is a person who, on each day, loves someone other than himself. Everyone loves someone someday. On any day a person who is loved loves everyone that day. lago never loves himself. Now, let Selfless (x), Future (d1, d.) respectively denote the predicates x is selfless, and "on day d1, day d2 lies in the future" (i.e., day d2 comes after day d1). Use these in addition to Loves(x, y, d) to express the following statements. f. g. A selfless person never loves himself. Everyone who someday loves a selfless person who loves everyone everyday loves that selfless person ever after. If someone loves two different people on the same day, then that person is either not selfless or else no one loves him Anyone who is selfless and who loves one person one day, and on a later day loves someone else but not the person he loved the first day is not loved after the later day by the person he loved earlier h. i. No one loves anyone on days when they are not loved by anyone elseStep by Step Solution
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