Construct a truthfunctional paraphrase of each of the follwi

Construct a truth-functional paraphrase of each of the follwing arguments and then provide a symbolization key and use it to sympholize your paraphrase of the argument in SL.

B. If Phil likes either Joseph Cotton or Orson Wells he will like The Thrid Man, if he sees it. If he likes either Peter O\'Toole or Katharine Hepburn he\'ll like the Lion in Winter, if he sees it. He doesn\'t like either Joseph Cotton or Orson Wells, bt he does like Katharine Hepburn. So if he sees The Lion in Winter he will like it.

H. Betty will see either The Lion in Winter or Witness for the Prosecution. Marion will see Casablanca and Charade. If Betty sees Witness for the Prosecution Eric won\'t, but he will see Casablanca if Marion does. Betty won\'t see Witness for the Prosectuion, and she will see The Lion in Winter if and only if Phil does. So Phill will see The Lion in Winter.

Solution

B.

this is based on disjunction {OR satement} and the if - then {conditional statement}

OR is represented by V

conditional statement is represented by ---->

(Joseph Cotton V Orson Wells)

Phil ----> (Joseph Cotton V Orson Wells) /\\ (the third man)

/\\ represents conjunction or (&)

Phil ----> (Joseph Cotton V Orson Wells) /\\ (the third man)

this meant that if Phil likes either Joseph Cotton or Orson Wells he will like The Thrid Man .

likewise

Phil ----> (Peter O\'Toole V Katharine Hepburn) /\\ (the lion in Winter)

Phil ~ (Joseph Cotton V Orson Wells) V (Katharine Hepburn)

the lion in winter ----> he\'ll like it

H

Bety ----> (The Lion in Winter V Witness for the Prosecution)

Marion ----> (Casablanca /\\ Charade)

If Betty sees Witness for the Prosecution ----> ~ Eric

Marion will watch Casablanca ----> Eric will as well

if Phil watches The Lion in Winter ----> (Bety ~Witness for the Prosectuion /\\ the Lion in Winter) ----> ( Phil will see The Lion in Winter )