Can you write down so that each schema on your list

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” can you write down so that each schema on your list implies the next schema on your list, but is not implied by it, and no schema on your list implies “( p s ) ( q r )”? (c) How many truth assignments to the sentence letters “ p, ” “ q ,” “ r, ” and “ s ” satisfy the schema “( p r ) ( q s )”? (d) How long a list of truth-functional schemata involving only the sentence letters p, ” “ q ,” “ r, ” and “ s ” can you write down so that no two schemata on your list are equivalent and no schema on your list implies, or is implied by, “(( p q ) ( r s ))”?
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4. (20 points) Answer each of the following questions. (a) How many structures with universe of discourse { 1 , 2 , 3 , 4 , 5 } interpeting only the monadic predicate letter “ F ” satisfy the following schema? ( x ) Fx ( x ) Fx (b) How many structures with universe of discourse { 1 , 2 , 3 , 4 , 5 } interpeting only the monadic predicate letters “ F, ” “ G, ” and “ H ” satisfy the following schema? ( x )(( Fx Gx ) Hx )
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