Use the change of quantifier rule together with the eighteen rules of inference to derive the conclusions of the following symbolized argument: (x)Ax ⊃ (Ǝx)Bx (x)~Bx                   / (Ǝx)~Ax

For the following list of premises, derive the conclusion and supply the justification for it.  1. ~J v P2. ~J3. S ⊃ J4.          

Use truth tables to determine whether the following symbolized statement is tautologous, self-contradictory, or contingent. [(E ⊃ F) ⊃ F] ⊃ E

For the following list of premises, derive the conclusion and supply the justification for it.  1. R ⊃ D2. E ⊃ R3.      

For the following categorical proposition identify the letter name, quantity, and quality. Some symphony orchestras are organizations on the brink of bankruptcy.

Use conversion, obversion, or contraposition to determine whether the following argument is valid or invalid. All unpleasant experiences are things we do not like to remember. Therefore, all things we like to remember are pleasant experiences.

Use the first four rules of inference to derive the conclusion of the following symbolized argument: 1. ~G ⊃ [G v (S ⊃ G)]2. (S v L) ⊃ ~G3. S v L                         / L

Use the eighteen rules of inference to derive the conclusion of the following symbolized argument. 1. Q ⊃ (F ⊃ A)2. R ⊃ (A ⊃ F)3. Q • R                     / F ≡ A

Use the first eight rules of inference to derive the conclusion of the following symbolized argument: 1.  G ⊃ (S • T) 2.  (S v T) ⊃ J 3.  G                    /J

 Identify the main operator in the following proposition: E • [(F ⊃ A) v (~G v H)]