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Elementary Logic: Each of the following is a valid argument that is an instance

ID: 3012547 • Letter: E

Question

Elementary Logic: Each of the following is a valid argument that is an instance of one of the argument forms we have learned. Please identify the form.

1.            (T > (Q * Z))

               (T > (Q * Z)) > ((K v W) > G)                           

               -------------------------

               ((K v W) > G)                                      Answer: _______________

2.            (T * U) > (J > E)

               ~(J > E)

               ---------------------------------

               ~(T * U)                                              Answer: _______________

3.            ~~(Y * K)

               ~(Y * K) v (Z > ~Z)

               ----------------

               (Z > ~Z)                                               Answer: _______________

4.            ~~~(R * ~P) > (~~Y v X)

               (F > K) > ~~~ (R * ~P)

               -------------------------------

               (F > K) > (~~Y v X)                             Answer: _______________

5.            (E v O) * (F v K)

               -------------------------

               (E v O)                                                Answer: _______________

              

Construct a proof showing that each of the following arguments is valid. Please use your keyboard for all symbols (~ for the tilde; v for the wedge; * for the dot; > for the horseshoe; and = for the triple bar). Supply a justification for each new line you enter.

6.

1. P > Q

2. P

3. Q > R                / R * P

4.

5.

6.

7.

1. U v ~W

2. W v (S > H)

3. ~U

4. ~H                     /~S

5.

6.

7.

8.

1. L v N

2. L > ~R

3. ~~R                   /N

4.

5.

9.

1. D v E

2. E > W

3. ~T

4. D > T                /W

5.

6.

7.

Explanation / Answer

Elementary Logic: Each of the following is a valid argument that is an instance

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