Chapter 9, Level 1 Self Quiz: EII

Quiz Content

not completed
. Determine whether the following truth table correctly shows the invalidity of the following argument (using the finite universe method).

1. ( x ) ( Lx ⊃ Mx )
2. ( x )Mx                / ( x )Lx

A universe containing one individual:

 The column heads of a truth table are L a, M a, L a horseshoe M a, and M a slash L. The table entries are as follows: Row 1: F, T, F, T F. Both the entries in the fourth column, and the entry in the second column are boxed, respectively. The entries in the fourth column are ticked.

not completed
. Determine whether the following truth table correctly shows the invalidity of the following argument (using the finite universe method).

1. ( x ) (Hx ⊃ Fx )
2. ( x ) ( Fx ⊃ Gx ) / ( x ) ( Gx ⊃ Hx )

A universe containing one individual:

 The column heads of a truth table are H a, F a, G a, H a horseshoe F a, F a horseshoe G a slash G a horseshoe H a. The table entries are as follows: Row 1: F, T, T, T, T F. Both the entries in the fifth column, and the entry in the fourth column are boxed, respectively. The entries in the fifth column are ticked.

not completed
. Determine whether the following truth table correctly shows the invalidity of the following argument (using the finite universe method).

1. (∃ x ) ( Gx • Lx )
2. (∃x ) ( Gx • Hx )        /( x ) ( Lx ⊃ Hx )

A universe containing two individuals:

 The column heads of a truth table are G a, L a, H a, G b, L b, H b, (G a dot L a) wedge (G b dot L b), (G a dot H a) wedge (G b dot H b), and slash (L a horseshoe H a) dot (L b horseshoe H b). The table entries are as follows: Row 1: T, T, F, T, T, T T, F T T, F F. The second entries in the seventh and eighth columns, the first entry in the sixth column are boxed, respectively. The entries in the eighth column are ticked.

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