Question $14$

The truth$-$functional connective SNERG has the following truth$-$table:

p$.....$q$.....$r$.....$SNERG$($p$,$q$,$r$)$

T$.....$T$.....$T$.....$F

T$.....$T$.....$F$.....$F

T$.....$F$.....$T$.....$F

T$.....$F$.....$F$.....$T

F$.....$T$.....$T$.....$T

F$.....$T$.....$F$.....$F

F$.....$F$.....$T$.....$F

F$.....$F$.....$F$.....$F

Which of the following arguments is valid?

$1$ point

~p

~q

$\_\_\_\_\_\_\_\_\_\_\_\_$

SNERG$($p$,$q$,$r$)$

~pVr

q

$\_\_\_\_\_\_\_\_\_\_\_\_$

SNERG$($p$,$q$,$r$)$

p

~q&r

$\_\_\_\_\_\_\_\_\_\_\_\_$

SNERG$($p$,$q$,$r$)$

~p&~r

q

$\_\_\_\_\_\_\_\_\_\_\_\_$

SNERG$($p$,$q$,$r$)$

None of the above