Question

Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used.

Either the gazebo is made of wood or the vine is growing on the gazebo.
The gazebo is not made of wood.
The vine is growing on the gazebo

Answer 1

hint :
call,
p : The gazebo is not made of wood.
q : The vine is growing on the gazebo

Answer 2

next step is to split the given statement into 3 parts.


Either the gazebo is made of wood

or

the vine is growing on the gazebo.

Answer 3

can you put the sentence in p and q ?

Answer 4

~pVq

Answer 5

wow thats right!! good work :D

Answer 6

so lets use this to decide if the given argument is valid or not

Answer 7

~p v q

is always true, because, here q is true

right ?

Answer 8

how we do that

Answer 9

"or" is true when ATLEAST one of the inputs is true

Answer 10

since "q" is true in our case,

~p v q is also true

so the given argument is VALID !

Answer 11

makes sense ?

Answer 12

yes