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.

If the gazebo is made of wood, then the vine is growing on the gazebo.
The vine is growing on the gazebo.
The gazebo is made of wood.

Answer 1

The short answer is invalid. p -> q and q -> p does not create the same truth table. But in general,

\[ p \rightarrow q \not \equiv q \rightarrow p\]

Answer 2

thank you agaon

Answer 3

again*